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

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