Literature - Springer978-3-0348-9173-8/1.pdf · Literature Here HMH denotes the journal HcmopuK:...

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Literature Here HMH denotes the journal HcmopuK:o-MameMamu"iecK:ue HCCAea08a'J-lilkH ( Historico-Mathematical Research). Articles in journals bearing a Russian name are in Russian; the titles of the articles are translated in this bibliography. General Works Ball, W. W. Rouse. A Short Account of the History of Mathematics, 4th ed. (1908); reprint New York 1960. Bell, E. T. The Development of Mathematics, 2nd ed. New York-London 1945. Bell, E. T. Men of Mathematics. New York 1962. (Among others, biographies of Monge, Poncelet, Gauss, Cauchy, Lobachevskil, Jacobi, Hamilton, Weier- strass, Riemann, and Poincare). Bourbaki, N., Elements d'histoire des matMmatiques. Paris 1984. Boyer, C. B. A History of Mathematics. New York 1968. Cajori, F. A History of Mathematical Notations, Vols. 1-2. London 1928-1929. Dieudonne, J., ed. Abrege d'histoire des matMmatiques. 1700-1900, T. 1-2. Paris 1978. Enzyklopiidie der mathematischen Wissenschaften und ihrer Anwendungen, 2. Aufi., Bd. 1-6. Leipzig 1898-1934, 1952-1968. Gillispie, Ch. C., ed. Dictionary of Scientific Biography, Vols. 1-15. New York 1970-1976. History of Mathematics in the Countries of the Soviet Union [in Russian], T. 1-4. Kiev 1966-1970. Klein, F. Vorlesungen iiber die Geschichte der Mathematik im 19. Jahrhundert. New York 1956. Kline, M. Mathematical Thought from Ancient to Modern Times. New York 1972. Loria, G. Storia delle matematiche dall' alba civilita al tramonto del secolo XIX. Milano 1950. Mathematics, its Contents, Methods, and Meaning, T. 1-3. Providence, 1963.

Transcript of Literature - Springer978-3-0348-9173-8/1.pdf · Literature Here HMH denotes the journal HcmopuK:...

Literature

Here HMH denotes the journal HcmopuK:o-MameMamu"iecK:ue HCCAea08a'J-lilkH ( Historico- Mathematical Research). Articles in journals bearing a Russian name are in Russian; the titles of the articles are translated in this bibliography.

General Works

Ball, W. W. Rouse. A Short Account of the History of Mathematics, 4th ed. (1908); reprint New York 1960.

Bell, E. T. The Development of Mathematics, 2nd ed. New York-London 1945.

Bell, E. T. Men of Mathematics. New York 1962. (Among others, biographies of Monge, Poncelet, Gauss, Cauchy, Lobachevskil, Jacobi, Hamilton, Weier­strass, Riemann, and Poincare).

Bourbaki, N., Elements d'histoire des matMmatiques. Paris 1984.

Boyer, C. B. A History of Mathematics. New York 1968.

Cajori, F. A History of Mathematical Notations, Vols. 1-2. London 1928-1929.

Dieudonne, J., ed. Abrege d'histoire des matMmatiques. 1700-1900, T. 1-2. Paris 1978.

Enzyklopiidie der mathematischen Wissenschaften und ihrer Anwendungen, 2. Aufi., Bd. 1-6. Leipzig 1898-1934, 1952-1968.

Gillispie, Ch. C., ed. Dictionary of Scientific Biography, Vols. 1-15. New York 1970-1976.

History of Mathematics in the Countries of the Soviet Union [in Russian], T. 1-4. Kiev 1966-1970.

Klein, F. Vorlesungen iiber die Geschichte der Mathematik im 19. Jahrhundert. New York 1956.

Kline, M. Mathematical Thought from Ancient to Modern Times. New York 1972.

Loria, G. Storia delle matematiche dall' alba civilita al tramonto del secolo XIX. Milano 1950.

Mathematics, its Contents, Methods, and Meaning, T. 1-3. Providence, 1963.

274 Literature

May, K. O. Bibliography and Research Manual of the History of Mathematics, Toronto-Buffalo 1973.

Rybnikov, K. A. History of Mathematics [in Russian], 2nd ed. Moscow 1974.

Scienziati e technologi contemporei, Vol. 1-3. Milano 1974-1976.

Scienziati e technologi dalla origini a11875, Vol. 1-3. Milano 1975-1976.

Wieleitner, H., Geschichte der Mathematik, Bd. 2. Berlin 1939.

Wussing, H., Arnold, W. Biographien bedeutender Mathematiker, Berlin 1975. (Among others biographies of Lagrange, Monge, Laplace, Gauss, Bolzano, Cauchy, Mobius, Lobachevskil, Abel, Jacobi, Galois, Weierstrass, Chebyshev, Kronecker, Riemann, Cantor, Klein, Kovalevskaya, Hilbert, and E. Noether).

Yanovskaya, S. A. Methodological Problems of Science [in Russian], Moscow 1972.

Yushkevich, A. P., ed. Chrestomathy of the History of Mathematics [in Russian], T. 1-2, Moscow 1976-1977.

Yushkevich, A. P. History of Mathematics in Russia up to 1917 [in Russian], Moscow 1968.

Collected Works and Other Original Sources

Abel, N. H. (Buvres completes, T. 1-2. Christiania 1881.

Argand, J. R. Essai sur une maniere de repn£senter les quantites imaginaires dans les constructions geometriques, 2. ed. Paris 1874.

Beltrami, E. Opere matematiche, Vol. 1-4. Milano 1902-1910.

Betti, E. Opere matematiche, Vol. 1-2. Milano 1903-1914.

Betti, E. "La teorica delle funzioni ellitiche," Torlolini Annalici, III (1860), 65-159, 298-310.

B6lyai, J. "Appendix" in: Geometrische Untersuchungen by F. B6lyai. Leipzig­Berlin 1913.

Borel, E. Le90ns sur les fonctions entieres. Paris 1900.

Borel, E. "Sur quelques points de la theorie des fonctions," Ann. Ec. Norm. Sup., Ser. 3, 12 (1895), 9-55.

Briot, C., Bouquet, J. "Etude des fonctions d'une variable imaginaire," J. Ec. Polyt., 21 (1856), 85-131.

Briot, C., Bouquet, J. The-orie des fonctions doublement periodiques et, en parti-culier, des fonctions elliptiques. Paris 1859.

Briot, C., Bouquet, J. The-orie des fonctions elliptiques. Paris 1875.

Casorati, F. Teorica delle funzioni di variabili complesse. Pavia 1868.

Casorati, F. Opere. Roma 1951.

Cauchy, A.-L. Cours d'analyse de I' Ecole Poly technique. Premiere partie. Analyse algebrique. in: (Buvres, ser. 2, T. 3.

Collected Works and Other Original Sources 275

Cauchy, A.-L. Ler;ons de calcul differential et de calcul integral. Paris 1840-1861. (Edited by Abbe Moigno.)

Cauchy, A.-L. (Euvres completes, T. 1-27 (2. ser.). Paris 1882-1974.

Cayley, A. Collected Mathematical Papers, Vols. 1-14. Cambridge 1889-1898.

Chasles, M. Aperr;u historique sur l'origine et le developpement des methodes en geometrie, particulierement de celles qui se rapportent Ii la geometrie mod­erne, suivi d 'un memoire de geometrie sur deux principes generaux de la science, la dualite et l'homographie, 2. ed. Paris 1875.

Chasles, M. Traite de geometrie superieure, Paris 1852.

Chebyshev, P. L. Collected Works [in Russian], T. 1-5. Moscow-Leningrad 1944-1951.

Christoffel, E. B. Gesammelte mathematische Abhandlungen. Leipzig-Berlin 1910.

Clebsch, A., Lindemann, F. Vorlesungen iiber Geometrie, Bd. 1-2. Leipzig 1875-1876.

Clifford, W. K. The Common Sense of the Exact Sciences. New York 1885.

Clifford, W. K. Lectures and Essays, Vols. 1-2. London 1901.

Clifford, W. K. Mathematical Papers, London 1882; reprint New York 1968.

Cremona, L. Sulle trasformazioni geometriche delle figure plane. Bologna 1863.

Darboux, G. Sur une classe remarquable de courbes algebriques et sur la theorie des imaginaires. Bordeaux 1873.

Darboux, G. Ler;ons sur la theorie generale des surfaces et les applications geome-triques du calcul infinitesimal, 2 ed., T. 1-4. Paris 1914-1925.

Dupin, C. Developpement de geometrie. Paris 1813.

Dupin, C. Applications de geometrie et de mecanique. Paris 1822.

Durege, H. Elemente der Theorie der Funktionen einer complexen veriinderlichen Grosse, mit besonderer Beriicksichtigung der Schopfungen Riemanns bear­beitet. Leipzig 1864.

Eisenstein, F. G. M. Mathematische Abhandlungen. Berlin 1874.

Euler, L. Introductio in analysin infinitorum. Lausannae 1748.

Fuchs, L. Gesammelte mathematische Werke, Bd. 1-3. Berlin 1904-1908.

Gauss, C. F. Werke, Bd. 1-12. Gottingen 1863-1929. Reprint Hildesheim-New York 1973.

Gauss, C. F. Disquisitiones Arithmeticae. Gottingae 1801; in: Werke, Bd. 1. Got­tingen 1863.

Gopel, A. "Entwurf einer Theorie der Abel'schen Transcendenten erster Ordnung," in: Ostwalds Klassiker der exakten Wissenschaften, No. 67. Leipzig 1895.

Grassmann, H. Gesammelte mathematische und physikalische Werke, Bd. 1-3. Leipzig 1894-1911.

276 Literature

Hadamard, J. "Etude sur les fonctions enW~res et en particulier d'une fonction consideree par Riemann," J. math. pures et appl., ser. 4, 9 (1893), 170-215.

Hamilton, W. R. Elements of Quaternions. New York 1969.

Hamilton, W. R. Lectures on Quaternions. Dublin 1853.

Hamilton, W. R. The Mathematical Papers, Vols. 1-3. Cambridge 1931-1967.

Harnack, A. Die Grundlagen der Theorie des logarithmischen Potentials und der eindeutigen Potentialfunktion in der Ebene. Leipzig 1887.

Helmholtz, H. Wissenschajtliche Abhandlungen, Bd. 1-3, Leipzig 1887.

Hilbert, D. Grundlagen der Geometrie. Leipzig 1903.

Holtzmiiller, H. Einfuhrung in die Theorie der isogonalen Verwandtschajt und der konformen Abbildungen mit Anwendung auf mathematische Physik. Leipzig 1882.

Jacobi, C. G. J. Gesammelte Werke, Bd. 1-7. Berlin 1881-1891.

Jordan, C. Traite d'analyse de l'Ecole Poly technique, 3 ed., T. 1-3. Paris 1909-1915.

Jordan, C. Traite des substitutions et des equations algebriques, Paris 1870; Nou-veau tirage, Paris 1957.

Jordan, C. (Buvres, T. 1-4, Paris 1961-1964.

Klein, F. Gesammelte mathematische Abhandlungen, Bd. 1-3. Berlin 1921-1923.

Klein, F. Vorlesungen uber das Ikosaeder und die Auflosung der Gleichungen von funjten Grades. Leipzig 1884.

Klein, F. Vorlesungen uber hohere Geometrie, 3. Aufl. bearb. und hrsg. von W. Blaschke. New York 1949.

Klein, F. Vorlesungen uber Nicht-euklidische Geometrie. New York 1960.

Kotel'nikov, A. P. The Cross-product Calculus and Certain of its Applications to Geometry and Mechanics [in Russian]. Kazan' 1895.

Kovalevskaya, S. V. Scientific Works [in Russian]. Moscow 1948.

Kummer, E. "Allgemeine Theorie der geradlinigen Strahlensysteme," J. fur reine und angew. Math., 35 (1874), 319-326.

Lagrange, J.-L. Theorie des fonctions analytiques contenant les principes du calcul differentiel degage de toute consideration d 'infiniment petits, d 'evanouissants, de limites, et de fluxions, et reduites a l 'analyse algebrique des quantites finis. Paris 1797; (Buvres. Paris 1881, T. 9, 1-428.

Laplace P.-S. (Buvres completes, T. 1-14. Paris 1878-1912.

L'Huilier, S. "Memoire sur les polyedrometries," Ann. math. pures et appl., 3 (1812-1813), 169-192.

Lie, S. Gesammelte Abhandlungen, Bd. 1-10. Leipzig-Oslo 1934-1960.

Liouville, J. Ler;ons sur les fonctions doublement periodiques (faites en 1847). Paris 1880.

Collected Works and Other Original Sources 277

Listing, J. B. "Der Census raumlicher Complexe, oder Verallgemeinerung des Eu­ler'schen Satzes von den Polyedern," Abh. Konigl. Ges. Wiss. Gottingen, 10 (1862),97-180.

Listing, J. B. Vorstudien zur Topologie. Gottingen 1848.

Lobachevskil, N. I. Complete Works [in Russian], T. 1-5. Moscow-Leningrad 1946-1951.

Lobachevskil, N. I. Scientific-pedagogical Legacy. Leadership of Kazan' University. Fragments. Letters [in Russian]. Moscow 1976.

Mobius, A. F. Gesammelte Werke, Bd. 1-4. Leipzig 1885-1887.

Monge, G. Application de l'analyse it la geometrie. Paris 1807.

Neumann, C. Vorlesungen iiber Riemann's Theorie der Abel'schen Integrale. Leip­zig 1865.

On the Foundations of Geometry. A Collection of Classic Works on the Geometry of Lobachevskiz and the Development of his Ideas [in Russian]. Moscow 1956. (Contains works of Lobachevskil, B6lyai, Gauss, Minding, Beltrami, Cayley, Klein, Poincare, Riemann, Helmholtz, Hilbert, V. F. Kagan, and Cartan.)

Peterson, C. Uber Curven und Fliichen. Moskau-Leipzig 1868.

Peterson, K. M., "On Bending of Surfaces," I1MI1,5 (1952), 87-133.

Picard, E. Traite d'analyse, T. 2. Paris 1893.

Plucker, J. Analytisch-geometrische Entwicklungen. Bd. 1-2. Essen 1821-1831.

Plucker, J. System der analytischen Geometrie. Berlin 1835.

Plucker, J. Theorie der algebraischen Curven. Bonn 1839.

Plucker, J. System der Geometrie des Raumes in neuer analytischer Behand­lungsweise. Bonn 1846.

Plucker, J. Neue Geometrie des Raumes, gegriindet auf Betrachtung der geraden Linie als Raumelement, Bd. 1-2. Leipzig 1868-1869.

Plucker, J. Gesammelte wissenschaftliche Abhandlungen, Bd. 1-2. Leipzig 1895-1896.

Poincare, H. (Euvres, T. 1-11. Paris 1928-1956.

Poisson, S. D. "Sur les integrales des fonctions qui passent par l'infini entre des limites de l'integration, et sur l'usage des imaginaires dans la determination des integrales definies," J. Ec. Polyt., 11 (1820), No. -8, 295-341.

Poncelet, J. V. Traite des proprietes projectives des figures. Paris 1822.

Poncelet, J. V. Applications d'analyse et de geometrie, qui ont servi, en 1822, de principal fondement au Traite des proprietes des figures, T. 1-2. Paris 1862-1864.

Puiseux, V. "Recherches sur les fonctions algebriques," J. math. pures et appl., 15 (1850), 365-480.

Riemann, B. Gesammelte mathematische Werke und wissenschaftlicher Nachlass, Berlin 1990.

278 Literature

Salmon, G. A Treatise on Conic Sections. Dublin 1848.

Salmon, G. A Treatise on the Analytic Geometry of Three Dimensions. Dublin 1862.

Salmon, G. Higher Plane Curves. Dublin 1862.

Schliifli, L. Gesammelte mathematische Abhandlungen, Bd. 1-2. Berlin 1902-1909.

Schubert, H. "Die n-dimensionalen Verallgemeinerungen der fundamentalen Ab-zahlen unseren Raumes," Math. Ann., 26 (1866), 26-51.

Schubert, H. Kalkiil der abziihlenden Geometrie, Leipzig 1879.

Schwarz, H. A. Gesammelte mathematische Abhandlungen. Bd. 1-2. Berlin 1890.

Sokhotskil, Yu. V. The Definite Integrals and Functions Used in Series Expansions [in Russian]. St. Petersburg 1873.

Sokhotskil, Yu. V. Elements of the Greatest Common Divisor in Application to the Theory of Divisibility of Algebraic Numbers [in Russian]. St. Petersburg 1893.

Somov, O. 1. Foundations of the Theory of Elliptic Functions [in Russian]. St. Petersburg 1850.

Somov, O. 1. "On Higher-order Accelerations," 3an. A'K:ao. Hay'K:, 5 (1864), Ap­pendix No.5.

Somov, O. 1. "A direct method of expressing the first- and second-order differen­tial parameters and curvature of a surface in any coordinates, rectilinear or curvilinear," 3an. A'K:ao. Hay'K:, 8 (1865), Appendix No.4.

Staudt, Ch. von. Beitriige zur Geometrie der Lage, H. 1-3, Niirnberg 1856-1860.

Staudt, Ch. von. Geometrie der Lage, Niirnberg 1847.

Steiner, J. Gesammelte Werke, Bd. 1-2. Berlin 1881-1882.

Stieltjes, T. J. "Recherches sur les fractions continues," Memoires presentes par divers savants it l'Academie des Sciences (2e SeL), 32. Paris 1909.

Stieltjes, T. J. (Euvres completes, T. 1-2. Gr0ningen 1914-1918.

Study, E. Geometrie der Dynamen: Die Zusammensetzung von Kriiften und ver­wandte Gegenstiinde der Geometrie. Leipzig 1903.

Suvorov, F. M. On the Characterization of Three-dimensional Systems [in Rus­sian]. Kazan' 1871.

Tikhomandritskil, M. A. Inversion of Hyperelliptic Integrals [in Russian]. Khar'kov 1885.

Tikhomandritskil, M. A. Theory of Elliptic Integrals and Elliptic Functions [in Russian]. Khar'kov 1885.

Vyshnegradskil, 1. A. "On the Regularity of Direct Action," H38. Cn6. IIpa'K:m. Texu. Hucm., 1861.

Weierstrass, K. Abhandlungen aus der Funktionentheorie. Berlin 1894.

Weierstrass, K. Mathematische Werke, Bd. 1-7. Berlin 1894-1927.

Auxiliary Literature to Chapter 1 279

Wessel, K. "Om directionens analytiske betegning, et fors¢g, anvendt fornemm­ling til plane og sphaeriske polygoners opl¢sning," Nye samling af det Kong. Danske Vid. Selsk. Skr. Ser. 2, 5 (1799), 496-518.

Auxiliary Literature to Chapter 1

Bonola, R. Non-Euclidean Geometry; a Critical and Historical Study of its Devel-opment. New York 1955.

Boyer, C. G. A History of Analytic Geometry. New York 1956,

Coolidge, M. J. A History of Geometrical Methods. Oxford 1940.

Crowe, M. J. A History of Vector Analysis. The Evolution of the Idea of a Vectorial System. London 1967,

Depman, 1. Ya. "Karl Mikhailovich Peterson and his candidate dissertation," HMH,6 (1952), 134-164.

Efimov, N. V. Higher Geometry [in Russian]. Moscow-Leningrad 1946.

Engel, F. Urkunden zur Geschichte der nichteuklidischen Geometrie, Bd. 1-2. Leip­zig 1898-1913.

Galchenkova, R. 1., Lumiste, Yu. G., Ozhigova, E. P., Pogrebenskil, 1. B. Ferdinand Minding, 1806-1880 [in Russian]. Moscow 1970.

Gerasimova, V. 1. Index to the Literature on Lobachevski1:'s Geometry and the Development of his Ideas [in Russian]. Moscow 1952.

Kagan, V. F. Foundations of the Theory of Surfaces [in Russian], T. 1-2. Moscow­Leningrad 1947-1949.

Kagan, V. F. Lobachevskiz [in Russian], 2nd ed. Moscow-Leningrad 1948.

Kagan, V. F. Foundations of Geometry. A Study of the Foundations of Geometry in the Course of its Historical Development [in Russian], Pt. 1-2. Moscow 1949-1956.

Kagan, V. F. Essays on Geometry [in Russian]. Moscow 1963.

Khil'kevich, E. K. "From the history of the propagation and evolution of the ideas of N. 1. Lobachevskil in the 1860's and 1870's," HMH, 2 (1940), 168-230.

Kotter, E. "Die Entwicklung der synthetischen Geometrie," lahresber. Dtsch. Math.- Verein., 5 (1901), 1-486.

Kramar, F. D. "Vector calculus of the late eighteenth and early nineteenth cen­turies," HMH, 19 (1963), 225-290.

Kramar, F. D., Milyukov, 1. D. Iosef Ivanovich Somov {1815-1876}. Mathemati­cian, Mechanician, Pedagogue [in Russian]. Alma-Ata 1956.

Laptev, B. L. "Theory of parallel lines in the early work of N. I. Lobachevskil," HMH, 4 (1951), 201-229.

Loria, G. Curve piani speciali algebraiche e transcendenti. Teoria e storia, Vol. 1-2. Milan 1930.

Loria, G. Il passato e il presente delle principale teorie geometriche Milano 1931.

280 Literature

Modzalevski'l, L. B. Materials for a Biography of N. 1. Lobachevskiz [in Russian]. Moscow-Leningrad 1948.

Norden, A. P. "Gauss and Lobachevski'l," liMli,9 (1956), 145-168.

Norden, A. P. "Foundational questions of geometry in the work of N. 1. Lobachev­ski'l," liMli,11 (1958),97-132.

Olonichev, P. M. "The Kazan' geometer Fedor Matveevich Suvorov," liMli, 9 (1956), 271-316.

Pogorelov, A. B. Foundations of Geometry [in Russian]. Moscow 1979.

Pont, J. C. La topologie algebrique des origines a Poincare. Paris 1974.

Pringsheim, A. "Zur Geschichte des Taylorschen Lehrsatzes," Bibl. mat., Ser. 3, 1 (1900), 433-479.

Rashevskil, P. K. Riemannian Geometry and Tensor Analysis [in Russian], 3 ed. Moscow 1967.

Reich, K. "Die Geschichte der Differentialgeometrie von Gauss bis Riemann (1828-1868)," Arch. Hist. Exact Sci., 5 (1973), 273-372.

Rozenfel'd, B. A. History of Non-Euclidean Geometry [in Russian]. Moscow 1976.

Rozenfel'd, B. A. Multi-dimensional Spaces [in Russian]. Moscow 1966.

Rozenfel'd, B. A. Non-Euclidean Geometries [in Russian]. Moscow 1955.

Rozenfel'd, B. A. Non-Euclidean Spaces [in Russian]. Moscow 1969.

Rybkin, G. F. "Materialism was a fundamental characteristic of the world-view of N. 1. LobachevskiY," liMH, 3 (1950), 9-29.

Simon, M. Uber die Entwicklung der Elementar-Geometrie im XIX Jahrhundert. Leipzig 1906.

Sommerville, D. M. Y. Bibliography of Non-Euclidean Geometry. London 1911.

Stiickel, P., Engel, F. Die Theorie der Parallellinien von Euklid bis auf Gauss: Eine Urkundensammlung zur Vorgeschichte der nichteuklidischen Geometrie. Leipzig 1895.

Struik, D. An Essay on the History of Differential Geometry [in Russian]. Moscow­Leningrad 1941.

Taton, R. Gaspard Monge. Basel 1950.

Vizgin, V. P. "On the history of Klein's 'Erlanger Programm' ," HMH, 18 (1973), 218-248.

Auxiliary Literature to Chapter 2

Bachelard, S. La representation parametrique des quantites imaginaires au debut du XIX siixle. Paris 1966.

Bashmakova, 1. G. "On the proof of the fundamental theorem of algebra," HMH, 10 (1957), 257-304.

Belozerov, S. E. The Principal Stages of the Evolution of The General Theory of Analytic Functions [in Russian]. Rostov 1962.

Auxiliary Literature to Chapter 2 281

Biermann, K.-R. Die Mathematik und ihre Dozenten an der Berliner Universitiit, 1810-1920. Berlin 1968.

Bottazzini, U. "Riemann's Einfiuss auf E. Betti und F. Casorati," Arch. Hist. Exact Sci., 18 (1978), 27-37.

Briefwechsel zwischen Gauss und Bessel. Leipzig 1880.

Brill, A, Noether, M. "Die Entwicklung der Theorie der algebraischen Funktionen in iilterer und neuer Zeit," Jahresber. Dtsch. Math. Verein., 3 (1892-1893), 107-566.

Conforto, F. Abelsche Funktionen und algebraische Geometrie. Berlin 1956.

Dugac, P. "Elements d'analyse de Karl Weierstrass," Arch. Hist. Exact Sci., 10 (1973),41-176.

Enneper, A. Elliptische Funktionen: Theorie und Geschichte. Halle 1876.

Ermakov, V. P. Theory of Abelian Functions without Riemann Surfaces [in Rus­sian]. Kiev 1897.

Festschrift zur Gediichtnisfeier fur Karl Weierstrass. 1815-1965. Kaln 1966.

Hurwitz, A. Vorlesungen uber allgemeine Funktionentheorie und elliptische Funk­tionen. Berlin 1922.

Hurwitz, C. F. "Uber die Entwicklung der allgemeinen Theorie der analytischen Funktionen," in: Verhandlungen des ersten intern. Mathematiker-Kongr. in Zurich. Leipzig 1898, S. 91-112.

Jourdain, P. E. B. "The theory of functions with Cauchy and Gauss," Bibl. mat., Ser. 3, 6 (1905), 190-207.

Kochina, P. Ya. Briefe von Weierstrass an Sophie Kowalewskaja, 1871-1891, Moscow 1973.

Markushevich, A. 1. Elements of Analytic Function Theory [in Russian]. Moscow 1944.

Markushevich, A. 1. "Yu. V. Sokhotskil's contribution to the general theory of analytic functions," lfMlf, 3 (1950), 309-406.

Markushevich, A. 1. Essays on the History of Analytic Function Theory [in Rus­sian]. Moscow-Leningrad 1951.

Markushevich, A. 1. "Gauss' work on mathematical analysis," in: Karl Friedrich Gauss [in Russian]. Moscow 1956, pp. 146-216.

Markushevich, A. 1. "Fundamental Concepts of Mathematical Analysis and Theory of Functions in the Work of Euler," in: Leonhard Euler [in Russian]. Moscow 1958, pp. 98-132.

Markushevich, A. 1. Remarkable Sines [in Russian], 2 ed., Moscow 1975.

Markushevich, A. 1. Introduction to the Classical Theory of Abelian Functions [in Russian]. Moscow 1979.

Markushevich, A. 1. "Some questions in the history of analytic function theory," lfMlf, 23 (1980), 52-70.

282 Literature

Montferrier, A. S. de. Dictionnaire des sciences mathematiques pures et appliquees, T. 1-3. Paris 1836-1840.

Nalbandyan, M. B. "Analytic function theory and its applications in the work of Russian mathematicians of the nineteenth and early twentieth centuries," HMH, 17 (1966), 361-369.

Neuenschwander, E. "The Casorati-Weierstrass theorem," Hist. Math., 5 (1978), 139-166.

Petrova, S. S. "The Dirichlet principle in the work of Riemann," HMH, 16 (1965), 295-310.

Petrova, S. S. "On the Dirichlet principle," in: History and Methodology of the Natural Sciences [in Russian]. Moscow 1966, N 5, pp. 200-218.

Petrova, S. S. "From the history of analytic proofs of the fundamental theorem of algebra," in: History and Methodology of the Natural Sciences [in Russian]. Moscow 1973, N 14, pp. 167-172.

Pokrovskil, P. M. Historical Essay on the Theory of Ultra-elliptic and Abelian Functions [in Russian]. Moscow 1886.

Pontriagin, 1. S. Ordinary Differential Equations. Reading, MA 1962.

Pringsheim, A., Molk, J. "Principes fondamentaux de la theorie des fonctions," in: Encyclopedie des sciences matMmatiques, T. 2, vol. 1. Paris 1909, pp. 1-112.

Sokhotskil, Yu. V. Higher Algebra [in Russian]. St. Petersburg 1882.

Sokhotskil, Yu. V. Number Theory [in Russian]. St. Petersburg 1888.

Tikhomandritskil, M. A. "Karl Weierstrass," Co 06'111,. Xapb'X:. Mam. 06'111,. (2), 6 (1899), 35-56.

Timchenko, 1. Yu. "Foundations of analytic function theory. Pt. 1. Historical in­formation and development of the concepts and methods that underlie an­alytic function theory," 3an. Mam. OmdeJ!. HOBopoccul1c'X:. 06'111,. Ecmecm­BOUCnb~m., 12 (1892), 1-236; 16 (1896), 1-216, 257-472; 19 (1899), 1-183, 473-655. (Separate edition under the same name, Odessa 1899.)

Vashchenko-Zakharchenko, M. E. The Riemannian Theory of Functions of a Com­plex Variable [in Russian]. Kiev 1866.

Weil, A. Elliptic Functions According to Eisenstein and Kronecker. Berlin 1976.

Index of Names

Abel, Niels Henrik (1802-1829) 136, 148, 149, 154-157, 159, 160,167,173,174,176,204, 220, 233, 247, 260, 270

Abu'l Wefa, Muhammed al-Bujjani (940-998) 38

Aleksandrov, Aleksandr Danilovich (b. 1912) 67, 116

Aleksandrov, Pavel Sergeevich (1896-1982) 116

Alembert, Jean le Rond d' (1717-1783) 1, 121, 144, 199, 204, 206

Antropova, Varvara Ivanovna (b. 1924) 228

Appel, Paul Emile (1855-1930) 145, 257

Archimedes, (287-212 BCE) 46, 88 Argand, Jean Robert (1768-1822)

122, 124, 202 Aronhold, Siegfried Heinrich

(1819-1884) 44

Bachelier, Louis Jean-Baptiste Alphonse (1870-1946) 131,202

Bacon, Francis (1561-1626) 53 Ball, Walter William Rouse

(1850-1925) 172 Baltzer, Heinrich Richard

(1818-1887) 65 Banach, Stefan (1892-1945) 117

Bartels, Johann Martin Christian (1769-1836) 53

Bashmakova, Isabella Grigor'evna (b. 1921) 123

Battaglini, Giuseppe (1826-1894) 65 Baule, Anton (1850-1935) 14 Beez, Richard (1827-1902) 95 Behr, B. (bookseller) 202 Beltrami, Eugenio (1835-1900)

15, 17, 23, 44, 67-69, 86, 115 Bernoulli Daniel (1700-1782)

119, 145 Bernoulli, Jakob (1654-1705)

145, 157 Bernoulli, Johann (1667-1748) 1 Bernoulli, Nicolaus (1687-1759) 120 Bernshtein, Serger N atanovich

(1880-1968) 270 Bertrand, Joseph Louis Franc;ois

(1822-1900) 1, 18,21 Bessel, Friedrich Wilhelm (1784-

1846) 126, 127, 139, 144, 174 Betti, Enrico (1823-1892)

103, 115, 173 Bezold, Johann Friedrich Wilhelm

(1837-1907) 219 Biermann, Kurt-Reinhard (b. 1919)

185, 226 Biot, Jean Baptiste (1774-1862) 3 Bj6rling, Emmanuel Gabriel

(1808-1872) 23 Blaschke, Wilhelm (1885-1962) 116

284 Index of Names

Bobillier, Etienne (1797-1832) 32 Bockh, August (1785-1867) 158 B6lyai, Farkas (1775-1856)

56, 57, 62, 65 B6lyai, Janos (1802-1860) 57, 58, 61 Bolzano, Bernhard (1781-1848) 220 Bonnet, Pierre Ossian (1819-1892)

14, 15, 18, 19, 22, 94, 115 Borchardt, Karl Wilhelm

(1817-1880) 153, 159, 162, 169 Bordoni, Antonio Maria

(1789-1860) 23 Borel, Emile (1871-1956) 188, 236,

240, 242, 244, 267, 268, 272 Bottazzini, Umberto 173 Bouquet, Jean-Clause (1819-1885)

169, 171, 172, 186, 191, 208, 231, 236, 237, 257

Bour, Jacques Edmond Emile (1831-1866) 18, 19

Brashman, NikolaI Dmitrievich (1796-1866) 4

Brendel, Otto Rudolf Martin (1862-1939) 136

Brianchon, Charles Julien (1783-1864) 27, 28, 31

Brioschi, Francesco (1824-1897) 23 Briot, Charles Auguste Albert

(1817-1882) 169, 171, 172, 186, 191, 208, 231, 232, 236, 237

Brouwer, Luitzen Egbert Jan (1881-1966) 115

Buee, Adrien Quentin (1748-1826) 122, 124

BunyakovskiI, Viktor Yakovlevich (1804-1889) 166, 167

Caille, Nicolas Louis de la (1713-1762) 1

Cantor, Georg (1845-1918) 227, 240, 262

Carnot, Lazare Nicolas (1753-1823) 27-30, 41, 97

Cartan, Elie (1869-1951) 67,94, 116

Casorati, Felice (1835-1890) 153, 173, 180, 191, 227, 232, 239

Catalan, Eugene Charles (1814-1894) 18

Cauchy, Augustin-Louis (1789-1856) 4, 6, 29, 99, 120, 122-124, 126, 128-131, 148-153,160,166,169-171,183, 185-194, 198, 201-204, 206, 220, 228, 233, 234, 236, 242, 268-270

Cayley, Arthur (1821-1895) 43, 44, 52, 65, 69, 70, 76, 77, 115, 160

tech, Eduard (1893-1960) 116 Chasles, Michel (1793-1880) 23, 27,

31, 36, 38, 39, 41, 43, 115 Chebyshev, Pafnutil L'vovich

(1821-1894) 25,97, 151, 185, 229, 270

Chevalley, Claude (1909-1984) 116 Christoffel, Elvin Bruno

(1829-1900) 89, 90, 218 Clairaut, Claude Alexis (1713-1765)

1,5 Clebsch, Rudolf Friedrich Alfred

(1833-1872) 44-46, 103, 115, 159, 160, 177, 250, 263, 265

Clifford, William Kingdon (1845-1879) 73, 74, 87

Codazzi, Delfino (1824-1873) 18, 19, 22, 23

Conforto, Fabio (b. 1909) 257 Coolidge, Julian Lowell (1873-1958)

116 Cosserat, Eugene Maurice Pierre

(1866-1931) 24 Courant, Richard (1888-1972) 71 Cousin, Pierre (1867-1933)

225, 238, 248, 257, 272 Cramer, Gabriel (1704-1752) 1 Crelle, August Leopold (1780-1855)

3, 12, 13, 31, 36, 138, 148, 156, 157, 168, 181, 220, 223, 248

Cremona, Luigi (1830-1903) 23,44, 113

D'Alembert, Jean. See Alembert. Dandelin, Germinal Pierre

(1794- 1847) 4 Darboux, Gaston (1842- 1917)

24, 113 Dedekind, Richard (1831- 1916)

202, 271 Denjoy, Arnaud (1884- 1974) 268 Desargues, Gerard (1593- 1650) 27 Descartes, Rene (1596- 1650) 1,3 Dieudonne, Jean Alexandre

(1906- 1994) 231 Dirichlet. See Lejeune-Dirichlet. Dirksen, Enno Heeren (1792-1850)

13 Dugac, Pierre (b. 1926)

186, 221, 224, 248 Dupin, Pierre Charles Fran<;ois

(1784- 1873) 6, 26 Durege, Heinrich Jacob Karl

(1821- 1893) 173, 232 Dyck, Walther von (1856- 1934) 106

Egorov, Dimitri! Fedorovich (1869- 1931) 25

Einstein, Albert (1879- 1955) 61,89, 116

Eisenstein, Ferdinand Gotthold Max (1823- 1852) 166, 168, 169, 199,

_ 208,270 Engels, Friedrich (1820- 1895) 82 Enriques, Federigo (1871- 1946) 46

- Ermakov, Vasili! Petrovich (1845- 1922) 227

Euclid (ca. 365-300 BCE) 2, 42, 44, 54, 56- 58, 62, 109, 261

Euler, Leonhard (1707- 1783) 1, 3, 5, 8, 10, 15, 44, 80, 94, 97- 101, 106, 119- 121, 128, 133, 138, 158, 159, 177, 199, 202, 204, 207, 227, 234, 236, 243

Faber, Georg (1877- 1966) 270 Fabry, Eugene (1856- 1944) 267

Index of Names 285

Fagnano, Giulio Carlo (1682-1766) 157

Fano, Gino (1871- 1952) 117 Farabi, Abu-Nasr ibn Muhammad

al- (ca. 870-950) 38 Fellmann, E. ix Fermat, Pierre de (1601-1665) 1, 3 Feuerbach, Karl Wilhelm

(1800-1834) 31 Feuerbach, Ludwig (1804-1872) 31 Finikov, Serge! Pavlovich

(1883-1964) 116 Fran<;ais, J acques-Frederic

(1775-1833) 122 Frenet, Jean-Frederic (1816-1900)

6, 18, 20, 21, 90, 94, 115 Fricke, Karl Immanuel Robert

(1861-1930) 147 Frobenius, Ferdinand Georg

(1849-1917) 227, 257 Fubini , Guido Ghirin (1879-1943)

116 Fuchs, Immanuel Lazarus

(1833-1902) 227, 267 Fuss, Pavel, Nikolaevich

(1798-1859) 160

Galilei, Galileo (1564- 1642) 88, 116 Garnier, Jean-Guillaume

(1766-1840) 3 Gauss, Carl Friedrich (1777-1855)

2, 7- 12, 16, 18, 26, 32, 55, 56, 65, 83, 84, 95, 97, 104, 115, 122, 126, 127, 132- 147, 149, 157,161,168,174,182,185, 199, 201, 206, 212, 219, 257, 259

Gauthier-Villars, L. 245 Gergonne, Joseph Diez (1771-1859)

27- 29, 31, 35, 122 Gerling, Christian Ludwig

(1788-1864) 56, 58 Gibbs, Josiah Willard (1839-1903)

52 Giorgini, Gaetano (1795- 1874) 34

286 Index of Names

Goldbach, Christian (1690-1764) 142, 237

Goldschmidt, Karl (1807- 1851) 199 Gonchar, AndreI Aleksandrovich

(b. 1931) 268 Gapel , Adolf (1812- 1847)

181 , 182, 184, 223, 254, 271 Gordan, Paul (1837- 1912) 44, 265 Graffe, Karl Heinrich (1799-1873) 5 Grassmann, Hermann Gunther

(1809- 1877) 36,47- 51,77-79, 81, 84, 96, 115

Green, George (1793- 1841) 209, 210 Grunert, Johann August

(1797-1872) 4 Gudermann, Christoph (1798-1852)

161, 167, 221 , 224 Gur'ev, Semen Emel 'yanovich

(1764- 1813) 1

Haan, David Bierens de (1822-1895) 61

Hadamard, Jacques (1865-1963) 148, 241-244, 258, 266, 272

Hamilton, William Rowan (1805- 1865) 21, 26, 51, 52, 57, 77, 159

Harnack, Carl Gustav Axel (1851- 1888) 269

Hattendorf, Karl Friedrich Wilhelm (1834- 1882) 201

Hausdorff, Felix (1868- 1942) 115 Heaviside, Oliver (1850- 1925) 52 Hegel, Georg Wilhelm Friedrich

(1770- 1831) 13 Helmholtz, Hermann von (1821-

1894) 49, 107- 109, 115 Henderson, Archibald 46 Hermann, Jacob (1678- 1733) 1 Hermite, Charles (1822- 1901) 160,

162, 170, 179, 184, 258, 265 Hertz, Heinrich (1857-1894) 52 Hesse, Ludwig Otto (1811- 1874)

31, 44, 111, 160 Hettner, Georg (1854- 1914) 249

Hilbert, David (1862- 1943) 67, 68, 116, 216, 263, 268

Hirsch, Meyer (1765- 1851) 3 Hittorf, Johann Wilhelm

(1824-1914) 34 Holmboe, Berndt Michael

(1795-1850) 157 Holtzmuller, Gustav (1844-1971)

219 Hopf, Heinz (1894- 1971) 116 Hoppe, Ernst Reinhold (1816- 1900)

81 Horace, (Quintus Horatius Flaccus,

65- 8 BCE) 174 Houel, Guillaume-Jules (1823- 1886)

65 Huilier, SimonL' (1750- 1840)

4, 99, 101, 103 Humboldt, Alexander von

(1769-1859) 185,224 Hurwitz, Adolf (1859- 1919)

172, 235

Jacobi, Carl Gustave Jacob (1804-1851) 12, 13, 23, 44, 75, 76, 81 , 136, 138, 145, 146, 154, 156- 162, 164- 167, 169, 174, 176, 186, 197, 199, 200, 204, 220, 224, 229, 245, 246, 249, 255, 257, 258, 270

Jacobi , Moritz Hermann (1801-1874) 160

Jacobs, Konrad (b. 1928) ix Jensen, Johann Ludvig Wilhelm

Valdemar (1859- 1925) 245 Joachimsthal, Ferdinand

(1818-1861) 21 , 169 Jonquieres, Jean Philippe Arnest

Faque de (1820-1901) 45 Jordan, Camille (1838-1922)

82, 90, 92-95, 104, 105

Kagan, Veniamin Fedorovich (1869- 1953) 53, 65

Kant, Immanuel (1724-1804) 1, 54, 56

Kepler, Johannes (1571-1630) 27, 98

Killing, Wilhelm Karl Joseph (1847-1923) 67

Kirchhoff, Gustav Robert (1824-1887) 160

Klein, Felix Christian (1849-1925) 42, 44, 67, 71-74, 78, 81, 105, 106, 109-113, 136, 144, 167, 172,219,228,257-259,263, 267,271

Kline, Morris (1908-1992) 131 Kneser, Adolf (1862-1930) 22 Knoblauch, Johannes (1855-1915)

249 Koebe, Paul (1882-1945)

217, 228, 263 Kolmogorov, AndreI Nikolaevich

(1903-1987) x, 116 Kotel'nikov, Aleksandr Petrovich

(1865-1944) 87, 116 Kotel'nikov, Petr Ivanovich

(1809-1879) 55, 65, 89 Kovalevskaya, Sof'ya Vasil'evna

(1850-1891) 152,218,227,234, 237, 247, 265

Kronecker, Leopold (1823-1891) 123, 168

Kummer, Ernst Eduard (1810-1893) 21, 26, 115, 144

La Caille, Nicolas. See Caille. Lacroix, Sylvestre Fran<;ois

(1765-1843) 3, 131 Lagrange, Joseph-Louis (1736-1813)

3, 119, 126, 138, 157, 159, 220, 230, 234

Laguerre, Edmond Nicolas (1834-1886) 43, 113, 240

Lambert, Johann Heinrich (1728-1777) 1,27,38,64

Lame, Gabriel (1795-1870) 3,17,23 Lancret, Michel Ange (1774-1807) 6

Index of Names 287

Landen, John (1719-1790) 157 Lapko, Anatolil Filippovich

(b. 1919) viii Laplace, Pierre-Simon de

(1749-1827) 23, 125, 128, 131, 212, 220

Laptev, Boris Lukich (b. 1905) v Laurent, Pierre Alphonse (1813-

1854) 153, 205, 211, 222, 264 Lebesgue, Henri (1875-1941) 211 Lefschetz, Solomon (1884-1972) 257 Legendre, Adrien-Marie

(1752-1833) 154, 157, 160, 167, 174, 176, 199, 220, 230

Lehman, Rudolf (1854-1914) 211 Leibniz, Gottfried Wilhelm von

(1646-1716) 27, 51, 97, 102, 220

Lejeune-Dirichlet, Peter Gustav (1805-1859) 13, 173, 185, 199, 201, 212-215, 223, 225, 248, 249, 251, 265, 271

Leonardo da Vinci. See Vinci. Letnikov, Aleksel Vasil'evich

(1837-1888) 66 Levi-Civita, Tullio (1873-1941)

15, 116 L'Huilier, Simon. See Huilier. Lie, Sophus (1842-1899)

2, 67, 109, 113, 115, 116 Liebmann, Karl Otto Heinrich

(1874-1939) 15 Liouville, Joseph (1809-1882)

12, 18, 23, 107, 115, 153, 166, 169, 170, 183, 204, 231-233, 236, 270

Lipschitz, Rudolf (1832-1903) 89, 234

Listing, Johann Benedikt (1808-1882) 99, 100, 115, 199

Littrow, Joseph Johann von (1781-1840) 4

LobachevskiI, NikolaI Ivanovich (1792-1856) 2, 5, 43, 53-55, 88, 115,229

288 Index of Names

Lorgna, Antonio Maria (1735-1796) 120

Luzin, NikolaI Nikolaevich (1883-1950) 25

Lyapunov, Aleksandr Mikhallovich (1857-1918) 97

Maclaurin, Colin (1698-1746) 47, 149, 160

Mainardi, Angelo Gaspare (1800-1879) 22, 23

Malus, Etienne Louis (1775-1812) 5, 26

Markov, AndreI Andreevich (1856-1922) 230

Markushevich, AlekseIIvanovich (1908-1979) ix, 120, 122, 133

Maupertuis, Pierre Louis Moreau (1698-1759) 1

Maxwell, James Clerk (1831-1879) 52, 97, 235

Medvedev, Fedor Andreevich (1923-1992) viii -

Men'shov, Dmitril Evgen'evich (1892-1988) 211

Meusnier de la Place, Jean Baptiste Marie Charles (1754-1793) 5

Minding, Ernst Ferdinand Adolf Gottlieb (1806-1885) 12, 13, 15, 16, 22, 24, 67, 68, 86, 115

Minkowski, Hermann (1864-1909) 116

Mittag-Leffler, Magnus Gosta (1846-1927) 183, 227, 238, 266, 268, 270

MlodzeevskiI, Boleslav Kornelievich (1858-1923) 24

Mobius, August Ferdinand (1790-1868) 31-33, 39, 41, 48, 101, 104-107, 115

ModzalevskiI, Lev Borisovich (1902-1948) 54

Moivre, Abraham de (1667-1754) 155

Molk, Conrad Frederic Jules (1857-1914) 162

Monge, Gaspard (1746-1818) 1,3, 7, 12, 18, 26, 27, 29, 38, 107

Montel, Paul Antoine Aristide (1876-1975) 269

Montessus de Ballore, Robert de (1870-1937) 172

Montferrier, Alexandre-Andre Victor Sarazin de (1792-1863) 167

Murphy, Robert (1806-1843) 233 Muskhelishvili, NikolaI Ivanovich

(1891-1976) 234

Napoleon I (1769-1821) 29 Neuenschwander, Erwin 153, 180,

191, 231 Neugebauer, Otto (1899-1992) 71 Neumann, Karl Gottfried

(1832-1925) 172, 191 Nevanlinna, Rolf Herman

(1895-1980) 271 Newton, Isaac (1642-1727) 1, 38,

88, 89, 114, 119, 195, 220 Noether, Emmy (1882-1935) 46 Noether, Max (1844-1921) 46, 227 Nomizu, Kakumi 116 Norden, Aleksandr Petrovich

(b. 1904) 116

Olbers, Wilhelm (1758-1840) 56 Osgood, William Fogg (1864-1943)

216, 268 OstrogradskiI, Mikhail Vasil'evich

~1801-1862) 75, 76, 167, 228

Painleve, Paul (1863-1933) 211,258 Pappus of Alexandria (3rd cent.)

27, 28, 39 Pascal, Blaise (1623-1662)

27, 28, 31, 38 Pestalozzi, Johann Heinrich

(1746-1827) 36

Peterson, Karl Mikhallovich (1828-1881) 13, 24, 115

Pfaff, Johann Friedrich (1765-1825) 139

Picard, Emile (1856-1941) 177,231,236,239,244,249, 256, 266, 272

Pincherle, Salvatori (1853-1936) 117 Plemelj, Josip (1873-1967) 234 Plucker, Julius (1801-1868)

26, 31, 34-36, 41, 44, 47, 71, 78,112, 115

Pogorelov, Alekse'l Vasil'evich (b. 1919) 15

Poincare, Henri (1854-1912) 2, 64, 71, 96, 104, 106, 116, 215, 225, 228, 238, 241, 244, 248, 249, 256-261, 263, 267,272

Poinsot, Louis (1777-1859) 98, 99 Poisson, Simeon Denis (1781-1840)

126, 174 Poncelet, Jean Victor (1788-1867)

5, 29-31, 36, 38, 40, 41, 63, 115, 171

Pontryagin, Lev Semenovich (1908-1988) 116, 236

Porter, Milton Brockett (1869-1960) 269

Prym, Friedrich Emil (1841-1915) 180

Puiseux, Victor Alexandre (1820-1883) 18, 153, 189-198, 202, 204, 208, 223, 253, 271

Rashevskil, Petr Konstantinovich (b. 1907) ix, 116

Ricci-Curbastro, Gregorio (1853-1925) 116

Richelot, Friedrich Julius (1808-1875) 160, 265

Riemann, Georg Friedrich Bernhard (1826-1866) 2, 23, 45, 46, 70, 83-89, 94, 95, 98, 102, 103, 105, 107, 109, 116, 140, 141, 144,171-173,176,179,187,

Index of Names 289

191, 198-215, 219, 223, 225, 232, 241-243, 245, 248, 249, 251-257, 262-264, 271, 272

Roch, Gustav (1839-1866) 45, 46 Rodrigues, Olinde (1794-1851) 6, 9 Rolle, Michel (1652-1719) 240, 241 Rosenhain, Johann Georg

(1816-1887) 182, 184, 185, 223, 254,271

Routh, Edward John (1831-1907) 235

Rozenfel'd, Boris Abramovich (b. 1917) v

Runge, Carl David Tolme (1856-1927) 268, 272

Saccheri, Girolamo (1667-1733) 1 Saint-Simon de Rouvroy, Henri

Claude de (1760-1825) 6 Saint-Venant, Adhemard Jean

Claude Barre de (1797-1886) 17,20

Salmon, George (1819-1904) 4, 21, 31, 44-46, 72

Scherk, Heinrich Friedrich (1798-1885) 23

SchHifli, Ludwig (1814-1895) 46, 78, 79, 81, 96

Schlesinger, Ludwig (1864-1933) 136

Schottky, Friedrich Hermann (1851-1935) 217, 227, 258, 271

Schoute, Pieter Hendrik (1846-1913) 96

Schouten, Jan Arnoldus (1883-1971) 116

Schubert, Hermann (1848-1911) 47, 96

Schumacher, Heinrich Christian (1780-1850) 65, 132, 156

Schur, Friedrich (1856-1932) 67 Schwarz, Hermann Amandus

(1842-1921) 144, 215-219, 227, 237, 239, 247, 248, 259, 261-263, 271

290 Index of Names

Scorza-Dragoni, G. G. E. (b. 1908) 257

Serret, Joseph Alfred (1819-1885) 6, 18, 20, 90, 93, 115

Serret, Paul (1827-1898) 21 Servois, Franc;ois Joseph de

(1767-1847) 28 Shirokov, Petr Alekseevich

(1895-1944) 116 Siegel, Carl Ludwig (1896-1981)

246 Slade, Henry 81 Sokhotskil, Yulian Vasil'evich

(1842-1927) 227, 229-234, 239 Solov'ev, Aleksandr Dmitrievich

(b. 1927) ix Sommerfeld, Arnold (1868-1951)

116 Sommerville, Duncan Mac Loren

Young (1879-1934) 116 Somov, Iosif (Osip) Ivanovich

(1815-1876) 25, 167, 229 SUickel, Paul (1862-1919) 22 Staudt, Karl Georg Christiap. von

(1798-1867) 31, 40-42, 72, 97, 115

Steiner, Jacob (1796-1863) 13,31, 34, 36-39, 41, 45, 115, 199

Stern, Moritz Abraham (1807-1094) 199

Stieltjes, Thomas Jan (1856-1894) 269, 272

Stirling, James (1692-1770) 1 Stolz, Otto (1842-1905) 72 Stringham, Washington Irving

(1847-1909) 81 Study, Eduard (1862-1922) 87, 116 Sturm, Charles Franc;ois

(1803-1855) 151, 189 Suvorov, Fedor Matveevich

(1845-1911) 25, 66, 89, 91 Sylvester, James Joseph

(1814-1897) 44-46

Tannery, Jules (1848-1910) 162,266

Taton, Rene (b. 1915) ix Taylor, Brook (1685-1731)

27, 119, 151, 232, 266 Tikhomandritskil, Matvel

Aleksandrovich (1844-1921) 227, 245

Tinseau, Charles (1749-1822) 5 Tonelli, Alberto 270 Tsinger, Vasilil Yakovlevich

(1836-1907) 25

Ullrich, Georg Karl Justus (1798-1879) 199

Vallee-Poussin, Charles Jean de la (1866-1962) 244

Van der Waerden, Bartel Leendert (b. 1903) 47

Vandermonde, Alexandre Theophile (1735-1796) 97, 99

Vashchenko-Zakharchenko, Mikhail Egor'evich (1825-1912) 173, 229

Vasil'ev, Aleksandr Vasil'evich (1853-1929) 66

Veblen, Oswald (1880-1960) 116, 117

Vinci, Leonardo da (1452-1519) 38 Vitali, Giuseppe (1875-1932) 269 Volterra, Vito (1860-1940) 263 von Dyck, Walther. See Dyck. Vyshnegradskil, Ivan Alekseevich

(1831-1885) 235

Walsh, Joseph Leonard (1895-1973) . 270

Waring, Edward (1734-1798) 1,27 Weber, Heinrich (1842-1913)

179, 184, 271 Weber, Wilhelm Eduard

(1804-1891) 199 Weierstrass, Karl Theodor Wilhelm

(1815-1896) 66, 72, 135, 141, 144, 152, 153, 166-168, 170-172, 179, 183, 186, 188, 191,

192, 203, 205, 214, 215, 217, 218, 220-227, 230, 231, 236-240, 257, 259, 267, 271

Weil, Andre (b. 1910) 168 Weingarten, Julius (1836-1910)

21, 95, 115 Wessel, Caspar (1745-1818) 121 Weyl, Hermann (1885-1955) 67, 116 Whitehead, John Henry

Constantine (1904-1960) 116 Wiener, Christian (1826-1896) 46 Wirtinger, Wilhelm (1865-1945)

256, 272

Index of Names 291

Yanishevskil, Erast Petrovich (1829-1906) 66

Yushkevich, Adolf-AndreI Pavlovich (1906-1993) 126, 228

Yushkevich, Pavel Solomonovich (1873-1945) 67

Zeuthen, Hieronymus Georg (1839-1920) 47

Zollner, Johann Carl Friedrich (1834-1882) 2, 81

Zolotarev, Egor Ivanovich (1847-1878) 230