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Silvanus P. Thompson - Calculus Made Easy

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