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Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
 
 

Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills (Hardcover)

by Paul J. Nahin (Author) "The nineteenth-century Harvard mathematician Benjamin Peirce (1809-1880) made a tremendous impression on his students ..." (more)
4.0 out of 5 stars See all reviews (1 customer review)
RRP: £20.95
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Product details

  • Hardcover: 404 pages
  • Publisher: Princeton University Press (10 April 2006)
  • Language English
  • ISBN-10: 0691118221
  • ISBN-13: 978-0691118222
  • Product Dimensions: 23.6 x 16 x 3.6 cm
  • Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 229,871 in Books (See Bestsellers in Books)

    Popular in these categories:

    #54 in  Books > Science & Nature > History & Philosophy > History of Mathematics
    #57 in  Books > Science & Nature > Mathematics > Mathematical Theory > Number Theory

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Product Description

Review
Nahin includes gems from all over mathematics, ranging from engineering applications to beautiful pure-mathematical identities. Most of his topics lie just beyond the periphery of a typical mathematics course: they are facts, such as the irrationality of pi, that you may have heard of but never had explained in detail. It would be good to have more books like this.
(othy Gowers,"Nature )

Nahin's tale of the formula e[pi] i+1=0, which links five of the most important numbers in mathematics, is remarkable. With a plethora of historical and anecdotal material and a knack for linking events and facts, he gives the reader a strong sense of what drove mathematicians like Euler.
(Matthew Killeya New Scientist )

What a treasure of a book this is! This is the fourth enthusiastic, informative, and delightful book Paul Nahin has written about the beauties of various areas of mathematics. . . . This book is a marvelous tribute to Euler's genius and those who built upon it and would make a great present for students of mathematics, physics, and engineering and their professors. Paul Nahin's name has been added to my list of those with whom I wouldn't mind being stranded on a desert island--not only would he be informative and entertaining, but he would probably be able to rig a signaling device from sea water and materials strewn along the beach.
(Henry Ricardo MAA Reviews )

The heart and soul of the book are the final three chapters on Fourier series, Fourier integrals, and related engineering. One can recommend them to all applied math students for their historical development and sensible content.
(Robert E. O'Malley, Jr. SIAM Review )

It is very difficult to sum up the greatness of Euler. . . . This excellent book goes a long way to explaining the kind of mathematician he really was.
(Mathematics Today )

The author conducts a fascinating tour through pure and applied mathematics, physics, and engineering, from the ethereal heights of number theory to the earthiness of constructing speech scramblers. . . . [T]his is a marvelous book that will illuminate the mathematical landscape of complex numbers and their many applications.
(Henry Ricardo Mathematics Teacher )

This is a book for mathematicians who enjoy historically motivated mathematical explanations on a high mathematical level.
(Eberhard Knobloch Mathematical Reviews )

It is a 'popular' book, written for a general reader with some mathematical background equivalent to a first-year undergraduate course in the UK.
(Robin Wilson London Mathematical Society Newsletter )

Review
If you ever wondered about the beauties and powers of mathematics, this book is a treasure trove. Paul Nahin uses Euler's formula as the magic key to unlock a wealth of surprising consequences, ranging from number theory to electronics, presented clearly, carefully, and with verve.
(Peter Pesic, St. John's College )

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The nineteenth-century Harvard mathematician Benjamin Peirce (1809-1880) made a tremendous impression on his students. Read the first page
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6 of 6 people found the following review helpful:
4.0 out of 5 stars not for the fearful, 14 Aug 2007
By Stephaan Vanryssen "svr4m" (Ghent; Belgium) - See all my reviews
(REAL NAME)   
Every writer of 'popular' books on math must make a difficult decision about the balance between formulas and stories. Nahin has chosen to take the formulas serious and to reduce the story to witty comments and historical facts about mathematicians accompanying the hard stuff. I must admit it was a bit too daunting for me. So I skipped a lot of the formal treatment and read what I could follow. I finally got an idea why a Fourier transform is so important and for the first time in my life I understood why a Maclaurin or Taylor series is useful and how they came into life.
My friends, who were with me during a week of vacation in the South of France, think I'm raving mad to read this kind of stuff while they were beside the swimming pool. But at least, I won't get melanoma! Thanks Paul!
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