Mathematics
description
Transcript of Mathematics
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Mathematics, Probability and Statistics
This section of the library was updated on 09-21-14. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License (available at
http://creativecommons.org/licenses/by-nc-nd/3.0/).
This work is free for personal and classroom use as is; you may not use this work for commercial purposes. Professor Joseph Vaisman Department of Computer Science and Engineering, NYU-Poly [email protected]
Contents Shelf0100: Starting in Mathematics Shelf0200: Calculus and Analysis Shelf0300: Advanced Calculus Shelf0310: Inequalities Shelf0400: Proofs Shelf0500: Geometry, Fractals, and Topology Shelf0600: Linear Algebra Shelf0700: Algebra Shelf0800: Multivariable Calculus Shelf0900: Ordinary Differential Equations Shelf1000: Partial Differential Equations Shelf1010: Functional Analysis Shelf1100: Discrete Mathematics Shelf1200: Number Theory Shelf1300: Graph Theory Shelf1400: Logic and Set Theory Shelf1500: Thoughts, Ideas, Opinions, Surveys, and Blogs Shelf1600: History of Mathematics Shelf1700: Mathematics and Technology
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Shelf1800: Probability and Statistics Shelf1900: Thomas Bayes Life and Work Shelf2000: Experimental Math and Math Computing Shelf2100: LaTeX Shelf2200: People and Places Shelf2300: Ramanujan Life and Work Shelf2400: Elements de Mathematique by N. Bourbaki Shelf2500: Mathematical Fun
============== Shelf0100: Starting in Mathematics ==============
Roots of Modern Technology: An Elegant Survey of the Basic Mathematical and Scientific Concepts Siegfried Wendt Springer, 2010, ISBN 978-3-642-12062-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-12062-6
http://dx.doi.org/10.1007/978-3-642-12062-6
Symmetry: A Mathematical Exploration Kristopher Tapp Springer, 2012, ISBN 978-1-4614-0299-2
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-0299-2
http://dx.doi.org/10.1007/978-1-4614-0299-2
How to Think Like a Mathematician: A Companion to Undergraduate Mathematics Kevin Houston Cambridge University Press, 2009, ISBN 9780511808258
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511808258
http://dx.doi.org/10.1017/CBO9780511808258
A Mathematical Odyssey: Journey from the Real to the Complex Steven G. Kranz and Harold R. Parks Springer, 2014, ISBN 978-1-4614-8939-9
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http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-8939-9
http://dx.doi.org/10.1007/978-1-4614-8939-9 Bridging the Gap to University Mathematics Martin Gould and Edward Hurst Springer, 2009, ISBN 978-1-84800-290-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-84800-290-6
http://dx.doi.org/10.1007/978-1-84800-290-6
A Readable Introduction to Real Mathematics Daniel Rosenthal, David Rosenthal, and Peter Rosenthal Springer, 2014, ISBN 978-3-319-05654-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05654-8
http://dx.doi.org/10.1007/978-3-319-05654-8
MATHematics Illuminated
http://www.learner.org/courses/mathilluminated/
Figuring It Out: Entertaining Encounters with Everyday Math Nuno Grato Springer, 2010, ISBN 978-3-642-04833-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-04833-3
http://dx.doi.org/10.1007/978-3-642-04833-3
Number Story: From Counting to Cryptography Peter M. Higgins Springer, 2008, ISBN 978-1-84800-001-8
http://dx.doi.org.databases.poly.edu/10.1007/978-1-84800-001-8
http://dx.doi.org/10.1007/978-1-84800-001-8
The Language of Mathematics: Utilizing Math in Practice Robert Laurence Baber Wiley, 2011, ISBN 9781118061770
http://dx.doi.org.databases.poly.edu/10.1002/9781118061770
http://dx.doi.org/10.1002/9781118061770
All the Mathematics You Missed: But Need to Know for Graduate School
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Thomas A. Garrity Cambridge University Press, 2001, ISBN 9780511800498
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511800498
http://dx.doi.org/10.1017/CBO9780511800498 Mathematics: Form and Function Saunders Mac Lane Springer, 1986, ISBN 978-1-4612-4872-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4872-9
http://dx.doi.org/10.1007/978-1-4612-4872-9
Chance Rules: An Informal Guide to Probability, Risk and Statistics, Second Edition Brian Everitt Springer, 2008, ISBN 978-0-387-77415-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77415-2
http://dx.doi.org/10.1007/978-0-387-77415-2
Probabilities: The Little Numbers that Rule Our Lives Peter Olofsson Wiley, 2007, ISBN 9780470099797
http://dx.doi.org.databases.poly.edu/10.1002/0470099798
http://dx.doi.org/10.1002/0470099798 A Mathematicians Apology G. H. Hardy
http://www.math.ualberta.ca/~mss/misc/ ****** open source ****** Cambridge University Press, 1992, ISBN 9781139644112
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139644112
http://dx.doi.org/10.1017/CBO9781139644112
Wikipedia: http://en.wikipedia.org/wiki/G._H._Hardy
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=============== Shelf0200: Calculus and Analysis ===============
Inside Calculus George R. Exner Springer, 2000, ISBN 978-0-387-22646-0 http://dx.doi.org.databases.poly.edu/10.1007/b97700
http://dx.doi.org/10.1007/b97700
Calculus Light Menahem Friedman and Abraham Kandel Springer, 2011, ISBN 978-3-642-17848-1
http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-17848-1
http://dx.doi.org/10.1007/978-3-642-17848-1
Calculus With Applications, Second Edition Peter D. Lax and Maria Shea Terrell Springer, 2014, ISBN 978-1-4614-7946-8
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7946-8
http://dx.doi.org/10.1007/978-1-4614-7946-8
Numbers and Functions: Steps into Analysis, Second Edition R. P. Burn Cambridge University Press, 2004, ISBN 9780511755248
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755248
http://dx.doi.org/10.1017/CBO9780511755248 Introduction to Calculus and Classical Analysis, Second Edition Omar Hijab Springer, 2007, ISBN 978-0-387-69316-3 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-69316-3
http://dx.doi.org/10.1007/978-0-387-69316-3
Calculus for the Ambitious T. W. Korner Cambridge University Press, 2014, ISBN 9781107517271
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781107517271
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http://dx.doi.org/10.1017/CBO9781107517271
From Calculus to Analysis Rinaldo B. Schinazi Springer, 2012, ISBN 978-0-8176-8289-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8289-7
http://dx.doi.org/10.1007/978-0-8176-8289-7
Real Analysis for the Undergraduate: With an Invitation to Functional Analysis Matthew A. Pons Springer, 2014, ISBN 978-1-4614-9638-0
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-9638-0
http://dx.doi.org/10.1007/978-1-4614-9638-0
Mathematical Analysis Fundamentals A. E. Bashirov Elsevier, 2014, ISBN 978-0-12-801001-3
http://www.sciencedirect.com.databases.poly.edu/science/book/978012801001
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http://www.sciencedirect.com/science/book/9780128010013
A Course in Mathematical Analysis, Volume I: Foundations and Elementary Real Analysis D. J. H. Garling Cambridge University Press, 2013, ISBN 9781139424493 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139424493
http://dx.doi.org/10.1017/CBO9781139424493
A Course in Mathematical Analysis, Volume II: Metric and Topological Spaces, Functions of a Vector Variable D. J. H. Garling Cambridge University Press, 2013, ISBN 9781139424509
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139424509
http://dx.doi.org/10.1017/CBO9781139424509
A Course in Mathematical Analysis, Volume III: Complex Analysis, Measure and Integration
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D. J. H. Garling Cambridge University Press, 2014, ISBN 9781139424516
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139424516
http://dx.doi.org/10.1017/CBO9781139424516 Mathematical Analysis I Claudio Canuto and Anita Tabacco Springer, 2008, ISBN 978-88-470-0876-2 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-0876-2
http://dx.doi.org/10.1007/978-88-470-0876-2
Lectures on Real Analysis Finnur Larusson Cambridge University Press, 2012, ISBN 9781139208604
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139208604
http://dx.doi.org/10.1017/CBO9781139208604
A Course in Calculus and Real Analysis Sudhir R. Ghorpade and Balmohan V. Limaye Springer, 2006, ISBN 978-0-387-36425-4
http://dx.doi.org.databases.poly.edu/10.1007/0-387-36425-0
http://dx.doi.org/10.1007/0-387-36425-0
The Real Numbers and Real Analysis Ethan D. Bloch Springer, 2011, ISBN 978-0-387-72177-4
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-72177-4
http://dx.doi.org/10.1007/978-0-387-72177-4 Problems in Real Analysis: Advanced Calculus on the Real Axis Teodora-Liliana T. Radulescu, Vicentiu D. Radulecu, and Titu Andrrescu Springer, 2009, ISBN 978-0-387-77379-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77379-7
http://dx.doi.org/10.1007/978-0-387-77379-7
A Problem Book in Real Analysis
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Asuman G. Aksoy and Mohamed A. Khamsi Springer, 2010, ISBN 978-1-4419-1296-1
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-1296-1
http://dx.doi.org/10.1007/978-1-4419-1296-1 Basic Real Analysis Anthony W. Knapp Springer, 2005, ISBN 978-0-8176-4441-3 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4441-5
http://dx.doi.org/10.1007/0-8176-4441-5
Advanced Real Analysis Anthony W. Knapp Springer, 2005, ISBN 978-0-8176-4442-0 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4442-3
http://dx.doi.org/10.1007/0-8176-4442-3
The Continuum: A Constructive Approach to Basic Concepts of Real Analysis Rudolf Taschner Springer, 2005, ISBN 978-3-322-82036-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-322-82036-5
http://dx.doi.org/10.1007/978-3-322-82036-5
Calculus of One Variable **** Terse, use of Maple is recommended **** Keith E. Hirst Springer, 2006, ISBN 978-1-884628-222-5
http://dx.doi.org.databases.poly.edu/10.1007/1-84628-222-5
http://dx.doi.org/10.1007/1-84628-222-5 From Real to Complex Analysis R. H. Dyer and D. E. Edmunds Springer, 2014, ISBN 978-3-319-06209-9 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06209-9
http://dx.doi.org/10.1007/978-3-319-06209-9
A Course in Complex Analysis: From Basic Results to Advanced Topics
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Wolfgang Fischer and Ingo Lieb Springer, 2012, ISBN 978-3-8348-8661-3
http://dx.doi.org.databases.poly.edu/10.1007/978-3-8348-8661-3
http://dx.doi.org/10.1007/978-3-8348-8661-3 Geometric Function Theory: Explorations in Complex Analysis Steven G. Krantz Springer, 2006, ISBN 978-0-8176-4440-6 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4440-7
http://dx.doi.org/10.1007/0-8176-4440-7
Complex Analysis: In the Spirit of Lipman Bers, Second Edition Rubi E. Rodriguez, Irwin Kra, and Jane P. Gilman Springer, 2013, ISBN 978-1-4419-7323-8 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7323-8
http://dx.doi.org/10.1007/978-1-4419-7323-8
The Integral: A Crux for Analysis Steven G. Krantz Morgan & Claypool, 2011, ISBN 9781608456147 http://dx.doi.org.databases.poly.edu/10.2200/S00327ED1V01Y201101MAS009
http://dx.doi.org/10.2200/S00327ED1V01Y201101MAS009
Measure, Integral, Derivative: A Course in Lebesgues Theory Sergei Ovchinnikov Springer, 2013, IS N978-1-4614-7196-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7196-7
http://dx.doi.org/10.1007/978-1-4614-7196-7
A Course on Integration Theory: including more than 150 exercises with detailed answers Nicolas Lerner Springer, 2014, ISBN 978-3-0348-0694-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0694-7
http://dx.doi.org/10.1007/978-3-0348-0694-7
Mathematical Analysis: Approximation and Discrete Processes
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Mariano Giaquinta and Giuseppe Modica Springer, 2004, ISBN 978-0-8176-4414-7
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4414-7
http://dx.doi.org/10.1007/978-0-8176-4414-7 Discovering Mathematics: A Problem-Solving Approach to Mathematical Analysis with MATHEMATICA and Maple Jiri Gregor and Jaroslav Tiser Springer, 2011, ISBN 978-0-85729-064-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-064-9
http://dx.doi.org/10.1007/978-0-85729-064-9
Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras Joseph Muscat Springer, 2014, ISBN 978-3-319-06728-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06728-5
http://dx.doi.org/10.1007/978-3-319-06728-5 Exercises in Analysis, Part I Leszek Gazinski and Nikolaos S. Papageorgiou Springer, 2014, ISBN 978-3-319-06176-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06176-4
http://dx.doi.org/10.1007/978-3-319-06176-4
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================ Shelf0300: Advanced Calculus ================= Advanced Calculus: A Geometric View James J. Callahan Springer, 2010, ISBN 978-1-4419-7332-0 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7332-0
http://dx.doi.org/10.1007/978-1-4419-7332-0
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Advanced Calculus: A Differential Forms Approach Harold M. Edwards Springer, 2014, ISBN 978-0-8176-8412-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8412-9
http://dx.doi.org/10.1007/978-0-8176-8412-9
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=================== Shelf0310: Inequalities =================== Inequalities: Theorems, Techniques and Selected Problems Zdravko Cvetkovski Springer, 2012, ISBN 978-3-642-23792-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-23792-8
http://dx.doi.org/10.1007/978-3-642-23792-8
Inequalities: With Applications to Engineering, Second Edition Michael J. Cloud, Byron C. Drachman, and Leonid P. Lebedev Springer, 2014, ISBN 978-3-319-05311-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05311-0
http://dx.doi.org/10.1007/978-3-319-05311-0
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities J. Michael Steele Cambridge University Press, 2004, ISBN 9780511917106 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511817106
http://dx.doi.org/10.1017/CBO9780511817106 Inequalities E. F. Beckenbach and R. Bellman Springer, 1965, ISBN 978-3-642-64971-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-64971-4
http://dx.doi.org/10.1007/978-3-642-64971-4
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===================== Shelf0400: Proofs ======================
Proofs from THE BOOK, Fifth Edition Martin Aigner and Gunther M. Ziegler Springer, 2014, ISBN 978-3-662-44205-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-662-44205-0
http://dx.doi.org/10.1007/978-3-662-44205-0
The Art of Proof: Basic Training for Deeper Mathematics Matthias Beck and Ross Geoghegan Springer, 2010, ISBN 978-1-4419-7023-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7023-7
http://dx.doi.org/10.1007/978-1-4419-7023-7
The Proof is in the Pudding: The Changing Nature of Mathematical Proof Steven G. Krantz Springer, 2011, ISBN 978-0-387-48744-1 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-48744-1
http://dx.doi.org/10.1007/978-0-387-48744-1
A Logical Introduction to Proof Daniel W. Cunningham Springer, 2012, ISBN 978-1-4614-3631-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-3631-7
http://dx.doi.org/10.1007/978-1-4614-3631-7
Informal Logic Pages 3-45 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2_1
http://dx.doi.org/10.1007/978-1-4419-7127-2_1
Strategies for Proofs Pages 47-88 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2_2
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http://dx.doi.org/10.1007/978-1-4419-7127-2_2
Proofs and Fundamentals: A First Course in Abstract Mathematics, Second Edition Ethan D. Bloch Springer, 2011, ISBN 978-1-4419-7127-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2
http://dx.doi.org/10.1007/978-1-4419-7127-2
Introduction to Mathematical Structures and Proofs, Second Edition Larry J. Gerstein Springer, 2012, ISBN 978-1-4614-4265-3
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-4265-3
http://dx.doi.org/10.1007/978-1-4614-4265-3
Paradigms of Proof Johnston Anderson and Keith Austin Pages 489-495 The Mathematical Gazette, Volume 79, Number 486 (November 1995)
http://www.jstor.org.databases.poly.edu/stable/3618075
http://www.jstor.org/stable/3618075
Introduction Creativity, Thought and Mathematical Proof Ian Winchester, Editor Special Issue: Creativity, Thought and Mathematical Proof Interchange, Volume 21, Number 1 (Spring 1990) http://dx.doi.org.databases.poly.edu/10.1007/BF01809603
http://dx.doi.org/10.1007/BF01809603
Why Do We Prove Theorems? Yehuda Ray Pages 5-41 Philosophia Mathematica, Volume 7, Issue 1 (February 1999) http://dx.doi.org.databases.poly.edu/10.1093/philmat/7.1.5
http://dx.doi.org/10.1093/philmat/7.1.5
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========== Shelf0500: Geometry, Fractals, and Topology ========== Mysteries of the Equilateral Triangle Brian J. McCartin http://www.m-hikari.com/bmp.html
HIKARI Ltd Publisher of International Scientific Journals and Books http://www.m-hikari.com/index.html
The Four Pillars of Geometry John Stillwell Springer, 2005, ISBN 978-0-387-29052-2
http://dx.doi.org.databases.poly.edu/10.1007/0-387-29052-4
http://dx.doi.org/10.1007/0-387-29052-4
Gems of Geometry, Second Edition John Barnes Springer, 2012, ISBN 978-3-642-30964-9
http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-30964-9
http://dx.doi.org/10.1007/978-3-642-30964-9
An Axiomatic Approach to Geometry: Geometric Trilogy I Francis Borceux Springer, 2014, ISBN 978-3-319-01730-3
http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-01730-3
http://dx.doi.org/10.1007/978-3-319-01730-3 An Algebraic Approach to Geometry: Geometric Trilogy II Francis Borceux Springer, 2014, ISBN 978-3-319-01733-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-01733-4
http://dx.doi.org/10.1007/978-3-319-01733-4
A Differential Approach to Geometry: Geometric Trilogy III Francis Borceux Springer, 2014, ISBN 978-3-319-01736-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-01736-5
http://dx.doi.org/10.1007/978-3-319-01736-5
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Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination Marjorie Senechal (Editor) Springer, 2013, IS N978-0-387-92714-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-92714-5
http://dx.doi.org/10.1007/978-0-387-92714-5
Manifold Mirrors: The Crossing Paths of the Arts and Mathematics Felipe Cucker Cambridge University Press, 2013, ISBN 9781139014632 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139014632
http://dx.doi.org/10.1017/CBO9781139014632
The Art of Science: From Perspective Drawing to Quantum Randomness Rossella Lupacchini and Annarita Angelini (Editors) Springer, 2014, ISBN 978-3-319-02111-9 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02111-9
http://dx.doi.org/10.1007/978-3-319-02111-9
Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry Jurgen Richter-Gebert Springer, 2011, ISBN 978-3-642-17286-1 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-17286-1
http://dx.doi.org/10.1007/978-3-642-17286-1 Symmetry and Pattern in Projective Geometry Eric Lord Springer, 2013, ISBN 978-1-4471-4631-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4631-5
http://dx.doi.org/10.1007/978-1-4471-4631-5
Geometry Revealed: A Jacobs Ladder to Modern Higher Geometry Marcel Berger Springer, 2010, ISBN 978-3-540-70997-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-70997-8
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http://dx.doi.org/10.1007/978-3-540-70997-8
Curves and Surfaces Marco Abate and Francesca Tovena Springer, 2012, ISBN 978-88-470-1941-6 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-1941-6
http://dx.doi.org/10.1007/978-88-470-1941-6
Dense Sphere Packings: A blueprint for formal proofs Thomas C. Hales Cambridge University Press, 2012, ISBN 9781139193894
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139193894
http://dx.doi.org/10.1017/CBO9781139193894
The Colours of Infinity: The Beauty and Power of Fractals Nigel Lesmoir-Gordon (Editor) Springer, 2011, ISBN 978-1-84996-486-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-84996-486-9
http://dx.doi.org/10.1007/978-1-84996-486-9
Chaos and Fractals: New Frontiers of Science, Second Edition Heinz-Otto Peitgen, Hartmut Jurgens, and Dietmar Saupe Springer, 2004, ISBN 978-0-387-21823-6 http://dx.doi.org.databases.poly.edu/10.1007/b97624
http://dx.doi.org/10.1007/b97624
The Science of Fractal Images Heinz-Otto Peitgen and Dietmar Saupe (Editors) Springer, 1988, ISBN 978-1-4612-3784-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-3784-6
http://dx.doi.org/10.1007/978-1-4612-3784-6
The Beauty of Fractals: Images of Complex Dynamical Systems H.-O. Peitgen and P.H. Richter Springer, 1986, ISBN 978-3-642-61717-1
http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-61717-1
http://dx.doi.org/10.1007/978-3-642-61717-1
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Fractal Geometry Steven G. Krantz Mathematical Intelligencer, Volume 11, Number 4 (Fall 1989) Pages 12-16
http://dx.doi.org.databases.poly.edu/10.1007/BF03025877
http://dx.doi.org/10.1007/BF03025877
Some Facts That Evaporate Upon Examination Benoit B. Mandelbrot Mathematical Intelligencer, Volume 11, Number 4 (Fall 1989) Pages 17-19
http://dx.doi.org.databases.poly.edu/10.1007/BF03025878
http://dx.doi.org/10.1007/BF03025878 Introduction to Topology and Geometry, Second Edition Saul Stahl and Catherine Stenson Wiley, 2013, ISBN 9781118545904 http://dx.doi.org.databases.poly.edu/10.1002/9781118545904
http://dx.doi.org/10.1002/9781118545904 A Course in Point Set Topology John B. Conway Springer, 2014, ISBN 978-3-319-02368-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02368-7
http://dx.doi.org/10.1007/978-3-319-02368-7
Measure, Topology, and Fractal Geometry, Second Edition Gerald Edgar Springer, 2008, ISBN 978-0-387-74749-1 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-74749-1
http://dx.doi.org/10.1007/978-0-387-74749-1
The Four-Color Theorem: History, Topological Foundations, and Idea of Proof Rudolf Fritsch and Gerda Fritsch Springer, 1998, ISBN 978-1-4612-1720-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-1720-6
http://dx.doi.org/10.1007/978-1-4612-1720-6
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A Short Course in Computational Geometry and Topology Herbert Edelsbrunner Springer, 2014, ISBN 978-3-319-05957-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05957-0
http://dx.doi.org/10.1007/978-3-319-05957-0
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================== Shelf0600: Linear Algebra ==================
Linear Algebra: Algorithms, Applications, and Techniques; Third Edition Richard Bronson, Gabriel B. Costa, and John T. Saccoman Elsevier, 2014, ISBN 978-0-12-391420-0 http://www.sciencedirect.com.databases.poly.edu/science/book/978012391420
0
http://www.sciencedirect.com/science/book/9780123914200
Linear Algebra: for everyone Lorenzo Robbiano Springer, 2011, ISBN 978-88-470-1839-6 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-1839-6
http://dx.doi.org/10.1007/978-88-470-1839-6
Finite-Dimensional Vector Spaces Paul R. Halmos Springer, 1987, ISBN 978-1-4612-6387-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-6387-6
http://dx.doi.org/10.1007/978-1-4612-6387-6
Vectors, Pure and Applied: A General Introduction to Linear Algebra T. W. Krner
Cambridge University Press, 2013, ISBN 9781139520034 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139520034
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http://dx.doi.org/10.1017/CBO9781139520034
A First Course in Linear Algebra Robert A. Beezer (2004-2013) http://linear.ups.edu/download.html
Linear Algebra Thoroughly Explained Milan Vujicic Springer, 2007, ISBN 978-3-540-74639-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-74639-3
http://dx.doi.org/10.1007/978-3-540-74639-3
Linear Algebra: Concepts and Methods Martin Anthony and Michele Harvey Cambridge University Press, 2012, ISBN 9780511844249
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511844249
http://dx.doi.org/10.1017/CBO9780511844249
A Concise Introduction to Linear Algebra Geza Schay Springer, 2012, ISBN 978-0-8176-8325-2
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8325-2
http://dx.doi.org/10.1007/978-0-8176-8325-2
Linear Algebra Peter Petersen Springer, 2012, ISBN 978-1-4614-3612-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-3612-6
http://dx.doi.org/10.1007/978-1-4614-3612-6 The Linear Algebra a Beginning Graduate Student Ought to Know, Third Edition Jonathan S. Golan Springer, 2012, ISBN 978-94-007-2636-9 http://dx.doi.org.databases.poly.edu/10.1007/978-94-007-2636-9
http://dx.doi.org/10.1007/978-94-007-2636-9
Applied Linear Algebra and Matrix Analysis
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Thomas Shores Springer, 2007, ISBN 978-0-387-48947-6
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-48947-6
http://dx.doi.org/10.1007/978-0-387-48947-6 Matrix Analysis, Second Edition Roger A. Horn and Charles R. Johnson Cambridge University Press, 2013, ISBN 9781139020411 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139020411
http://dx.doi.org/10.1017/CBO9781139020411
Matrix Reference Manual Mike Brookes
http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/ Home Page
http://www.ee.ic.ac.uk/hp/staff/dmb/
Advanced Linear Algebra Nicholas Loehr CRC Press, 2014, ISBN 978-1-4665-5902-8 http://dx.doi.org.databases.poly.edu/10.1201/b16505
http://dx.doi.org/10.1201/b16505
Advanced Linear Algebra, Third Edition Steven Roman Springer, 2008, ISBN 978-0-387-72831-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-72831-5
http://dx.doi.org/10.1007/978-0-387-72831-5
Algebra and Number Theory: An Integrated Approach Martyn R. Dixon, Leonid A. Kurdachenko, and Igor Ya. Subbotin Wiley, 2010, ISBN 9780470640548
http://dx.doi.org.databases.poly.edu/10.1002/9780470640548
http://dx.doi.org/10.1002/9780470640548
Linear Algebra and Geometry Igor R. Shafarevich and Alexey O. Remizov
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Springer, 2013, ISBN 978-3-642-30994-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-30994-6
http://dx.doi.org/10.1007/978-3-642-30994-6
Separable Type Representations of Matrices and Fast Algorithms Volume 1: Basics. Completion Problems. Multiplication and Inversion Algorithms Yuli Eidelman, Israel Goldberg, and Julian Haimovici Springer, 2014, ISBN 978-3-0348-0606-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0606-0
http://dx.doi.org/10.1007/978-3-0348-0606-0
Separable Type Representations of Matrices and Fast Algorithms Volume 2: Eigenvalue Method Yuli Eidelman, Israel Goldberg, and Julian Haimovici Springer, 2014, ISBN 978-3-0348-0612-1 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0612-1
http://dx.doi.org/10.1007/978-3-0348-0612-1
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===================== Shelf0700: Algebra ===================== Classical Algebra: Its Nature, Origins, and Uses Roger Cooke Wiley, 2008, ISBN 9780470277980 http://dx.doi.org.databases.poly.edu/10.1002/9780470277980
http://dx.doi.org/10.1002/9780470277980 Basic Algebra Anthony W. Knapp Springer, 2006, ISBN 978-0-8176-4529-8 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4529-8
http://dx.doi.org/10.1007/978-0-8176-4529-8
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Advanced Algebra Anthony W. Knapp Springer, 2007, ISBN 978-0-8176-4613-4 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4613-4
http://dx.doi.org/10.1007/978-0-8176-4613-4
Groups: An Introduction to Ideas and Methods of the Theory of Groups Antonio Machi Springer, 2012, ISBN 978-88-470-2421-2 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-2421-2
http://dx.doi.org/10.1007/978-88-470-2421-2
Basic Modern Algebra with Applications Mahima Ranjan Adhikari and Avishek Adhikari Springer, 2014, ISBN 978-81-322-1599-8
http://dx.doi.org.databases.poly.edu/10.1007/978-81-322-1599-8
http://dx.doi.org/10.1007/978-81-322-1599-8
Drawing with Complex Numbers Michael Eastwood and Roger Penrose Pages 8-13 The Mathematical Intelligencer, Volume 22, Number 4 (December 2000)
http://dx.doi.org.databases.poly.edu/10.1007/BF03026760
http://dx.doi.org/10.1007/BF03026760
Why do Mathematicians Need Different Ways of Presenting Mathematical Objects? The Case of Cayley Graphs Irina Starikova Pages 41-51
http://dx.doi.org.databases.poly.edu/10.1007/s11245-009-9065-4
http://dx.doi.org/10.1007/s11245-009-9065-4 Special Issue: Mathematical Knowledge: Intuition, visualization, and understanding Leon Horsten and Irina Starikova(Editors) Topoi, Volume 29, Number 1 (April 2010) Exterior Analysis: Using Applications of Differential Forms Erdogan S. Suhubi Elsevier, 2013, ISBN 978-0-12-415902-0
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http://www.sciencedirect.com.databases.poly.edu/science/book/978012415902
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http://www.sciencedirect.com/science/book/9780124159020
Representation Theory: A Homological Algebra Point of View Alexander Zimmerman Springer, 2014, ISBN 978-3-319-07968-4
http://link.springer.com.databases.poly.edu/book/10.1007/978-3-319-07968-4
http://link.springer.com/book/10.1007/978-3-319-07968-4
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=============== Shelf0800: Multivariable Calculus =============== Mathematical Analysis: An Introduction to Functions of Several Variables Mariano Giaquinta and Guiseppe Modica Springer, 2009, ISBN 978-0-8176-4612-7
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4612-7
http://dx.doi.org/10.1007/978-0-8176-4612-7 A Course in Multivariable Calculus and Analysis Sudhir R. Ghorpade and Balmohan V. Limaye Springer, 2010, ISBN 978-1-4419-1621-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-1621-1
http://dx.doi.org/10.1007/978-1-4419-1621-1
Differential Forms: Theory and Practice, Second Edition Steven H. Weintraub Elsevier, 2014, ISBN 978-0-12-394403-0 http://www.sciencedirect.com.databases.poly.edu/science/book/978012394403
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http://www.sciencedirect.com/science/book/9780123944030 A Geometric Approach to Differential Forms David Bachman
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Springer, 2006, ISBN 978-0-8176-4520-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4520-5
http://dx.doi.org/10.1007/978-0-8176-4520-5
Introduction to Tensor Analysis and the Calculus of Moving Surfaces Pavel Grinfeld Springer, 2013, ISBN 978-1-4614-7867-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7867-6
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=========== Shelf0900: Ordinary Differential Equations =========== Introductory Differential Equations, Fourth Edition Martha L. Abell and James P. Braselton Elsevier, 2014, ISBN 978-0-12-417219-7
http://www.sciencedirect.com.databases.poly.edu/science/book/978012417219
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http://www.sciencedirect.com/science/book/9780124172197
Ordinary Differential Equations: Analysis, Qualitative Theory and Control Hartmut Logemann and Eugene P. Ryan Springer, 2014, ISBN 978-1-4471-6398-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-6398-5
http://dx.doi.org/10.1007/978-1-4471-6398-5
Differential Equations: A Primer for Scientists and Engineers Christian Constanda Springer, 2013, ISBN 978-1-4614-7297-1
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7297-1
http://dx.doi.org/10.1007/978-1-4614-7297-1
A First Course in Differential Equations, Second Edition J. David Logan
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Springer, 2011, ISBN 978-1-4419-7592-8 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7592-8
http://dx.doi.org/10.1007/978-1-4419-7592-8
An Introduction to Ordinary Differential Equations Ravi P. Agarwal and Donal ORegan Springer, 2008, ISBN 978-0-387-71276-5
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-71276-5
http://dx.doi.org/10.1007/978-0-387-71276-5
Differential Equations: Theory and Applications, Second Edition David Bettounes Springer, 2010, ISBN 978-1-4419-1163-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-1163-6
http://dx.doi.org/10.1007/978-1-4419-1163-6
A Textbook on Ordinary Differential Equations Shair Ahmad and Antonio Ambroscetti Springer, 2014, ISBN 978-3-319-02129-4
http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02129-4
http://dx.doi.org/10.1007/978-3-319-02129-4 A First Course in Ordinary Differential Equations: Analytical and Numerical Methods Martin Hermann and Masoud Saravi Springer, 2014, ISBN 978-81-322-1835-7 http://dx.doi.org.databases.poly.edu/10.1007/978-81-322-1835-7
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============ Shelf1000: Partial Differential Equations ============ Introduction to Partial Differential Equations Peter J. Olver
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Springer, 2014, ISBN 978-3-319-02099-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02099-0
http://dx.doi.org/10.1007/978-3-319-02099-0
Partial Differential Equations, Second Edition Emmanuele DiBenedetto Springer, 2010, ISBN 978-0-8176-4552-6
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4552-6
http://dx.doi.org/10.1007/978-0-8176-4552-6
Partial Differential Equations, Third Edition Jurgen Jost Springer, 2013, ISBN 978-1-4614-4809-9
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-4809-9
http://dx.doi.org/10.1007/978-1-4614-4809-9
Lectures on Partial Differential Equations Vladimir I. Arnold Springer, 2004, ISBN 978-3-662-05441-3
http://dx.doi.org.databases.poly.edu/10.1007/978-3-662-05441-3
http://dx.doi.org/10.1007/978-3-662-05441-3 Solving Numerical PDEs: Problems, Applications, Exercises Luca Formaggia, Fausto Saleri, and Alessandro Veneziani Springer, 2012, ISBN 978-88-470-2412-0 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-2412-0
http://dx.doi.org/10.1007/978-88-470-2412-0
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================ Shelf1010: Functional Analysis ================ Methods of Nonlinear Analysis: Applications to Differential Equations, Second Edition
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Pavel Drabek and Jaroslav Milota Springer, 2013, ISBN 978-3-0348-0387-8
http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0387-8
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=============== Shelf1100: Discrete Mathematics ===============
Chapter 1 The Bridge Between Continuous and Discrete Pages 1-82 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-33062-4_1
http://dx.doi.org/10.1007/978-0-387-33062-4_1
Mathematical Masterpieces: Further Chronicles by the Explorers Arthur Knoebel, Reinhad Laubenbacher, Jerry Lodder, and David Pengelley Springer, 2007, ISBN 978-0-387-33062-4
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-33062-4
http://dx.doi.org/10.1007/978-0-387-33062-4
Sets, Logic and Maths for Computing, Second Edition David Makinson Springer, 2012, ISBN 978-1-4471-2500-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-2500-6
http://dx.doi.org/10.1007/978-1-4471-2500-6
Fundamentals of Discrete Math for Computer Science: A Problem-Solving Primer Tom Jenkyns and Ben Stephenson Springer, 2013, ISBN 978-1-4471-4069-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4069-6
http://dx.doi.org/10.1007/978-1-4471-4069-6
Mathematics of Discrete Structures for Computer Science Gordon J. Pace Springer, 2012, ISBN 978-3-642-29840-0
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http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-29840-0
http://dx.doi.org/10.1007/978-3-642-29840-0 A Beginners Guide to Discrete Mathematics, Second Edition W.D. Wallis Springer, 2012, ISBN 978-0-8176-8286-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8286-6
http://dx.doi.org/10.1007/978-0-8176-8286-6
A First Course in Discrete Mathematics Ian Anderson Springer, 2002, ISBN 978-0-85729-315-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-315-2
http://dx.doi.org/10.1007/978-0-85729-315-2
Transfinite Numbers What Is Infinity? S M Srivastava Pages 58-68 Resonance, Volume 2, Number 3 (March 1997) http://dx.doi.org.databases.poly.edu/10.1007/BF02838969
http://dx.doi.org/10.1007/BF02838969
The Mathematics of Infinity: A Guide to Great Ideas, Second Edition Theodore G. Faticoni Wiley, 2012, ISBN 9781118243879
http://dx.doi.org.databases.poly.edu/10.1002/9781118243879
http://dx.doi.org/10.1002/9781118243879
In Search of Infinity N. Ya. Vilenkin Springer, 1995, ISBN 978-1-4612-0837-2
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-0837-2
http://dx.doi.org/10.1007/978-1-4612-0837-2
Introduction to Finite Mathematics John G. Kemeny, J. Laurie Snell, and Gerald L. Thompson
http://www.math.dartmouth.edu/~doyle/docs/finite/cover/cover.html
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Topics in Finite and Discrete Mathematics Sheldon M. Ross Cambridge University Press, 2000, ISN 9780511755354 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755354
http://dx.doi.org/10.1017/CBO9780511755354
Algebra Through Problem Solving Abraham P. Hillman and Gerald I. Alexanderson http://www.thiel.edu/mathproject/atps/default.htm
Mathematics Is Not a Spectator Sport George M. Phillips Springer, 2005, ISBN 978-0-387-28697-7 http://dx.doi.org.databases.poly.edu/10.1007/0-387-28697-7
http://dx.doi.org/10.1007/0-387-28697-7
Discrete Mathematics: Elementary and Beyond L. Lovasz, J. Pelikan, and K. Vesztergombi Springer, 2003, ISBN 978-0-387-21777-2
http://dx.doi.org.databases.poly.edu/10.1007/b97469
http://dx.doi.org/10.1007/b97469
Looking at Numbers Tom Johnson and Franck Jedrzejewski Springer, 2014, ISBN 978-3-0438-0554-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0554-4
http://dx.doi.org/10.1007/978-3-0348-0554-4
The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications Martin Gardner Springer, 1997, ISBN 978-0-387-30389-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-30389-5
http://dx.doi.org/10.1007/978-0-387-30389-5
Difference Equations: From Rabbits to Chaos
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Paul Cull, Mary Flahive, and Robby Robson Springer, 2005, ISBN 978-0-387-27645-9
http://dx.doi.org.databases.poly.edu/10.1007/0-387-27645-9
http://dx.doi.org/10.1007/0-387-27645-9 An Introduction to Difference Equations, Third Edition Saber Elaydi Springer, 2005, ISBN 978-0-387-23059-7 http://dx.doi.org.databases.poly.edu/10.1007/0-387-27602-5
http://dx.doi.org/10.1007/0-387-27602-5
Fibonacci and Catalan Numbers: An Introduction Ralph P. Grimaldi Wiley, 2012, ISBN 9781118159743 http://dx.doi.org.databases.poly.edu/10.1002/9781118159743
http://dx.doi.org/10.1002/9781118159743
Fibonacci and Lucas Numbers with Applications Thomas Koshy Wiley, 2001, ISBN 9781118033067 http://dx.doi.org.databases.poly.edu/10.1002/9781118033067
http://dx.doi.org/10.1002/9781118033067
The Thrills of Abstraction P. R. Halmos Pages 243-251 The Two-Year College Mathematics Journal, Volume 13, Number 4 (September 1982)
http://www.jstor.org.databases.poly.edu/stable/3027126
http://www.jstor.org/stable/3027126 Combinatorics Through Guided Discovery Kenneth P. Bogart (2004)
http://www.math.dartmouth.edu/news-resources/electronic/kpbogart/ Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems Pablo Soberon Springer, 2013, ISBN 978-3-0348-0597-1
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http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0597-1
http://dx.doi.org/10.1007/978-3-0348-0597-1 A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory, Second Edition Miklos Bona World Scientific, 2006, ISBN 981-256-885-9 **** Some pages missing *** https://books.google.com/books?isbn=9789814335232
Constructive Combinatorics Dennis Stanton and Dennis White Springer, 1986, ISBN 978-1-4612-4968-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4968-9
http://dx.doi.org/10.1007/978-1-4612-4968-9
Combinatorics, Second Edition Russell Merris Wiley, 2003, Online ISBN 978-0-471-44968-3
http://dx.doi.org.databases.poly.edu/10.1002/0471449687
http://dx.doi.org/10.1002/0471449687
Applied Combinatorics Michael T. Keller and William T. Trotter http://people.math.gatech.edu/~trotter/keller-wtt-book/keller-wtt-book.pdf
Website of William T. Trotter http://people.math.gatech.edu/~trotter/
Analytic Combinatorics Philippe Flajolet and Robert Sedgewick Cambridge University Press, 2009, ISBN 9780511801655
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511801655
http://dx.doi.org/10.1017/CBO9780511801655 Algebraic Combinatorics: Walks, Trees, Tableaux, and More Richard P. Stanley Springer, 2013, ISBn 978-1-4614-6998-8
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http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-6998-8
http://dx.doi.org/10.1007/978-1-4614-6998-8 Inverse Relations and Combinatorial Identities John Riordan Pages 485-498 American Mathematical Monthly, Volume 71, Number 5 (May 1964) http://www.jstor.org.databases.poly.edu/stable/2312584
http://www.jstor.org/stable/2312584
The Pigeonhole Principle (What It Is, How It Works, and How It Applies to Map Coloring) Kenneth R. Rebman Pages 3-13 The Two-Year College Mathematics Journal, Volume 10, Number 1 (January 1979) http://www.jstor.org.databases.poly.edu/stable/3026807
http://www.jstor.org/stable/3026807
The Truth about Venn Diagrams Ian Stewart Pages 47-54 The Mathematical Gazette, Volume 60, Number 411 (March 1976) http://www.jstor.org.databases.poly.edu/stable/3615644
http://www.jstor.org/stable/3615644
Is the Venn Diagram Good Enough? Mou-liang Kung and George C. Harrison Pages 48-50 The College Mathematics Journal, Volume 15, Number 1 (January 1984) http://www.jstor.org.databases.poly.edu/stable/3027430
http://www.jstor.org/stable/3027430
On Picture-Writing George Polya Pages 689-697 The American Mathematical Monthly, Vol. 63, No. 10 (December 1956)
http://www.jstor.org.databases.poly.edu/stable/2309555
http://www.jstor.org/stable/2309555
Notes on Introductory Combinatorics George Polya, Robert E. Tarjan, and Donald R. Woods
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Springer, 2010, ISBN 978-0-8176-4953-1 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4953-1
http://dx.doi.org/10.1007/978-0-8176-4953-1
Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds G. Polya and R.C. Read Springer, 1987, ISBN 978-1-4612-4664-0
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4664-0
http://dx.doi.org/10.1007/978-1-4612-4664-0
Combinatorial Snapshots Gian-Carlo Rota Pages 8-14 The Mathematical Intelligencer, 1999, Volume 21, Number 2 (June 1999)
http://dx.doi.org.databases.poly.edu/10.1007/BF03024840
http://dx.doi.org/10.1007/BF03024840
On the foundations of combinatorial theory I. Theory of Mobius Functions Gian-Carlo Rota Pages 340-368 Probability Theory and Related Fields, 1964, Volume 2, Number 4 (1964)
http://dx.doi.org.databases.poly.edu/10.1007/BF00531932
http://dx.doi.org/10.1007/BF00531932 Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry Jiri Herman, Radan Kucera, and Jaromir Simsa Springer, 2003, ISBN 978-1-4757-3925-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4757-3925-1
http://dx.doi.org/10.1007/978-1-4757-3925-1
Counting: The Art of Enumerative Combinatorics George E. Martin Springer, 2001, ISBN 978-1-4757-4878-9
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4757-4878-9
http://dx.doi.org/10.1007/978-1-4757-4878-9
An Introduction to Enumeration Alan Camina and Barry Lewis
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Springer, 2011, ISBN 978-0-85729-599-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-600-9
http://dx.doi.org/10.1007/978-0-85729-600-9
A Course in Enumeration Martin Aigner Springer, 2007, ISBN 978-3-540-39032-9
http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-39035-0
http://dx.doi.org/10.1007/978-3-540-39035-0
Enumerative Combinatorics, Volume 1, Second Edition Richard P. Stanley Cambridge University Press, 2012, ISBN 9781139058520
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139058520
http://dx.doi.org/10.1017/CBO9781139058520
Enumerative Combinatorics, Volume 2 Richard P. Stanley Cambridge University Press, 1999, ISBN 978-0-511-60958-9
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511609589
http://dx.doi.org/10.1017/CBO9780511609589 Combinatorial Theory Martin Aigner Springer, 1997, ISBN 978-3-642-59101-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-59101-3
http://dx.doi.org/10.1007/978-3-642-59101-3
A Course in Combinatorics, Second Edition J. H. van Lint and R. M. Wilson Cambridge University Press, 2001, ISBN 9780511987045 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511987045
http://dx.doi.org/10.1017/CBO9780511987045
Combinatorial Theory, Second Edition Marshall Hall, Jr. Wiley, 1983 (1998), ISBN 9781118032862
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http://onlinelibrary.wiley.com.databases.poly.edu/book/10.1002/978111803286
2
http://onlinelibrary.wiley.com/book/10.1002/9781118032862
Partition bijections, a survey Igor Pak Pages 5-7 The Ramanujan Journal, Volume 12, Number 1 (August 2006)
http://dx.doi.org.databases.poly.edu/10.1007/s11139-006-9576-1
http://dx.doi.org/10.1007/s11139-006-9576-1
Permutations, matrices, and generalized Young tableaux Donald E. Knuth Pages 709-727 Pacific Journal of Mathematics, Volume 34, Number 3 (1970) http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=e
uclid.pjm/1102971948
Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition Louis Comtet Springer, 1974, ISBN 978-94-010-2196-8 http://dx.doi.org.databases.poly.edu/10.1007/978-94-010-2196-8
http://dx.doi.org/10.1007/978-94-010-2196-8 Analytic Combinatorics Philippe Flajolet and Robert Sedgewick Cambridge University Press, 2009, ISBN 9780511801655 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511801655
http://dx.doi.org/10.1017/CBO9780511801655
Geometric Etudes in Combinatorial Mathematics Alexander Soifer Springer, 2010, ISBN 978-0-387-75469-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-75470-3
http://dx.doi.org/10.1007/978-0-387-75470-3
Ramsey Theory: Yesterday, Today, and Tomorrow Alexander Soifer (Editor)
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Springer, 2011, ISBN 978-0-8176-8092-3 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8092-3
http://dx.doi.org/10.1007/978-0-8176-8092-3
Configurations from a Graphical Viewpoint Tomaz Pisanski and Brigitte Servatius Springer, 2013, ISBN 978-0-8176-8364-1
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8364-1
http://dx.doi.org/10.1007/978-0-8176-8364-1
Matroids: A Geometric Introduction Gary Gordon and Jennifer McNulty Cambridge University Press, 2012, ISBN 9781139049443
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139049443
http://dx.doi.org/10.1017/CBO9781139049443
The Combinatorial Object Server http://www.theory.csc.uvic.ca/~cos/
The On-Line Encyclopedia of Integer Sequences (OEIS) https://oeis.org/
Website of Neil J. A. Sloane http://neilsloane.com/
Games of No Chance Richard J. Nowakowski (Editor)
http://library.msri.org/books/Book29/
More Games of No Chance Richard J. Nowakowski (Editor)
http://library.msri.org/books/Book42/
Games of No Chance 3 Michael H. Albert and Richard J. Nowakowski (Editors) Cambridge University Press, 2009, ISBN 9780511807251 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511807251
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http://dx.doi.org/10.1017/CBO9780511807251
Combinatorial Games: Tic-Tac-Toe Theory Jozsef Beck Cambridge University Press, 2008, ISBN 978-0-511-73520-2 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511735202
http://dx.doi.org/10.1017/CBO9780511735202
generatingfunctionology, Second Edition Academic Press, 1994 Herbert Wilf
http://www.math.upenn.edu/~wilf/DownldGF.html Website of Herbert Wilf
http://www.math.upenn.edu/~wilf/ Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics Ross G. Pinsky Springer, 2014, ISBN 978-3-319-07965-3
http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-07965-3
http://dx.doi.org/10.1007/978-3-319-07965-3
Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra Matthias Beck and Sinai Robins Springer, 2007, ISBN 978-0-387-46112-0
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-46112-0
http://dx.doi.org/10.1007/978-0-387-46112-0
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================= Shelf1200: Number Theory ================== Elementary Number Theory in Nine Chapters, Second Edition James J. Tattersall Cambridge University Press, 2005, ISBN 9780511756344
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http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511756344
http://dx.doi.org/10.1017/CBO9780511756344 Number Theory: Structures, Examples, and Problems Dorin Andrica and Titu Andreescu Springer, 2009, ISBN 978-0-8176-4645-5 http://dx.doi.org.databases.poly.edu/10.1007/b11856
http://dx.doi.org/10.1007/b11856
An Introduction to Diophantine Equations: A Problem-Based Approach Titu Andreescu, Dorin Andrica, and Ion Cucurezeanu Springer, 2010, ISBN 978-0-8176-4549-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4549-6
http://dx.doi.org/10.1007/978-0-8176-4549-6
Complex Numbers From A to Z, Second Edition Titu Andreescu and Dorin Andrica Springer, 2014, ISBN 978-0-8176-8415-0 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8415-0
http://dx.doi.org/10.1007/978-0-8176-8415-0
Number Theory: An Introduction to Mathematics William A. Coppel Springer, 2009, ISBN 978-0-387-89486-7
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-89486-7
http://dx.doi.org/10.1007/978-0-387-89486-7
A Comprehensive Course in Number Theory Alan Baker Cambridge University Press, 2012, ISBN 9781139093835
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139093835
http://dx.doi.org/10.1017/CBO9781139093835 Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory Jiri Herman, Radan Kucera, and Jaromir Simsa Springer, 2000, ISBN 978-1-4612-1270-6
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http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-1270-6
http://dx.doi.org/10.1007/978-1-4612-1270-6 Arithmetic Tales Olivier Bordelles Springer, 2012, ISBN 978-1-4471-4096-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4096-2
http://dx.doi.org/10.1007/978-1-4471-4096-2
An Introduction to Number Theory Graham Everest and Thomas Ward Springer, 2005, ISBN 978-1-84628-044-3 http://dx.doi.org.databases.poly.edu/10.1007/b137432
http://dx.doi.org/10.1007/b137432
PRIMES: What is Riemanns Hypothesis? Barry Mazur and William Stein (2014) http://wstein.org/books/rh/
Elementary Number Theory: Primes, Congruences, and Secrets William Stein (2011) http://wstein.org/ent/
Number Theory: An Introduction via the Distribution of Primes Benjamin Fine and Gerhard Rosenberger Springer, 2006, ISBN 978-0-8176-4541-0
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4541-0
http://dx.doi.org/10.1007/978-0-8176-4541-0 Prime Numbers: A Computational Perspective, Second Edition Richard Crandall and Carl Pomerance Springer, 2005, ISBN 978-0-387-28979-8 http://dx.doi.org.databases.poly.edu/10.1007/0-387-28979-8
http://dx.doi.org/10.1007/0-387-28979-8 Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity,
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Fifth Edition Manfred Schroeder Springer, 2009, ISBN 978-3-540-85298-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-85298-8
http://dx.doi.org/10.1007/978-3-540-85298-8
Algebraic Number Theory Frazer Jarvis Springer, 2014, ISBN 978-3-319-07545-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-07545-7
http://dx.doi.org/10.1007/978-3-319-07545-7
Algebraic Number Theory, A Computational Approach William Stein (2012) http://wstein.org/books/ant/ant.pdf
Introduction to Modern Number Theory Yuri Ivanovic Manin and Alexei A. Panchishkin Springer, 2005, ISBN 3-540-27692-0
http://dx.doi.org.databases.poly.edu/10.1007/3-540-27692-0
http://dx.doi.org/10.1007/3-540-27692-0
A Primer of Analytic Number Theory: From Pythagoras to Riemann Jeffrey Stopple Cambridge University Press, 2003, ISBN 9780511755132
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755132
http://dx.doi.org/10.1017/CBO9780511755132
On Certain Sequences of Integers Defined by Sieves Verna Gardiner, R. Lazarus, N. Metropolis, and S. Ulam Pages 117-122 Mathematics Magazine, Volume 29, Number 3 (January-February 1956)
http://www.jstor.org.databases.poly.edu/stable/3029719
http://www.jstor.org/stable/3029719 A Visual Display of Some Properties of the Distribution of Primes M. L. Stein, S. M. Ulam, and M. B. Wells Pages 516-520 American Mathematical Monthly, Volume 71, Number 5 (May 1964)
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http://www.jstor.org.databases.poly.edu/stable/2312588
http://www.jstor.org/stable/2312588 An Introduction to Sieve Methods and Their Applications Alina Carmen Cojocaru and M. Ram Murty Cambridge University Press, 2005, ISBN 978-0-511-61599-3 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511615993
http://dx.doi.org/10.1017/CBO9780511615993
Neverending Fractions: An Introduction to Continued Fractions Jonathan Borwein, Alf Van der Poorten, Jeffrey Shallit, and Wadim Zudilin Cambridge University Press, 2014, ISBN 9780511902659 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511902659
http://dx.doi.org/10.1017/CBO9780511902659
Transcendental Numbers M. Ram Murty and Purusottam Rath Springer, 2014, ISBN 978-1-4939-0832-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4939-0832-5
http://dx.doi.org/10.1007/978-1-4939-0832-5
Lattice Theory: Foundation George Gratzer Springer, 2011, ISBN 978-3-0348-0018-1
http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0018-1
http://dx.doi.org/10.1007/978-3-0348-0018-1
Lattice Theory: Special Topics and Applications, Volume 1 George Gratzer and Friedrich Wehrung (Editors) Springer, 2014, ISBN 978-3-319-06413-0
http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06413-0
http://dx.doi.org/10.1007/978-3-319-06413-0
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================== Shelf1300: Graph Theory =================== A Beginners Guide to Graph Theory, Second Edition W. D. Wallis Springer, 2007, ISBN 978-0-8176-4580-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4580-9
http://dx.doi.org/10.1007/978-0-8176-4580-9
Combinatorics and Graph Theory, Second Edition John M. Harris, Jeffry L. Hirst, and Michael J. Mossinghoff Springer, 2008, ISBN 978-0-387-79711-3
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-79711-3
http://dx.doi.org/10.1007/978-0-387-79711-3
Graph Theory with Algorithms and Its Applications: In Applied Science and Technology Santanu Saha Ray Springer, 2013, ISBN 978-81-322-0750-4 http://dx.doi.org.databases.poly.edu/10.1007/978-81-322-0750-4
http://dx.doi.org/10.1007/978-81-322-0750-4
Covering Walks in Graphs Futaba Fujie and Ping Zhang Springer, 2014, ISBN 978-1-4939-0305-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4939-0305-4
http://dx.doi.org/10.1007/978-1-4939-0305-4
Magic Graphs, Second edition Alison M. Marr and W.D. Wallis Springer, 2013, ISBN 978-0-8176-8391-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8391-7
http://dx.doi.org/10.1007/978-0-8176-8391-7
Graphs and Cubes Sergei Ovchinnikov Springer, 2011, ISBN 978-1-4614-0797-3
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-0797-3
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http://dx.doi.org/10.1007/978-1-4614-0797-3
The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators Alexander Soifer Springer, 2009, ISBN 978-0-387-74642-5
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-74642-5
http://dx.doi.org/10.1007/978-0-387-74642-5
Thirty Essays on Geometric Graph Theory Janos Pach (Editor) Springer, 2013, ISBN 978-1-4614-01110-0
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-0110-0
http://dx.doi.org/10.1007/978-1-4614-0110-0
The Four-Color Theorem: History, Topological Foundations, and Idea of Proof Rudolf Fritsch and Gerda Fritsch Springer, 1998, ISBN 978-1-4612-1720-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-1720-6
http://dx.doi.org/10.1007/978-1-4612-1720-6
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=============== Shelf1400: Logic and Set Theory ================ forallx: Cambridge 2014-2015 (with a complete solutions booklet) P.D. Magnus; modified by Tim Button for Cambridge and Metatheory for truth-functional logic Tim Button
http://people.ds.cam.ac.uk/tecb2/logicebooks.shtml Tim Buttons Home Page
http://people.ds.cam.ac.uk/tecb2/index.shtml
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forallx: An Introduction to Formal Logic P.D. Magnus
http://www.fecundity.com/logic/
Propositional and Predicate Calculus: A Model of Argument Derek Goldrei Springer, 2005, ISBN 978-1-84628-229-4 http://dx.doi.org.databases.poly.edu/10.1007/1-84628-229-2
http://dx.doi.org/10.1007/1-84628-229-2
Logic and Structure, Fifth Edition Dirk van Dalen Springer, 2013, ISBN 978-1-4471-4558-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4558-5
http://dx.doi.org/10.1007/978-1-4471-4558-5
Elements of Logical Reasoning Jan Von Plato Cambridge University Press, 2013, ISBN 97851139567862
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139567862
http://dx.doi.org/10.1017/CBO9781139567862
Lectures in Logic and Set Theory, Volume 1: Mathematical Logic George Tourlakis Cambridge University Press, 2003, ISBN 9780511615559
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511615559
http://dx.doi.org/10.1017/CBO9780511615559
Lectures in Logic and Set Theory, Volume 2: Set Theory George Tourlakis Cambridge University Press, 2003, ISBN 9780511615566
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511615566
http://dx.doi.org/10.1017/CBO9780511615566 Mathematical Logic George Tourlakis Wiley, 2008, ISBN 9781118032436
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http://dx.doi.org.databases.poly.edu/10.1002/9781118032435
http://dx.doi.org/10.1002/9781118032435 A Course in Mathematical Logic for Mathematicians Yu. I. Manin Springer, 2010, ISBN 978-1-4419-0615-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-0615-1
http://dx.doi.org/10.1007/978-1-4419-0615-1
Proofs and Computations Helmut Schwichtenberg and Stanley S. Wainer Cambridge University Press, 2012, ISBN 9781139031905 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139031905
http://dx.doi.org/10.1017/CBO9781139031905
Introduction to Mathematical Logic Vilnis Detlovs and Karlis Podnieks http://www.ltn.lv/~podnieks/mlog/ml.htm
What is Mathematics: Godels Theorem and Around Karlis Podnieks
http://www.ltn.lv/~podnieks/gt.html Website
http://www.ltn.lv/~podnieks/
Computability and Logic, Fifth Edition George S. Boolos, John P. Burgess, and Richard C. Jeffrey Cambridge University Press, 2007, ISBN 9780511804076 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511804076
http://dx.doi.org/10.1017/CBO9780511804076
The Completeness Theorem of Godel: 1. An Introduction to Mathematical Logic S. M. Srivastava Pages 29-31 Resonance, Volume 6, Number 7 (July 2001) http://dx.doi.org.databases.poly.edu/10.1007/BF02835268
http://dx.doi.org/10.1007/BF02835268
The Completeness Theorem of Godel: 2. Henkins Proof for First Order Logic
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S. M. Srivastava Pages 60-71 Resonance, Volume 6, Number 8 (August 2001)
http://dx.doi.org.databases.poly.edu/10.1007/BF02902516
http://dx.doi.org/10.1007/BF02902516 Godels Proof: 1. An Introduction to Mathematical Logic S M Srivastava Pages 59-70 Resonance, Volume 12, Number 2 (February 2007) http://dx.doi.org.databases.poly.edu/10.1007/s12045-007-0028-z
http://dx.doi.org/10.1007/s12045-007-0028-z
Godels Proof: 2. Semantics of First order Theory and Hilberts program S M Srivastava Pages 35-46 Resonance, Volume 12, Number 3 (March 2007)
http://dx.doi.org.databases.poly.edu/10.1007/s12045-007-0018-1
http://dx.doi.org/10.1007/s12045-007-0018-1
Godels Proof: 3. Incompleteness Theorems S M Srivastava Pages 71-84 Resonance, Volume 12, Number 5 (May 2007)
http://dx.doi.org.databases.poly.edu/10.1007/s12045-007-0052-z
http://dx.doi.org/10.1007/s12045-007-0052-z
An Introduction to Godels Theorems, Second edition Peter Smith Cambridge University Press, 2013, ISBN 9781139149105
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139149105
http://dx.doi.org/10.1017/CBO9781139149105 The Mathematics of Logic: A guide to completeness theorems and their applications Richard Kaye Cambridge University Press, 2007, ISBN 9780511619243 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511619243
http://dx.doi.org/10.1017/CBO9780511619243
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Formal Languages in Logic: A Philosophical and Cognitive Analysis Catarina Dutilh Novaes Cambridge University Press, 2012, ISBN 9781139108010 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139108010
http://dx.doi.org/10.1017/CBO9781139108010
Set Theory: Exploring Independence and Truth Ralf Schindler Springer, 2014, ISBN 978-3-319-06725-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06725-4
http://dx.doi.org/10.1007/978-3-319-06725-4
The Joy of Sets: Fundamentals of Contemporary Set Theory, Second Edition Keith Devlin Springer, 1993, ISBN 978-1-4612-0903-4
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-0903-4
http://dx.doi.org/10.1007/978-1-4612-0903-4
In Search of Infinity N. Ya. Vilenkin Springer, 1995, ISBN 978-1-4612-0837-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-0837-2
http://dx.doi.org/10.1007/978-1-4612-0837-2
The Mathematics of Infinity: A Guide to Great Ideas, Second Edition Theodore G. Faticoni Wiley, 2012, ISBN 9781118243879 http://dx.doi.org.databases.poly.edu/10.1002/9781118243879
http://dx.doi.org/10.1002/9781118243879
Sets for Mathematics F. William Lawvere and Robert Rosebrugh Cambridge University Press, 2003, ISBN 9780511755460 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755460
http://dx.doi.org/10.1017/CBO9780511755460
Ordered Sets: An Introduction
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Bernd S. W. Schroder Springer, 2003, ISBN 978-1-4612-0053-6
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-0053-6
http://dx.doi.org/10.1007/978-1-4612-0053-6 Classical Descriptive Set Theory Alexander S. Kechris Springer, 1995, ISBN 978-1-4612-4190-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4190-4
http://dx.doi.org/10.1007/978-1-4612-4190-4
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics Jose Ferreiros Springer, 2007, ISBN 978-3-7643-8350-3
http://dx.doi.org.databases.poly.edu/10.1007/978-3-7643-8350-3
http://dx.doi.org/10.1007/978-3-7643-8350-3
The Elements of Cantor Sets With Applications Robert W. Vallin Wiley, 2013, ISBN 9781118405710
http://dx.doi.org.databases.poly.edu/10.1002/9781118548745
http://dx.doi.org/10.1002/9781118548745
The Logical Status of Diagrams Sun-Joo Shin Cambridge University Press, 1995, ISBN 9780511574696
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511574696
http://dx.doi.org/10.1017/CBO9780511574696 Visual Reasoning with Diagrams Amiouche Moktefi and Sun-Joo Shin (Editors) Springer, 2013, ISBN 978-3-0348-0600-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0600-8
http://dx.doi.org/10.1007/978-3-0348-0600-8
Principia Mathematica to *56
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Alfred North Whitehead and Bertrand Russell Cambridge University Press, 1997, ISBN 9780511623585
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511623585
http://dx.doi.org/10.1017/CBO9780511623585 The Evolution of Principia Mathematica: Bertrand Russells Manuscripts and Notes for the Second Edition Bernard Linsky Cambridge University Press, 2011, ISBN 9780511760181 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511760181
http://dx.doi.org/10.1017/CBO9780511760181
A Course in Model Theory Katrin Tent and Martin Ziegler Cambridge University Press, 2012, ISBN 9781139015417
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139015417
http://dx.doi.org/10.1017/CBO9781139015417
Practical Foundations for Programming Languages Robert Harper Cambridge University Press, 2013, ISBN 9781139342131
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139342131
http://dx.doi.org/10.1017/CBO9781139342131
Apartness and Uniformity: A Constructive Development Douglas S. Bridges and Luminita Vita Springer, 2011, ISBN 978-3-642-22415-7
http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-22415-7
http://dx.doi.org/10.1007/978-3-642-22415-7 Elementary Set Theory with a Universal Set Randall Holmes
http://math.boisestate.edu/~holmes/holmes/head.pdf Randall Holmess Home Page
http://math.boisestate.edu/~holmes/
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===== Shelf1500: Thoughts, Ideas, Opinions, Surveys, and Blogs =====
Math Trek Blog http://www.sciencenews.org/view/items/id/2/name/Math_Trek
Science News Magazine http://www.sciencenews.org/
Discrete Thoughts: Essays on Mathematics, Science, and Philosophy Mark Kac, Gian-Carlo Rota, and Jacob T. Schwartz Springer, 2008, ISBN 978-0-8176-4775-9
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4775-9
http://dx.doi.org/10.1007/978-0-8176-4775-9
Indiscrete Thoughts Gian-Carlo Rota Springer, 2008, ISBN 978-0-8176-4781-0 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4781-0
http://dx.doi.org/10.1007/978-0-8176-4781-0
The Mathematics of Paul Erdos I, Second Edition Ronald L. Graham, Jaroslav Nesetril, and Steve Butler (Editors) Springer, 2013, ISBN 978-1-4614-7258-2
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7258-2
http://dx.doi.org/10.1007/978-1-4614-7258-2
The Mathematics of Paul Erdos II, Second Edition Ronald L. Graham, Jaroslav Nesetril, and Steve Butler (Editors) Springer, 2013, ISBN 978-1-4614-7254-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7254-4
http://dx.doi.org/10.1007/978-1-4614-7254-4
The Crossing of Heaven: Memoirs of a Mathematician Karl Gustafson
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Springer, 2012, ISBN 978-3-642-22558-1 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-22558-1
http://dx.doi.org/10.1007/978-3-642-22558-1
A Mathematician Reflects on the Useful and Reliable Illusion of Reality in Mathematics Keith Devlin Pages 359-379 Erkenntnis, Volume 68, Number 3 (May 2008) http://dx.doi.org.databases.poly.edu/10.1007/s10670-008-9105-2
http://dx.doi.org/10.1007/s10670-008-9105-2
Mathematics The Music of Reason Jean Diedonne Springer, 1992, ISBN 978-3-662-35358-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-662-35358-5
http://dx.doi.org/10.1007/978-3-662-35358-5
Mathematics: Queen and Servant of the Sciences Michael Atiyah Proceedings of the American Philosophical Society Volume 137, Number 4 (December 1993) Pages 527-531
http://www.jstor.org.databases.poly.edu/stable/pdfplus/987071.pdf?acceptTC=true
http://www.jstor.org/stable/pdfplus/987071.pdf?acceptTC=true&
MATHKNOW: Mathematics, Applied Sciences and Real Life Michele Emmer and Alfio Quarteroni (Editors) Springer, 2009, ISBN 978-88-470-1122-9
http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-1122-9
http://dx.doi.org/10.1007/978-88-470-1122-9
The Mathematician as a Type William Story
http://aleph0.clarku.edu/~djoyce/story/MathAsType.html
William Edward Story - Biography
http://www.gap-system.org/~history/Biographies/Story.html
David E. Joyce, Professor of Mathematics and Computer Science, Clark University
http://aleph0.clarku.edu/~djoyce/
Truth as a Value and Duty: Lessons of Mathematics Pages 37-49
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**** Includes a question and answer period **** Yuri Manin
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http://dx.doi.org/10.1007/978-1-4020-9896-3_3
Truth in Science, the Humanities, and Religion: Balzan Symposium 2008 M.E.H. Nicolette Mout and Werner Stauffacher (Editors) Springer, 2010, ISBN 978-1-4020-9896-3
http://dx.doi.org.databases.poly.edu/10.1007/978-1-4020-9896-3
http://dx.doi.org/10.1007/978-1-4020-9896-3
Georg Cantor and his heritage Yuri I. Manin arXiv.org > math > arXiv:math/0209244
http://arxiv.org/abs/math/0209244
Mathematical knowledge: internal, social and cultural aspects Yu. I. Manin arXiv.org > math > arXiv:math/0703427v1
http://arxiv.org/abs/math/0703427v1
Comments on a recent item by Yu I Manin Elemer E Rosinger arXiv.org > math > arXiv:math/0703547
http://arxiv.org/abs/math/0703547
The Mathematical Truth Enrico Bombiery, Institute for Advanced Study Slides of a lecture at Swiss Federal Institute of Technology; November 24, 2008
http://www.math.ethz.ch/news_events/bombieri_math_truth.pdf
Mathematics, Matter and Method, Philosophical Papers, Volume I, Second Edition Hilary Putnam Cambridge University Press, 1979, ISBN 9780511625268
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511625268
http://dx.doi.org/10.1017/CBO9780511625268
Unfashionable Pursuits Pages 47-54 Freeman J. Dyson The Mathematical Intelligencer, Volume 5, Number 3 (September 1983)
http://dx.doi.org.databases.poly.edu/10.1007/BF03026573
http://dx.doi.org/10.1007/BF03026573
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Birds and Frogs Freeman Dyson Notices of the AMS, Volume 56, Number 2 (February 2009) Pages 212-223
http://www.ams.org/notices/200902/rtx090200212p.pdf
Wikipedia: http://en.wikipedia.org/wiki/Freeman_Dyson
A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today Frank Quinn Notices of the AMS, Volume 59, Number 1 (January 2012) Pages 31-37
http://www.ams.org/notices/201201/rtx120100031p.pdf
Encounters with Science: Dialogues in Five Parts Pages 295-376 Lars Garding
http://dx.doi.org.databases.poly.edu/10.1007/3-540-30434-7_14
http://dx.doi.org/10.1007/3-540-30434-7_14
Perspectives in Analysis: Essays in Honor of Lennart Carlesons 75th Birthday Michael Benedicks, Peter W. Jones, Stanislaw Smirnov and Bjorn Winckler (Editors) Springer, 2005, ISBN 978-3-540-30434-0
http://dx.doi.org.databases.poly.edu/10.1007/3-540-30434-7
http://dx.doi.org/10.1007/3-540-30434-7
The Hilbert-Brouwer controversy resolved? Pages 243-256 Per Martin-Lof
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http://dx.doi.org/10.1007/978-3-7643-8653-5_15
One Hundred years of Intuitionism (1907-2007) - The Cerisy Conference Mark van Atten, et al. (Editors) Springer, 2008, ISBN 978-3-7643-8653-5
http://dx.doi.org.databases.poly.edu/10.1007/978-3-7643-8653-5
http://dx.doi.org/10.1007/978-3-7643-8653-5
18 Unconventional Essays on the Nature of Mathematics Reuben Hersh (Editor) Springer, 2006, ISBN 978-0-387-29831-3
http://dx.doi.org.databases.poly.edu/10.1007/0-387-29831-2
http://dx.doi.org/10.1007/0-387-29831-2
The Two Cultures of Mathematics
http://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf
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When are two proofs essentially the same?
http://gowers.wordpress.com/2007/10/04/when-are-two-proofs-essentially-the-same/
Prof. W.T. Gowers, FRS, Royal Society 2010 Anniversary Research Professor Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
http://www.dpmms.cam.ac.uk/people/w.t.gowers/
Weblog
http://gowers.wordpress.com/
Mathematical Events of the Twentieth Century **** The Russian perspective **** A.A. Bolibruch, Yu. S.Osipov, and Ya. G. Sinai (Editors) Springer, 2006, ISBN 978-3-540-23235-3
http://www.springerlink.com.databases.poly.edu/content/978-3-540-23235-3/contents/
http://www.springerlink.com/content/978-3-540-23235-3/contents/
Contemporary Debates on the Nature of Mathematics A.N. Kolmogorov, 1929
http://www.springerlink.com.databases.poly.edu/content/81v61n4754524245/fulltext.pdf
http://www.springerlink.com/content/81v61n4754524245/fulltext.pdf
Unified Foundations for Mathematics Mark Burgin arXiv:math/0403186v1
http://arxiv.org/abs/math/0403186
The Abel Prize: 2003-2007 The First five Years Helge Holden and Ragni Piene (Editors) Springer, 2010, ISBN 978-3-642-01372-0
http://www.springerlink.com.databases.poly.edu/content/978-3-642-01372-0/contents/
http://www.springerlink.com/content/978-3-642-01372-0/contents/
Proof, Computation and Agency - Logic at the Crossroads - First Indian Conference on Logic and its Relationship with Other Disciplines Johan van Benthem, Amitabha Gupta, and Rohit Parikh (Editors) Springer, 2011, ISBN 978-94-007-0079-6
http://www.springerlink.com.databases.poly.edu/content/978-94-007-0079-6/contents/
http://www.springerlink.com/content/978-94-007-0079-6/contents/
Computational Discovery in Pure Mathematics Simon Colton
http://www.springerlink.com.databases.poly.edu/content/k5kq2321l6036k79/
http://www.springerlink.com/content/k5kq2321l6036k79/
Computational Discovery
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Saso Dzeroski and Ljupco Todorovski (Editors) Springer, 2007, ISBN 978-3-540-73919-7, LNCS 4660
http://www.springerlink.com.databases.poly.edu/content/978-3-540-73919-7/contents/
http://www.springerlink.com/content/978-3-540-73919-7/contents/
Handbook of Mathematics, 5th Edition Ilja N. Bronshtein, Konstantin A. Semendyayev, Gerhard Musiol, and Heiner Muehlig Springer, 2007, ISBN 978-3-540-72121-5
http://www.springerlink.com.databases.poly.edu/content/978-3-540-72121-5/contents/
http://www.springerlink.com/content/978-3-540-72121-5/contents/
Risk and Reward: The Science of Casino Blackjack N. Richard Werthamer Springer, 2009, ISBN 978-1-4419-0252-8
http://www.springerlink.com.databases.poly.edu/content/978-1-4419-0252-8/contents/
http://www.springerlink.com/content/978-1-4419-0252-8/contents/
Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win Steven Skiena Cambridge University Press, 2001, ISBN 9780511547089
http://ebooks.cambridge.org.databases.poly.edu/ebook.jsf?bid=CBO9780511547089
http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511547089
Mixing Apples and Oranges: What Poetry and Applied Mathematics Have in Common Joel E. Cohen Proceedings of the American Philosophical Society, Volume 155, Number 2 (June 2011) pages 189-202
http://www.amphilsoc.org/sites/default/files/6Cohen1550206.pdf
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============== Shelf1600: History of Mathematics ============== Mathematical Encounters of the Second Kind Philip J. Davis Springer, 1997, ISBN 978-1-4612-2462-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-2462-4
http://dx.doi.org/10.1007/978-1-4612-2462-4
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Journey through Mathematics: Creative Episodes in Its History Enrique A. Gonzalez- Velasco Springer, 2011, ISBN 978-0-387-92154-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-92154-9
http://dx.doi.org/10.1007/978-0-387-92154-9
Mathematics and Its History John Stillwell Springer, 2010, ISBN 978-1-4419-6053-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-6053-5
http://dx.doi.org/10.1007/978-1-4419-6053-5
Geometry: Our Cultural Heritage, Second Edition Audun Holme Springer, 2010, ISBN 978-3-642-14441-7
http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-14441-7
http://dx.doi.org/10.1007/978-3-642-14441-7
Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century Jeremy Gray Springer, 2010, ISBN 978-0-85729-060-1
http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-060-1
http://dx.doi.org/10.1007/978-0-85729-060-1
Analysis by Its History E. Hairer and G. Wanner Springer, 2008, ISBN 978-0-387-77036-9
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77036-9
http://dx.doi.org/10.1007/978-0-387-77036-9 A History of Chinese Mathematics Jean-Claude Martzloff Springer, 2006, ISBN 978-3-540-33783-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-33783-6
http://dx.doi.org/10.1007/978-3-540-33783-6
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Throwing Some Light on the Vast Darkness that is Analysis: Niels Henrik Abels Critical Revision and the Concept of Absolute Convergence Pages 38-72 Henrik Kragh Sorensen
http://onlinelibrary.wiley.com.databases.poly.edu/doi/10.1111/j.1600-
0498.2009.00163.x/abstract
http://onlinelibrary.wiley.com/doi/10.1111/j.1600-0498.2009.00163.x/abstract
Centaurus An International Journal of the History of Science and Its Cultural Aspects, Volume 52, Issue 1 (February 2010)
http://onlinelibrary.wiley.com.databases.poly.edu/doi/10.1111/cnt.2010.52.issue-1/issuetoc
http://onlinelibrary.wiley.com/doi/10.1111/cnt.2010.52.issue-1/issuetoc
The Battle for Cantorian Set Theory Pages 221-241
http://www.springerlink.com.databases.poly.edu/content/np70675215772287/
http://www.springerlink.com/content/np70675215772287/
Joseph H. Dauben Hilbert and his Twenty-Four Problems Pages 243-295 Rudiger Thiele
http://www.springerlink.com.databases.poly.edu/content/w8kg0666281823nw/
http://www.springerlink.com/content/w8kg0666281823nw/
Mathematics and the Historians Craft The Kenneth O. May Lectures Glen Van Brummelen and Michael Kinyon (Editors) Springer, 2005, ISBN 978-0-387-25284-1
http://www.springerlink.com.databases.poly.edu/content/978-0-387-25284-1/contents/
http://www.springerlink.com/content/978-0-387-25284-1/contents/
A History of the Central Limit Theorem: From Classical to Modern Probability Theory Hans Fischer Springer, 2011, ISBN 978-0-387-87856-0
http://www.springerlink.com.databases.poly.edu/content/978-0-387-87856-0/contents/
http://www.springerlink.com/content/978-0-387-87856-0/contents/
A History of Algebra: From al-Khwarizmi to Emmy Noether B.L. van der Waerden Springer, 1985, ISBN 978-3-642-51599-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-51599-6
http://dx.doi.org/10.1007/978-3-642-51599-6
Science Awakening I B.L. van der Waerden Springer, 1988, ISBN 978-94-009-1379-0 http://dx.doi.org.databases.poly.edu/10.1007/978-94-009-1379-0
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http://dx.doi.org/10.1007/978-94-009-1379-0
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=========== Shelf1700: Mathematics and Technology ============ Mathematics and Technology Christiane Rousseau and Yvan Saint-Aubin Springer, 2008, ISBN 978-0-387-69216-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-69216-6
http://dx.doi.org/10.1007/978-0-387-69216-6
Modeling and Simulation: An Application-Oriented Introduction Hans Joachim Bungartz, Stefan Zimmer, Martin Bucholz, and Dirk Pfluger Springer, 2014, ISBN 978-3-642-39524-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-39524-6
http://dx.doi.org/10.1007/978-3-642-39524-6
Its a Nonlinear World Richard H. Enns Springer, 2011, ISBN 978-0-387-75340-9
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http://dx.doi.org/10.1007/978-0-387-75340-9
The Mathematics of Medical Imaging: A Beginners Guide Timothy G. Freeman Springer, 2010, ISBN 978-0-387-92712-1
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-92712-1
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============= Shelf1800: Probability and Statistics ==============
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Understanding Probability, Third Edition Henk Tijms Cambridge University Press, 2012, ISBN 9781139206990
http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139206990
http://dx.doi.org/10.1017/CBO9781139206990
Chance Rules: An Informal Guide to Probability, Risk and Statistics, Second Edition Brian Everitt Springer, 2008, ISBN 978-0-387-77415-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77415-2
http://dx.doi.org/10.1007/978-0-387-77415-2
Probabilities: The Little Numbers that Rule Our Lives Peter Olofsson Wiley, 2007, ISBN 9780470099797 http://dx.doi.org.databases.poly.edu/10.1002/0470099798
http://dx.doi.org/10.1002/0470099798
Subjective Probability: The Real Thing Richard Jeffrey Cambridge University Press, 2004, ISBN 9780511816161
http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511816161
http://dx.doi.org/10.1017/CBO9780511816161
Basic Probability Theory with Applications Mario Lefebvre Springer, 2009, ISBN 978-0-387-74995-2
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-74995-2
http://dx.doi.org/10.1007/978-0-387-74995-2
40 Puzzles and Problems in Probability and Mathematical Statistics Wolfgang Schwarz Springer, 2008, ISBN 978-0-387-73512-2
http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-73512-2
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http://dx.doi.org/10.1007/978-0-387-73512-2
Elementary Probability, 2nd Edition David Stirzaker Cambridge University Press, 2003, ISBN 9780511755309 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755309
http://dx.doi.org/10.1017/CBO9780511755309
Introduction to Probability, Second Edition George G. Roussas Elsevier, 2014, ISBN 978-0-12-800041-0
http://www.sciencedirect.com.databases.poly.edu/science/book/978012800041
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http://www.sciencedirect.com/science/book/9780128000410
An introduction to Measure-Theoretic Probability, Second edition George G. Roussas Elsevier, 2014, ISBN 978-0-12-800042-7 http://www.sciencedirect.com.databases.poly.edu/science/book/978012800042
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http://www.sciencedirect.com/science/book/9780128000427
Probability and Random Variables: A Beginners Guide David Stirzaker Cambridge University Press, 1999, ISBN 9780511813627 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511813627
http://dx.doi.org/10.1017/CBO9780511813627
Analysis and Probability Aurel Spataru Elsevier, 2013, ISBN 978-0-12-401665-1
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http://www.sciencedirect.com/science/book/9780124016651
Probability Theory: A Comprehensive Course, Second Edition Achim Klenke
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Springer, 2014, ISBN 978-1-4471-5361-0 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-5361-0
http://dx.doi.org/10.1007/978-1-4471-5361-0
The Theory of Probability Santosh S. Venkatesh Cambridge University Press, 2013, ISBN 9781139169325
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http://dx.doi.org/10.1017/CBO9781139169325
A Probability Path Sidney I. Resnick Springer, 2014, ISBN 978-0-8176-8409-9
http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8409-9
http://dx.doi.org/10.1007/978-0-8176-8409-9
Fundamentals of Applied Probability and Random Processes, 2nd Edition Oliver C. Ibe Elsevier, 2014, ISBN 978-0-12-800852-2
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http://www.sciencedirect.com/science/book/9780128008522
Exercises in Probability: A Guided Tour from Measure Theory to Random Processes, via Conditioning, Second Edition Loic Chaumont and Marc Yor Cambridge University Press, 2012, ISBN 9781139135351 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139135351
http://dx.doi.org/10.1017/CBO9781139135351
A Treatise on Probability John Maynard Keynes http://www.archive.org/details/treatiseonprobab007528mbp
Fundamentals of Probability: A First Course Anirban DasGupta Springer, 2010, ISBN 978-1-4419-5780-1
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http://dx.doi.org/10.1007/978-1-4419-5780-1 Introduction to Probability Models, Eleventh Edition Sheldon M. Ross Elsevier, 2014, ISBN 978-0-12-407948-9 http://www.sciencedirect.com.databases.poly.edu/science/book/978012407948
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http://www.sciencedirect.com/science/book/9780124079489 A Modern Introduction to Probability and Statistics: Understanding Why an