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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) (10 hr 7 min)

Chapters

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 (…

19:03

Read by Paul E J King

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (…

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: …

2:48

Read by Le

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: …

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 Co…

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 o…

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: Integrat…

1:53

Read by Bruce Kachuk

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to D…

9:10

Read by Bruce Kachuk

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Oth…

5:59

Read by Bruce Kachuk

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Doubl…

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 Coordinat…

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

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