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Calculus Made Easy

by Silvanus P. THOMPSON (1851 - 1916)

Exercises VIII, Answers to Exercises VIII

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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Listen next episodes of Calculus Made Easy:
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B) , 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 , Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine , Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables , 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 , 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 , Chapter XXI: Finding Some Solutions - Part 2 , Chapter XI: Maxima and Minima - Part 1 , Chapter XI: Maxima and Minima - Part 2 , Chapter XII: Curvature of Curves , Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions , 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 XIX: On Finding Areas by Integrating - Part 1 , Chapter XV: How to Deal With Sines and Cosines - Part 1 , Chapter XVI: Partial Differentiation - Part 1 , Chapter XVII: Integration - Part 1 , Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves , Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1 , Chapter XX: Dodges, Pitfalls, and Triumphs , Chapter XXI: Finding Some Solutions - Part 1 , Epilogue and Apologue , Exercises IX, Answers to Exercises IX , Exercises X, Answers to Exercises X , Exercises XI, Answers to Exercises XI , Exercises XII, Answers to Exercises XII , Exercises XIII, Answers to Exercises XIII , Exercises XIV, Answers to Exercises XIV , Exercises XIX, Answers to Exercises XIX , Exercises XV, Answers to Exercises XV , Exercises XVI, Answers to Exercises XVI , Exercises XVII, Answers to Exercises XVII , Exercises XVIII, Answers to Exercises XVIII