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Calculus Made EasySilvanus P. Thompson

Calculus Made Easy

Silvanus P. Thompson
Inglés
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)

Audiolibros

58 capítulos 10 h 7 min
LibriVox
  1. 1 Preface to the Second Edition, Prologue2:05
  2. 2 Chapter I: To Deliver You from the Preliminary Terrors2:36
  3. 3 Chapter II: On Different Degrees of Smallness11:07
  4. 4 Chapter III: On Relative Growings17:26
  5. 5 Chapter IV: Simplest Cases17:41
  6. 6 Exercises I, Answers to Exercises I4:01
  7. 7 Chapter V: Next Stage. What to Do With Constants17:55
  8. 8 Exercises II, Answers to Exercises II11:30
  9. 9 Chapter VI: Sums, Differences, Products, and Quotients32:31
  10. 10 Exercises III, Answers to Exercises III10:14
  11. 11 Chapter VII: Successive Differentiation5:29
  12. 12 Exercises IV, Answers to Exercises IV6:37
  13. 13 Chapter VIII: When Time Varies - Part 116:13
  14. 14 Chapter VIII: When Time Varies - Part 215:14
  15. 15 Exercises V, Answers to Exercises V6:25
  16. 16 Chapter IX: Introducing a Useful Dodge25:32
  17. 17 Exercises VI and VII, Answers to Exercises VI and VII11:12
  18. 18 Chapter X: Geometrical Meaning of Differentiaton16:27
  19. 19 Exercises VIII, Answers to Exercises VIII5:45
  20. 20 Chapter XI: Maxima and Minima - Part 114:10
  21. 21 Chapter XI: Maxima and Minima - Part 217:14
  22. 22 Exercises IX, Answers to Exercises IX5:43
  23. 23 Chapter XII: Curvature of Curves13:50
  24. 24 Exercises X, Answers to Exercises X7:15
  25. 25 Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions23:51
  26. 26 Exercises XI, Answers to Exercises XI8:21
  27. 27 Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function5:23
  28. 28 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)19:03
  29. 29 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)27:45
  30. 30 Exercises XII, Answers to Exercises XII6:56
  31. 31 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve2:48
  32. 32 Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve21:56
  33. 33 Exercises XIII, Answers to Exercises XIII8:15
  34. 34 Chapter XV: How to Deal With Sines and Cosines - Part 18:57
  35. 35 Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine6:37
  36. 36 Exercises XIV, Answers to Exercises XIV9:01
  37. 37 Chapter XVI: Partial Differentiation - Part 17:36
  38. 38 Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables4:33
  39. 39 Exercises XV, Answers to Exercises XV6:45
  40. 40 Chapter XVII: Integration - Part 15:09
  41. 41 Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves6:43
  42. 42 Exercises XVI, Answers to Exercises XVI2:10
  43. 43 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 19:03
  44. 44 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions1:53
  45. 45 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms9:10
  46. 46 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals5:59
  47. 47 Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals4:21
  48. 48 Exercises XVII, Answers to Exercises XVII6:36
  49. 49 Chapter XIX: On Finding Areas by Integrating - Part 123:42
  50. 50 Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates3:44
  51. 51 Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration3:44
  52. 52 Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means4:04
  53. 53 Exercises XVIII, Answers to Exercises XVIII7:43
  54. 54 Chapter XX: Dodges, Pitfalls, and Triumphs14:52
  55. 55 Exercises XIX, Answers to Exercises XIX5:05
  56. 56 Chapter XXI: Finding Some Solutions - Part 115:00
  57. 57 Chapter XXI: Finding Some Solutions - Part 213:05
  58. 58 Epilogue and Apologue3:25
Mathematics
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