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Calculus Made Easy

Calculus Made Easy

oleh Silvanus P. Thompson
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  • Penyedia: Librivox
  • Bahasa: 
    English
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    Tidak dikenal
  • 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)

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Preface to the Second Edition, Prologue
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Chapter I: To Deliver You from the Preliminary Terrors
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Chapter II: On Different Degrees of Smallness
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Chapter III: On Relative Growings
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Chapter IV: Simplest Cases
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Exercises I, Answers to Exercises I
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Chapter V: Next Stage. What to Do With Constants
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Exercises II, Answers to Exercises II
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Chapter VI: Sums, Differences, Products, and Quotients
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Exercises III, Answers to Exercises III
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Chapter VII: Successive Differentiation
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Exercises IV, Answers to Exercises IV
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Chapter VIII: When Time Varies - Part 1
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Chapter VIII: When Time Varies - Part 2
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Exercises V, Answers to Exercises V
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Chapter IX: Introducing a Useful Dodge
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Exercises VI and VII, Answers to Exercises VI and VII
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Chapter X: Geometrical Meaning of Differentiaton
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Exercises VIII, Answers to Exercises VIII
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Chapter XI: Maxima and Minima - Part 1
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Chapter XI: Maxima and Minima - Part 2
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Exercises IX, Answers to Exercises IX
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Chapter XII: Curvature of Curves
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Exercises X, Answers to Exercises X
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Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions
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Exercises XI, Answers to Exercises XI
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Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function
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Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)
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Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)
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Exercises XII, Answers to Exercises XII
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Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve
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Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve
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Exercises XIII, Answers to Exercises XIII
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Chapter XV: How to Deal With Sines and Cosines - Part 1
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Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine
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Exercises XIV, Answers to Exercises XIV
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Chapter XVI: Partial Differentiation - Part 1
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Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables
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Exercises XV, Answers to Exercises XV
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Chapter XVII: Integration - Part 1
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Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves
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Exercises XVI, Answers to Exercises XVI
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals
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Exercises XVII, Answers to Exercises XVII
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Chapter XIX: On Finding Areas by Integrating - Part 1
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Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates
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Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration
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Chapter XIX: On Finding Areas by Integrating - Part 4: On Quadratic Means
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Exercises XVIII, Answers to Exercises XVIII
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Chapter XX: Dodges, Pitfalls, and Triumphs
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Exercises XIX, Answers to Exercises XIX
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Chapter XXI: Finding Some Solutions - Part 1
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Chapter XXI: Finding Some Solutions - Part 2
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Epilogue and Apologue
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