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calculus made easy by silvanus thompson [pdf]

Calculus Made Easy by Silvanus P. Thompson, Martin Gardner

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About this book :-
Calculus Made Easy written by Silvanus P. Thompson, Martin Gardner Calculus Made Easy
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 :-
Title: Calculus Made Easy
Edition:
Author(s): Silvanus P. Thompson, Martin Gardner
Publisher: St. Martin's Press
Series:
Year: 1998
Pages: 339
Type: PDF
Language: English
ISBN: 0312185480,9780312185480
Country: UK
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About Author :-
Author Silvanus P. Thompson (1851–1916) 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. Thompson's most enduring publication is his 1910 text Calculus Made Easy, which teaches the fundamentals of infinitesimal calculus, and is still in print. Thompson also wrote a popular physics text, Elementary Lessons in Electricity and Magnetism, as well as biographies of Lord Kelvin and Michael Faraday.
Thompson wrote many books of a technical nature particularly Elementary Lessons in Electricity & Magnetism (1890), Dynamo Electrical Machinery (1896) and the classic Calculus Made Easy which was first published in 1910, and is still in print.
Thompson had many interests including painting, literature, the history of science, and working in his greenhouse. He wrote biographies of Michael Faraday and Lord Kelvin. He also wrote about William Gilbert, the Elizabethan physician, and produced an edition of Gilbert's De Magnete at the Chiswick Press in 1900. In 1912, Thompson published the first English translation of Treatise on Light by Christiaan Huygens.
His scientific library of historical and working books is preserved at the Institution of Electrical Engineers and is a wonderful collection (he was President of the IEE). It includes many classic books on electricity, magnetism and optics. The collection consists of 900 rare books and 2500 nineteenth and early twentieth century titles, with approximately 200 autograph letters.

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Book Contents :-
Calculus Made Easy written by Silvanus P. Thompson, Martin Gardner cover the following topics.
1. To Deliver You from the Preliminary Terrors
2. On Different Degrees of Smallness
3. On Relative Growings
4. Simplest Cases
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. Partial Fractions and Inverse Functions
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 Solutions
22. A Little More about Curvature of Curves
23. How to Find the Length of an Arc on a Curve


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