Calculus Made Easy Silvanus P. Thompson
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About this book :-
Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. The original text continues to be available as of 2008 from Macmillan and Co., but a 1998 update by Martin Gardner is available from St. Martin's Press which provides an introduction; three preliminary chapters explaining functions, limits, and derivatives; an appendix of recreational calculus problems; and notes for modern readers. Gardner changes "fifth form boys" to the more American sounding (and gender neutral) "high school students," updates many now obsolescent mathematical notations or terms, and uses American decimal dollars and cents in currency examples.
Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern non-standard analysis and smooth infinitesimal analysis.
The original text is now in the public domain under US copyright law (although Macmillan's copyright under UK law is reproduced in the 2008 edition from St. Martin's Press). It can be freely accessed on Project Gutenberg.
Book Detail :-
This book has following details information.
Title:
Calculus Made Easy Silvanus P. Thompson by Silvanus P. Thompson
Publisher:
Independently published
Series:
FreeCompBooks
Year:
2020
Pages:
273
Type:
PDF
Language:
English
ISBN-10 #:
0312185480
ISBN-13 #:
978-0312185480
Country:
UK
License:
CC BY 3.0
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About Author :-
The author Silvanus P. Thompson
was a professor of physics at the City and Guilds Technical College in Finsbury, England. He was elected to the Royal Society in 1891 and was known for his work as an electrical engineer and as an author.
Book Contents :-
conver the following topics.
1.To deliver you from the Preliminary terrors 2.On Different Degrees of Smallness 3.Simplest Cases 4.On Relative Growing 5.Next Stage. What to do with Constants 6.Sums, Differences, Products and Quotients 7.Successive Differentiation 8.When Time Varies 9.Introducing a Useful Dodge 10.Geometrical Meaning of Differentiation 11.Maxima and Minima 12.Curvature of Curves 13.Other Useful Doges 14.On True Compound Interest and The Law of Organic Growth 15.How to Deal with Sines and Cosines 16.Partial Differentiation 17.Integration 18.Integrating as the Reverse of Differentiating 19.On Finding Areas By Integrating 20.Dodges, Pitfalls and Triumphs 21.Finding Some Solution 22.A little more About Curvature of Curves 23.How to Find the Length of An Arc on Curve
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