Calculus Made Easy


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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)

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Preface to the Second Edition, Prologue 2:05 Gelesen von Adam
Chapter I: To Deliver You from the Preliminary Terrors 2:36 Gelesen von Adam
Chapter II: On Different Degrees of Smallness 11:07 Gelesen von Mike Pelton
Chapter III: On Relative Growings 17:26 Gelesen von katetastrophe
Chapter IV: Simplest Cases 17:41 Gelesen von katetastrophe
Exercises I, Answers to Exercises I 4:01 Gelesen von Adam
Chapter V: Next Stage. What to Do With Constants 17:55 Gelesen von Le
Exercises II, Answers to Exercises II 11:30 Gelesen von Le
Chapter VI: Sums, Differences, Products, and Quotients 32:31 Gelesen von Le
Exercises III, Answers to Exercises III 10:14 Gelesen von Paul E J King
Chapter VII: Successive Differentiation 5:29 Gelesen von Paul E J King
Exercises IV, Answers to Exercises IV 6:37 Gelesen von Le
Chapter VIII: When Time Varies - Part 1 16:13 Gelesen von Jargoniel
Chapter VIII: When Time Varies - Part 2 15:14 Gelesen von Jargoniel
Exercises V, Answers to Exercises V 6:25 Gelesen von Bruce Kachuk
Chapter IX: Introducing a Useful Dodge 25:32 Gelesen von Bruce Kachuk
Exercises VI and VII, Answers to Exercises VI and VII 11:12 Gelesen von Bruce Kachuk
Chapter X: Geometrical Meaning of Differentiaton 16:27 Gelesen von realisticspeakers
Exercises VIII, Answers to Exercises VIII 5:45 Gelesen von Le
Chapter XI: Maxima and Minima - Part 1 14:10 Gelesen von clarinetcarrot
Chapter XI: Maxima and Minima - Part 2 17:14 Gelesen von clarinetcarrot
Exercises IX, Answers to Exercises IX 5:43 Gelesen von clarinetcarrot
Chapter XII: Curvature of Curves 13:50 Gelesen von clarinetcarrot
Exercises X, Answers to Exercises X 7:15 Gelesen von clarinetcarrot
Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions 23:51 Gelesen von clarinetcarrot
Exercises XI, Answers to Exercises XI 8:21 Gelesen von clarinetcarrot
Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function 5:23 Gelesen von clarinetcarrot
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A) 19:03 Gelesen von Paul E J King
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B) 27:45 Gelesen von Paul E J King
Exercises XII, Answers to Exercises XII 6:56 Gelesen von Paul E J King
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve 2:48 Gelesen von Le
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve 21:56 Gelesen von Le
Exercises XIII, Answers to Exercises XIII 8:15 Gelesen von Le
Chapter XV: How to Deal With Sines and Cosines - Part 1 8:57 Gelesen von Son of the Exiles
Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine 6:37 Gelesen von Ielmie
Exercises XIV, Answers to Exercises XIV 9:01 Gelesen von Le
Chapter XVI: Partial Differentiation - Part 1 7:36 Gelesen von clarinetcarrot
Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables 4:33 Gelesen von clarinetcarrot
Exercises XV, Answers to Exercises XV 6:45 Gelesen von clarinetcarrot
Chapter XVII: Integration - Part 1 5:09 Gelesen von Bruce Kachuk
Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves 6:43 Gelesen von Bruce Kachuk
Exercises XVI, Answers to Exercises XVI 2:10 Gelesen von Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1 9:03 Gelesen von Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions 1:53 Gelesen von Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms 9:10 Gelesen von Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals 5:59 Gelesen von Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals 4:21 Gelesen von Bruce Kachuk
Exercises XVII, Answers to Exercises XVII 6:36 Gelesen von Bruce Kachuk
Chapter XIX: On Finding Areas by Integrating - Part 1 23:42 Gelesen von Bruce Kachuk
Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates 3:44 Gelesen von Bruce Kachuk
Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration 3:44 Gelesen von Bruce Kachuk
Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means 4:04 Gelesen von Bruce Kachuk
Exercises XVIII, Answers to Exercises XVIII 7:43 Gelesen von clarinetcarrot
Chapter XX: Dodges, Pitfalls, and Triumphs 14:52 Gelesen von clarinetcarrot
Exercises XIX, Answers to Exercises XIX 5:05 Gelesen von clarinetcarrot
Chapter XXI: Finding Some Solutions - Part 1 15:00 Gelesen von clarinetcarrot
Chapter XXI: Finding Some Solutions - Part 2 13:05 Gelesen von clarinetcarrot
Epilogue and Apologue 3:25 Gelesen von Rachel

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