Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
In the mideighteenth century, Swissborn 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 formulalong regarded as the gold standard for mathematical beautyand 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 neverbeforetold tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for singlesideband AM radio, to the design of chaseandescape 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." 
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Review: Dr Euler's Fabulous Formula: Cures Many Mathematical Ills
User Review  Nicolas Tupégabet  Goodreadsvery technical and you rarely understand the aim... Read full review
Review: Dr Euler's Fabulous Formula: Cures Many Mathematical Ills
User Review  Alex Borghgraef  GoodreadsLess playful and anecdotal than the title suggests, though the 'life of Euler' bit at the end and the historical references throughout the book fit that bill. But this is basically a solid math book ... Read full review
Contents
IV  13 
VI  19 
VII  27 
VIII  33 
IX  38 
X  43 
XI  53 
XII  63 
XXVIII  163 
XXIX  173 
XXX  181 
XXXI  188 
XXXII  200 
XXXIII  206 
XXXIV  226 
XXXV  246 