By Paul J. Nahin
I used to imagine math was once no fun
'Cause i could not see the way it was once done
Now Euler's my hero
For I now see why zero
Equals e[pi] i+1
--Paul Nahin, electric engineer
within the mid-eighteenth century, Swiss-born mathematician Leonhard Euler constructed a formulation so leading edge and complicated that it keeps to motivate learn, dialogue, or even the occasional limerick. Dr. Euler's superb Formula stocks the interesting tale of this groundbreaking formula--long considered as the choicest for mathematical beauty--and indicates why it nonetheless lies on the center of advanced quantity theory.
This publication is the sequel to Paul Nahin's An Imaginary story: the tale of I [the sq. root of -1], which chronicled the occasions best as much as the invention of 1 of arithmetic' such a lot elusive numbers, the sq. root of minus one. in contrast to the sooner publication, which committed an important quantity of house to the old improvement of complicated numbers, Dr. Euler starts with discussions of many refined purposes of advanced numbers in natural and utilized arithmetic, and to digital know-how. the themes coated span an enormous variety, from a never-before-told story of an come across among the recognized mathematician G. H. Hardy and the physicist Arthur Schuster, to a dialogue of the theoretical foundation for single-sideband AM radio, to the layout of chase-and-escape problems.
The ebook is out there to any reader with the an identical of the 1st years of faculty arithmetic (calculus and differential equations), and it offers to motivate new functions for future years. Or as Nahin writes within the book's preface: To mathematicians 10000 years as a result, "Euler's formulation will nonetheless be attractive and lovely and untarnished through time."
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