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
1
Preface to the Second Edition, Prologue Read by Adam 2:05
2
Chapter II: On Different Degrees of Smallness Read by Mike Pelton 11:07
3
Chapter III: On Relative Growings Read by katetastrophe 17:26
4
Chapter IV: Simplest Cases Read by katetastrophe 17:41
5
Exercises I, Answers to Exercises I Read by Adam 4:01
6
Chapter V: Next Stage. What to Do With Constants Read by Le 17:55
7
Exercises II, Answers to Exercises II Read by Le 11:30
8
Chapter VI: Sums, Differences, Products, and Quotients Read by Le 32:31
9
Exercises III, Answers to Exercises III Read by Paul E J King 10:14
10
Chapter VII: Successive Differentiation Read by Paul E J King 5:29
11
Exercises IV, Answers to Exercises IV Read by Le 6:37
12
Chapter VIII: When Time Varies - Part 1 Read by Jargoniel 16:13
13
Chapter VIII: When Time Varies - Part 2 Read by Jargoniel 15:14
14
Exercises V, Answers to Exercises V Read by Bruce Kachuk 6:25
15
Chapter IX: Introducing a Useful Dodge Read by Bruce Kachuk 25:32
16
Exercises VI and VII, Answers to Exercises VI and VII Read by Bruce Kachuk 11:12
17
Chapter X: Geometrical Meaning of Differentiaton Read by realisticspeakers 16:27
18
Exercises VIII, Answers to Exercises VIII Read by Le 5:45
19
Chapter XI: Maxima and Minima - Part 1 Read by clarinetcarrot 14:10
20
Chapter XI: Maxima and Minima - Part 2 Read by clarinetcarrot 17:14
21
Exercises IX, Answers to Exercises IX Read by clarinetcarrot 5:43
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Chapter XII: Curvature of Curves Read by clarinetcarrot 13:50
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Exercises X, Answers to Exercises X Read by clarinetcarrot 7:15
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Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions Read by clarinetcarrot 23:51
25
Exercises XI, Answers to Exercises XI Read by clarinetcarrot 8:21
26
Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function Read by clarinetcarrot 5:23
27
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A) Read by Paul E J King 19:03
28
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B) Read by Paul E J King 27:45
29
Exercises XII, Answers to Exercises XII Read by Paul E J King 6:56
30
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve Read by Le 2:48
31
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve Read by Le 21:56
32
Exercises XIII, Answers to Exercises XIII Read by Le 8:15
33
Chapter XV: How to Deal With Sines and Cosines - Part 1 Read by Son of the Exiles 8:57
34
Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine Read by Ielmie 6:37
35
Exercises XIV, Answers to Exercises XIV Read by Le 9:01
36
Chapter XVI: Partial Differentiation - Part 1 Read by clarinetcarrot 7:36
37
Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables Read by clarinetcarrot 4:33
38
Exercises XV, Answers to Exercises XV Read by clarinetcarrot 6:45
39
Chapter XVII: Integration - Part 1 Read by Bruce Kachuk 5:09
40
Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves Read by Bruce Kachuk 6:43
41
Exercises XVI, Answers to Exercises XVI Read by Bruce Kachuk 2:10
42
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1 Read by Bruce Kachuk 9:03
43
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions Read by Bruce Kachuk 1:53
44
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms Read by Bruce Kachuk 9:10
45
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals Read by Bruce Kachuk 5:59
46
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals Read by Bruce Kachuk 4:21
47
Exercises XVII, Answers to Exercises XVII Read by Bruce Kachuk 6:36
48
Chapter XIX: On Finding Areas by Integrating - Part 1 Read by Bruce Kachuk 23:42
49
Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates Read by Bruce Kachuk 3:44
50
Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration Read by Bruce Kachuk 3:44
51
Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means Read by Bruce Kachuk 4:04
52
Exercises XVIII, Answers to Exercises XVIII Read by clarinetcarrot 7:43
53
Chapter XX: Dodges, Pitfalls, and Triumphs Read by clarinetcarrot 14:52
54
Exercises XIX, Answers to Exercises XIX Read by clarinetcarrot 5:05
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Chapter XXI: Finding Some Solutions - Part 1 Read by clarinetcarrot 15:00
56
Chapter XXI: Finding Some Solutions - Part 2 Read by clarinetcarrot 13:05
57
Epilogue and Apologue Read by Rachel 3:25
From LibriVox, read by volunteers and in the public domain. LibriVox page (opens librivox.org) , the text (opens gutenberg.org) , all files on the Internet Archive (opens archive.org) .
