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Calculus gems : brief lives and memorable mathematics / George F. simmons

Simmons, George F.
Material type: materialTypeLabelBook; Format: print Publisher: New York : McGraw-Hill, 1992Description: 355 p.ISBN: 0-07-057566-5.Subject(s): Matemáticos -- Biografías | Matemáticas -- Historia | Cálculo -- Historia
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Item type Home library Call number Status Loan Date due Barcode Item holds
Matemáticas - 51(092)/SIM/cal (Browse shelf)   Shelving location | Bibliomaps® PREST. LIBROS 3720604092
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Enhanced descriptions from Syndetics:

Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices (Biographical Notes and Variety of Additional Topics) found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, What is mathematics for? and in Simmons' answer, To delight the mind and help us understand the world. The essays are independent of one another, allowing the instructor to pick and choose among them.

Table of contents provided by Syndetics

  • Preface
  • Part A Brief Lives: The ancients
  • The forerunners
  • The early moderns
  • The mature moderns
  • Part B Memorable Mathematics: Answers to problems
  • Index

Reviews provided by Syndetics


Simmons offers two books in one: The first 200 pages survey the lives and importance of 33 mathematicians, from Thales to Weierstrass, who made seminal contributions to calculus and its applications to analysis, physics, number theory, and geometry. The second 150 pages fulfill the promise of the title by treating the reader to 26 true gems of calculus. These are beautiful facts of mathematics, such as the divergence of the sum of reciprocals of all primes, or the classic result of Euler on the sum of the reciprocals of squares. The average mathematically inclined reader (faculty, graduate student, or interested undergraduate) will typically be aware of these results, but will still be amazed seeing the extremely simple and elegant proofs the author collected. Though the material of the first half of the book can be found in other sources (if in different presentation), the elegant and well-chosen examples make the second part essential--this part is a true page-turner. Summing Up: Essential. General readers; upper-division undergraduates through faculty and researchers. M. Bona University of Florida

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