A HISTORIAN LOOKS BACK: THE CALCULUS AS ALGEBRA AND SELECTED WRITINGS
A HISTORIAN LOOKS BACK: THE CALCULUS AS ALGEBRA AND SELECTED WRITINGS
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A Historian Looks Back
by Judith Grabiner
Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mathematics. This book brings together much of what she has had to say to this audience.
The centerpiece of the book is The Calculus as Algebra: J.L. Lagrange, 17361813. The book describes the achievements, setbacks, and influence of Lagrange's pioneering attempt to reduce the calculus to algebra. Nine additional articles round out the book describing the history of the derivative; the origin of deltaepsilon proofs; Descartes and problem solving; the contrast between the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin's way of doing mathematics and science and his surprisingly important influence; some widely held "myths" about the history of mathematics; Lagrange's attempt to prove Euclid's parallel postulate; and the central role that mathematics has played throughout the history of western civilization.
The development of mathematics cannot be programmed or predicted. Still, seeing how ideas have been formed over time and what the difficulties were can help teachers find new ways to explain mathematics. Appreciating its cultural background can humanize mathematics for students. And famous mathematicians' struggles and successes should interestand perhaps inspireresearchers.
 Brand name: MAA
 Author: Judith V. Grabiner
 ISBN:9780883855270
 282 pp.
 Hardcover
 2010
 Series: Spectrum
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