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Calculus Made Easy

英语 BooksWhale 版本 · Silvanus P. Thompson

A famously approachable introduction to differential and integral calculus.

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Calculus Made Easy

Calculus Made Easy explains the ideas of calculus in plain language, reducing fear around symbols and methods. Thompson’s book remains a lively historical introduction to mathematical thinking.

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Silvanus P. Thompson died in 1916, and Calculus Made Easy was first published in 1910; these dates support the public-domain basis for this English edition.

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Calculus Made Easy

Silvanus Phillips Thompson

Being a very-simplest introduction to the Differential and Integral Calculus

What one fool can do, another can.

(Ancient Simian Proverb.)

预览章节Preface To The Second Edition预览

The surprising success of this work has led the author to add a considerable number of worked examples and exercises. Advantage has also been taken to enlarge certain parts where experience showed that further explanations would be useful. The author acknowledges with gratitude many valuable suggestions and letters received from teachers, students, and—critics.

October, 1914.

预览章节Prologue预览

Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. 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.

目录

本版本内容

  1. 01Full text
  2. 02Preface To The Second Edition
  3. 03Prologue
  4. 04CHAPTER I. To Deliver You From The Preliminary Terrors
  5. 05CHAPTER II. On Different Degrees Of Smallness
  6. 06CHAPTER III. On Relative Growings
  7. 07CHAPTER IV. Simplest Cases
  8. 08Exercises I. (See p. 252 for Answers.)
  9. 09CHAPTER V
  10. 10Exercises II. (See p. 252 for Answers.)
  11. 11CHAPTER VI. Sums, Differences, Products And Quotients
  12. 12Exercises III. (See the Answers on p. 253.)
  13. 13CHAPTER VII. Successive Differentiation
  14. 14Examples.
  15. 15Exercises IV. (See page 253 for Answers.)
  16. 16CHAPTER VIII. When Time Varies
  17. 17Examples.
  18. 18Exercises V. (See page 255 for Answers.)
  19. 19CHAPTER IX. Introducing A Useful Dodge
  20. 20Examples.
  21. 21Exercises VI. (See page 255 for Answers.)
  22. 22Examples.
  23. 23Exercises VII. You can now successfully try the following. (See
  24. 24CHAPTER X. Geometrical Meaning Of Differentiation
  25. 25Exercises VIII. (See page 256 for Answers.)
  26. 26CHAPTER XI. Maxima And Minima
  27. 27Exercises IX. (See page 257 for Answers.)
  28. 28CHAPTER XII. Curvature Of Curves
  29. 29Exercises X. (You are advised to plot the graph of any numerical
  30. 30CHAPTER XIII. Other Useful Dodges
  31. 31Exercises XI. (See page 259 for Answers.)
  32. 32CHAPTER XIV. On True Compound Interest And The Law Of Organic Growth
  33. 33Examples.
  34. 34Exercises XII. (See page 260 for Answers.)
  35. 35Exercises XIII. (See page 260 for Answers.)
  36. 36CHAPTER XV. How To Deal With Sines And Cosines
  37. 37Examples.
  38. 38Exercises XIV. (See page 261 for Answers.)
  39. 39CHAPTER XVI. Partial Differentiation
  40. 40Exercises XV. (See page 263 for Answers.)
  41. 41CHAPTER XVII. Integration
  42. 42Exercises XVI. (See page 264 for Answers.)
  43. 43CHAPTER XVIII. Integrating As The Reverse Of Differentiating
  44. 44Examples.
  45. 45Exercises XVII. (See p. 264 for the Answers.)
  46. 46CHAPTER XIX. On Finding Areas By Integrating
  47. 47Examples.
  48. 48Example.
  49. 49Examples.
  50. 50Examples.
  51. 51Examples.
  52. 52Exercises XVIII. (See p. 265 for Answers.)
  53. 53CHAPTER XX. Dodges, Pitfalls, And Triumphs
  54. 54Examples.
  55. 55Exercises XIX. (See p. 266 for Answers.)
  56. 56CHAPTER XXI. Finding Some Solutions
  57. 57Table Of Standard Forms
  58. 58Exercises I. (p. 24.)
  59. 59Exercises II. (p. 31.)
  60. 60Exercises III. (p. 45.)
  61. 61Exercises IV. (p. 50.)
  62. 62Exercises V. (p. 63.)
  63. 63Exercises VI. (p. 72.)
  64. 64Exercises VII. (p. 74.)
  65. 65Exercises VIII. (p. 88.)
  66. 66Exercises IX. (p. 107.)
  67. 67Exercises X. (p. 115.)
  68. 68Exercises XI. (p. 127.)
  69. 69Exercises XII. (p. 150.)
  70. 70Exercises XIII. (p. 160.)
  71. 71Exercises XIV. (p. 170.)
  72. 72Exercises XV. (p. 177.)
  73. 73Exercises XVI. (p. 187.)
  74. 74Exercises XVII. (p. 202.)
  75. 75Exercises XVIII. (p. 221.)
  76. 76Exercises XIX. (p. 231.)

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