000			02468cam a22002534a 4500
001			034716
005			20231009192622.0
008			092904s2006 njua b 001 0 eng
010			_a2005056550
020			_a9780691118222
042			_apcc
050	0	0	_aQA255 _b.N339 2006
082	0	0	_a512.7 NAH
100	1		_aNahin, Paul J.
245	1	0	_aDr. Euler's fabulous formula _b: cures many mathematical ills _c/ Paul J. Nahin
260			_aPrinceton, NJ _b: Princeton University Press _c, c2006.
300			_axx, 380 p. _b: ill. _c; 25 cm.
504			_aIncludes bibliographical references and index.
520			_aI used to think math was no fun 'Cause I couldn't see how it was done Now Euler's my hero For I now see why zero Equals e [pi] i +1 --Paul Nahin, electrical engineer 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 Formulashares 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.This book is the sequel to Paul Nahin'sAn Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems.The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, "Euler's formula will still be beautiful and stunning and untarnished by time."
650		0	_aNumbers, complex
650		0	_aEuler's numbers.
650		0	_aMathematics _x--History
942			_cMO
999			_c244775 _d244775