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题名/责任者:

Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin.

版本说明:

First Princeton Science Library edition printing.

出版发行项:

Princeton, NJ : Princeton University Press : Princeton Science Library, c2017.

ISBN:

0691175918

ISBN:

9780691175911:

载体形态项:

xxxii, 380 pages : illustrations ; 22 cm

变异题名:

Doctor Euler's fabulous formula : cures many mathematical ills.

个人责任者:

Nahin, Paul J., author.

中图法分类号:

O174.5

一般附注:

"Ninth printing, and first paperback printing, with a new preface by the author, 2011"--Title page verso.

书目附注:

Includes bibliographical references (pages 347-374) and index.

内容附注:

Preface: "When did math become sexy?" -- Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- Vector trips (some complex plane problems in which direction matters) -- The irrationality of [pi] squared ("higher" math at the sophomore level) -- Fourier series (named after Fourier but Euler was there first--but he was, alas, partially WRONG!) -- Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- Electronics and [the square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- Euler: the man and the mathematical physicist.

摘要附注:

"In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come"--Page 4 of cover.

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