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Calculus Made Easy

Calculus Made Easy

Silvanus P. Thompson
Buka sebagai podcast
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  • Penyedia: Librivox
  • Bahasa: 
    English
  • Genre: 
    Tidak dikenal
  • Narator: 
    Bruce Kachuk
  • Peringkat: 
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)

Bab10 j 7 mnt

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