Calculus Made Easy
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Silvanus P. Thompson
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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) (10 hr 7 min)
Chapters
Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function
5:23
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Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (…
19:03
Read by Paul E J King
Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (…
27:45
Read by Paul E J King
Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Co…
6:37
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Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions o…
4:33
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Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves
6:43
Read by Bruce Kachuk
Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integrat…
1:53
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to D…
9:10
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Oth…
5:59
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Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Doubl…
4:21
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Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinat…
3:44
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Chapter XIX: On Finding Areas by Integrating - Part 3: Volumes by Integration
3:44
Read by Bruce Kachuk
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