Dr. Euler's Fabulous Formula: Cures Many Mathematical IllsI used to think math was no fun Paul Nahin, electrical engineer 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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Reseña de usuario  tjd  LibraryThingWhile lively and wellwritten, this book feels like a rehash of engineerng mathematics. The author is very enthusiastic about presenting long algebraic derivations. It is an advanced book requiring ... Leer reseña completa
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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 
XIII  68 
XV  71 
XVI  74 
XVII  84 
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XXI  95 
XXII  102 
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XXVI  128 
XXVII  139 
XXXVI  253 
XXXVII  263 
XXXVIII  275 
XXXIX  289 
XL  302 
XLI  305 
XLII  309 
XLIII  324 
XLIV  347 
XLV  375 
377  
Otras ediciones  Ver todo
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills Paul J. Nahin Vista previa restringida  2011 
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills Paul J. Nahin No hay vista previa disponible  2011 
Dr. Eulers Fabulous Formula: Cures Many Mathematical Ills Paul J. Nahin No hay vista previa disponible  2017 