Calculus Made Easy by Silvanus P. Thompson, book cover
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Calculus Made Easy

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  1. Preface to the Second Edition, Prologue

    2:05

  2. Chapter I: To Deliver You from the Preliminary Terrors

    2:36

  3. Chapter II: On Different Degrees of Smallness

    11:07

  4. Chapter III: On Relative Growings

    17:26

  5. Chapter IV: Simplest Cases

    17:41

  6. Exercises I, Answers to Exercises I

    4:01

  7. Chapter V: Next Stage. What to Do With Constants

    17:55

  8. Exercises II, Answers to Exercises II

    11:30

  9. Chapter VI: Sums, Differences, Products, and Quotients

    32:31

  10. Exercises III, Answers to Exercises III

    10:14

  11. Chapter VII: Successive Differentiation

    5:29

  12. Exercises IV, Answers to Exercises IV

    6:37

  13. Chapter VIII: When Time Varies - Part 1

    16:13

  14. Chapter VIII: When Time Varies - Part 2

    15:14

  15. Exercises V, Answers to Exercises V

    6:25

  16. Chapter IX: Introducing a Useful Dodge

    25:32

  17. Exercises VI and VII, Answers to Exercises VI and VII

    11:12

  18. Chapter X: Geometrical Meaning of Differentiaton

    16:27

  19. Exercises VIII, Answers to Exercises VIII

    5:45

  20. Chapter XI: Maxima and Minima - Part 1

    14:10

  21. Chapter XI: Maxima and Minima - Part 2

    17:14

  22. Exercises IX, Answers to Exercises IX

    5:43

  23. Chapter XII: Curvature of Curves

    13:50

  24. Exercises X, Answers to Exercises X

    7:15

  25. Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions

    23:51

  26. Exercises XI, Answers to Exercises XI

    8:21

  27. Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function

    5:23

  28. Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)

    19:03

  29. Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)

    27:45

  30. Exercises XII, Answers to Exercises XII

    6:56

  31. Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve

    2:48

  32. Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve

    21:56

  33. Exercises XIII, Answers to Exercises XIII

    8:15

  34. Chapter XV: How to Deal With Sines and Cosines - Part 1

    8:57

  35. Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine

    6:37

  36. Exercises XIV, Answers to Exercises XIV

    9:01

  37. Chapter XVI: Partial Differentiation - Part 1

    7:36

  38. Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables

    4:33

  39. Exercises XV, Answers to Exercises XV

    6:45

  40. Chapter XVII: Integration - Part 1

    5:09

  41. Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves

    6:43

  42. Exercises XVI, Answers to Exercises XVI

    2:10

  43. Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1

    9:03

  44. Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions

    1:53

  45. Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms

    9:10

  46. Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals

    5:59

  47. Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals

    4:21

  48. Exercises XVII, Answers to Exercises XVII

    6:36

  49. Chapter XIX: On Finding Areas by Integrating - Part 1

    23:42

  50. Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates

    3:44

  51. Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration

    3:44

  52. Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means

    4:04

  53. Exercises XVIII, Answers to Exercises XVIII

    7:43

  54. Chapter XX: Dodges, Pitfalls, and Triumphs

    14:52

  55. Exercises XIX, Answers to Exercises XIX

    5:05

  56. Chapter XXI: Finding Some Solutions - Part 1

    15:00

  57. Chapter XXI: Finding Some Solutions - Part 2

    13:05

  58. Epilogue and Apologue

    3:25

Calculus Made Easy (1914) is a public domain work.

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About this book

Silvanus P. Thompson wrote this short course for readers who have been put off by the symbols of calculus. His prologue admits that some calculus tricks are easy and some enormously difficult, and promises to show only the parts that are not hard. The second edition, dated 1914, adds worked examples and exercises, with answers at the back.

The opening chapter explains the two key signs in everyday terms: one stands for "a little bit of" a quantity, the other for "the sum of" such bits. From there the book moves through degrees of smallness, relative growth, constants, sums, products and quotients, successive differentiation, maxima and minima, curvature, compound interest and the law of organic growth, partial fractions, and finally integration and finding areas.

It suits students, self-taught learners and anyone who wants the ideas of differentiation and integration explained in plain language before meeting the formal versions.

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Reading time
About 3 hours
Formats
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Audio read by
Bruce Kachuk, clarinetcarrot, Le and others