Calculus Made Easy

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By Listen TheBook Posted on May 31, 2023

In Category - Mathematics

Authors: Silvanus P. Thompson In Year : 1914

Book Language: English

Audiobook: Calculus Made Easy

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

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)