Thompson, Gardner Calculus Made Easy

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Transcript of Thompson, Gardner Calculus Made Easy

  • CoverBooks by Martin GardnerCONTENTSPreface to the 1998 EditionPreliminary Chapter 1 - What is a Function?Preliminary Chapter 2 - What is a Limit?Preliminary Chapter 3 - What is a Derivative?Publisher's Note on the Third EditionPrologueChapter I - To Deliver You from the Preliminary TerrorsChapter II - On Different Degrees of SmallnessChapter III - On Relative GrowingsChapter IV - Simplest CasesChapter V - Next Stage. What to do with ConstantsChapter VI - Sums, Differences, Products and QuotientsChapter VII - Successive DifferentiationChapter VIII - When Time VariesChapter IX - Introducing a Useful DodgeChapter X - geometrical Meaning of DifferentiationChapter XI - Maxima and MinimaChapter XII - Curvature of CurvesChapter XIII - Partial Fractions and Inverse FunctionsChapter XIV - On True Compound Interest and the Law of Organic GrowthChapter XV - How to deal with Sines and CosinesChapter XVI - Partial DifferentiationChapter XVII - IntegrationChapter XVIII - Integrating as the Reverse of DifferentiatingChapter XV - On Finding Areas by IntegrationChapter XX - Dodges, Pitfalls, and TriumphsChapter XXI - Finding SolutionsChapter XXII - A little more about the Curvature of CurvesChapter XXIII - How to find the Length of an Arc on a CurveEPILOGUE AND APOLOGUEANSWERSAPPENDIX - some recreational problems related to calculusINDEXAbout the Authors