000 02617cam a2200277zu 4500
001 88838072
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006 m o d
007 cr un
008 250107s2011 fr | o|||||0|0|||eng d
020 _a9780691150376
035 _aFRCYB88838072
040 _aFR-PaCSA
_ben
_c
_erda
100 1 _aNahin, Paul J.
245 0 1 _aDr. Euler's Fabulous Formula
_bCures Many Mathematical Ills
_c['Nahin, Paul J.']
264 1 _bPrinceton University Press
_c2011
300 _a p.
336 _btxt
_2rdacontent
337 _bc
_2rdamdedia
338 _bc
_2rdacarrier
650 0 _a
700 0 _aNahin, Paul J.
856 4 0 _2Cyberlibris
_uhttps://international.scholarvox.com/netsen/book/88838072
_qtext/html
_a
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 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. This book is the sequel to Paul Nahin's An 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." Some images inside the book are unavailable due to digital copyright restrictions.
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