Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning which Are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus is is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. (from Wikipedia)
Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics—and they are mostly clever fools—seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way.Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can. (from the Prologue)
Preface to the Second Edition, PrologueChapter I: To Deliver You from the Preliminary TerrorsChapter II: On Different Degrees of SmallnessChapter III: On Relative GrowingsChapter IV: Simplest CasesExercises I, Answers to Exercises IChapter V: Next Stage. What to Do With ConstantsExercises II, Answers to Exercises IIChapter VI: Sums, Differences, Products, and QuotientsExercises III, Answers to Exercises IIIChapter VII: Successive DifferentiationExercises IV, Answers to Exercises IVChapter VIII: When Time Varies - Part 1Chapter VIII: When Time Varies - Part 2Exercises V, Answers to Exercises VChapter IX: Introducing a Useful DodgeExercises VI and VII, Answers to Exercises VI and VIIChapter X: Geometrical Meaning of DifferentiatonExercises VIII, Answers to Exercises VIIIChapter XI: Maxima and Minima - Part 1Chapter XI: Maxima and Minima - Part 2Exercises IX, Answers to Exercises IXChapter XII: Curvature of CurvesExercises X, Answers to Exercises XChapter XIII: Other Useful Dodges - Part 1: Partial FractionsExercises XI, Answers to Exercises XIChapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse FunctionChapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)Exercises XII, Answers to Exercises XIIChapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic CurveChapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away CurveExercises XIII, Answers to Exercises XIIIChapter XV: How to Deal With Sines and Cosines - Part 1Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or CosineExercises XIV, Answers to Exercises XIVChapter XVI: Partial Differentiation - Part 1Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent VariablesExercises XV, Answers to Exercises XVChapter XVII: Integration - Part 1Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselvesExercises XVI, Answers to Exercises XVIChapter XVIII: Integrating as the Reverse of Differentiating - Part 1Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two FunctionsChapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant TermsChapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other IntegralsChapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple IntegralsExercises XVII, Answers to Exercises XVIIChapter XIX: On Finding Areas by Integrating - Part 1Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar CoordinatesChapter XIX: On Finding Areas by Integrating - Part 3: Volumes by IntegrationChapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic MeansExercises XVIII, Answers to Exercises XVIIIChapter XX: Dodges, Pitfalls, and TriumphsExercises XIX, Answers to Exercises XIXChapter XXI: Finding Some Solutions - Part 1Chapter XXI: Finding Some Solutions - Part 2Epilogue and Apologue
Calculus Made Easy - Silvanus P. Thompson - Description and brief content, listen free online on the e-library site at Knigi-Audio.com/en/
