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Calculus Made Easy

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00 - Preface to the Second Edition, Prologue

Tác giả: Silvanus P. Thompson

00:00:00

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