Download E-books Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills PDF

By Paul J. Nahin

I used to imagine math used to be 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 encourage study, dialogue, or even the occasional limerick. Dr. Euler's great Formula stocks the interesting tale of this groundbreaking formula--long considered as the optimal for mathematical beauty--and indicates why it nonetheless lies on the middle of complicated 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 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 publication, which committed an important quantity of house to the old improvement of complicated numbers, Dr. Euler starts off with discussions of many subtle functions of advanced numbers in natural and utilized arithmetic, and to digital know-how. the subjects coated span a massive diversity, from a never-before-told story of an come 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 on the market to any reader with the an identical of the 1st years of school arithmetic (calculus and differential equations), and it gives you to motivate new purposes for years yet to come. Or as Nahin writes within the book's preface: To mathematicians 10000 years consequently, "Euler's formulation will nonetheless be appealing and beautiful and untarnished via time."

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