Calculus Made Easy

Author:
Silvanus P. Thompson
Genres:
Mathematics
Language:
English
Read by:
LibriVox Volunteers
Runnning time:
10:07:27
Upload date:
2016-08-07

Preface to the Second Edition, Prologue

Chapters

1.
Preface to the Second Edition, Prologue
00:02:05
2.
Chapter I: To Deliver You from the Preliminary Terrors
00:02:36
3.
Chapter II: On Different Degrees of Smallness
00:11:07
4.
Chapter III: On Relative Growings
00:17:26
5.
Chapter IV: Simplest Cases
00:17:41
6.
Exercises I, Answers to Exercises I
00:04:01
7.
Chapter V: Next Stage. What to Do With Constants
00:17:55
8.
Exercises II, Answers to Exercises II
00:11:30
9.
Chapter VI: Sums, Differences, Products, and Quotients
00:32:31
10.
Exercises III, Answers to Exercises III
00:10:14
11.
Chapter VII: Successive Differentiation
00:05:29
12.
Exercises IV, Answers to Exercises IV
00:06:37
13.
Chapter VIII: When Time Varies - Part 1
00:16:13
14.
Chapter VIII: When Time Varies - Part 2
00:15:14
15.
Exercises V, Answers to Exercises V
00:06:25
16.
Chapter IX: Introducing a Useful Dodge
00:25:32
17.
Exercises VI and VII, Answers to Exercises VI and VII
00:11:12
18.
Chapter X: Geometrical Meaning of Differentiaton
00:16:27
19.
Exercises VIII, Answers to Exercises VIII
00:05:45
20.
Chapter XI: Maxima and Minima - Part 1
00:14:10
21.
Chapter XI: Maxima and Minima - Part 2
00:17:14
22.
Exercises IX, Answers to Exercises IX
00:05:43
23.
Chapter XII: Curvature of Curves
00:13:50
24.
Exercises X, Answers to Exercises X
00:07:15
25.
Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions
00:23:51
26.
Exercises XI, Answers to Exercises XI
00:08:21
27.
Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function
00:05:23
28.
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)
00:19:03
29.
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)
00:27:45
30.
Exercises XII, Answers to Exercises XII
00:06:56
31.
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve
00:02:48
32.
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve
00:21:56
33.
Exercises XIII, Answers to Exercises XIII
00:08:15
34.
Chapter XV: How to Deal With Sines and Cosines - Part 1
00:08:57
35.
Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine
00:06:37
36.
Exercises XIV, Answers to Exercises XIV
00:09:01
37.
Chapter XVI: Partial Differentiation - Part 1
00:07:36
38.
Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables
00:04:33
39.
Exercises XV, Answers to Exercises XV
00:06:45
40.
Chapter XVII: Integration - Part 1
00:05:09
41.
Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves
00:06:43
42.
Exercises XVI, Answers to Exercises XVI
00:02:10
43.
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1
00:09:03
44.
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions
00:01:53
45.
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms
00:09:10
46.
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals
00:05:59
47.
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals
00:04:21
48.
Exercises XVII, Answers to Exercises XVII
00:06:36
49.
Chapter XIX: On Finding Areas by Integrating - Part 1
00:23:42
50.
Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates
00:03:44
51.
Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration
00:03:44
52.
Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means
00:04:04
53.
Exercises XVIII, Answers to Exercises XVIII
00:07:43
54.
Chapter XX: Dodges, Pitfalls, and Triumphs
00:14:52
55.
Exercises XIX, Answers to Exercises XIX
00:05:05
56.
Chapter XXI: Finding Some Solutions - Part 1
00:15:00
57.
Chapter XXI: Finding Some Solutions - Part 2
00:13:05
58.
Epilogue and Apologue
00:03:25
Description
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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