"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. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625-547 BC) through the late 19th century (Weierstrass, 1815-1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.

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The classic book - back in print! Demonstrating the profound connections that join mathematics to the history of philosophy and of Western civilization, and containing nuggets collected from number theory, geometry, science, etc. We see the true purpose of mathematics - 'To delight the mind and help us understand the world.'

George Simmons has the usual academic degrees (CalTech, Chicago, Yale), and taught at several colleges and universities before joining the faculty of Colorado College in 1962, where he is (was) Professor of Mathematics. He is also the author of Introduction to Topology and Modern Analysis (McGraw-Hill, 1963), Differential Equations with Applications and Historical Notes (McGraw-Hill, 1972, 2nd edition 1991), Precalculus Mathematics Mathematics in a Nutshell (Janson Publications, 1981); Wipf & Stock, Eugene, Orego at present), Calculus with Analytic Geometry (McGraw-Hill, 1985, 2nd edition 1996), and with Steven Kranta) Differential Equations: Theory, Technique, Practice (McGraw-Hill 2006). When not working or talking or eatiing or drinking or cooking, Professor Simmons is likely to be traveling (Western and Southern Europe, Turkey, Israel, Egypt, Russia, China, Southeast Asia), playing pocket billiards (pool), or reading (literature, history, biography and autobiography, science, and enough thrillers to achieve enjoyment without guilt).

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Published by
Mcgraw-Hill College
(1992)

ISBN 10: 0070575665
ISBN 13: 9780070575660

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