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)

Chapters

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

Reviews


(4 stars)

It's good, but you can't listen to the last Chapter.