Calculus Made Easy

{{Short description|1910 book on infinitesimal calculus by Silvanus P. Thompson}}

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File:Calculus Made Easy - Fig 12.png

File:Calculus Made Easy - Fig 13.png

Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson. 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.{{Cite book |last=Thompson |first=Silvanus P. |url=http://link.springer.com/10.1007/978-1-349-15058-8 |title=Calculus Made Easy |last2=Gardner |first2=Martin |date=1998 |publisher=Macmillan Education UK |isbn=978-0-333-77243-0 |location=London |language=en |doi=10.1007/978-1-349-15058-8}} 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 nonstandard analysis and smooth infinitesimal analysis.

The first edition was published in 1910 and was reprinted four times. A second edition followed in 1914 and received fifteen reprints. A third edition, only slightly modified from the second, was reprinted six times by 1967.{{cite journal|jstor=3613636 |title=none |last=Parsonson |first=J. L. |journal=The Mathematical Gazette |year=1967 |volume=51 |number=375 |pages=62–63}} The original text is now in the public domain under US copyright law (although Macmillan's copyright under UK law is reproduced in the 1998 edition from St. Martin's Press). It can be freely accessed on Project Gutenberg.

Further reading

  • Nature, [http://www.nature.com/nature/journal/v86/n2158/abs/086041c0.html Vol. 86, No. 2158 (March 9, 1911), p. 41]. {{doi|10.1038/086041c0}}. A review of the first edition. [https://archive.org/stream/naturejournal86londuoft#page/41/mode/1up Internet Archive]; [https://books.google.com/books?id=QY5FAAAAYAAJ&pg=PA41&dq=%22calculus%20made%20easy%22 Google Books].
  • Carl Linderholm, College Mathematics Journal, [https://www.jstor.org/stable/2687108 Vol. 31, No. 1 (January, 2000), pp. 77-79]. A review of Silvanus P. Thompson, revised by Martin Gardner, Calculus Made Easy (St. Martin's Press, 1998).

References

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