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 intricate that it maintains to motivate examine, dialogue, or even the occasional limerick. Dr. Euler's really good Formula stocks the attention-grabbing tale of this groundbreaking formula--long considered as the premiere for mathematical beauty--and indicates why it nonetheless lies on the center of complicated quantity theory.
This e-book is the sequel to Paul Nahin's An Imaginary story: the tale of I [the sq. root of -1], which chronicled the occasions prime 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 ebook, which committed an important quantity of area to the old improvement of complicated numbers, Dr. Euler starts off with discussions of many refined purposes of complicated numbers in natural and utilized arithmetic, and to digital know-how. the subjects coated span an enormous diversity, from a never-before-told story of an stumble upon among the well-known 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 publication is available to any reader with the similar of the 1st years of faculty arithmetic (calculus and differential equations), and it gives you to motivate new purposes 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 wonderful and untarnished through time."
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