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

Hardcover (Print)
Buy New
Buy New from BN.com
$21.62
Used and New from Other Sellers
Used and New from Other Sellers
from $1.99
Usually ships in 1-2 business days
(Save 93%)
Other sellers (Hardcover)
  • All (30) from $1.99   
  • New (8) from $15.98   
  • Used (22) from $1.99   

Overview

"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

"The range and variety of topics covered here is impressive. I found many little gems that I have never seen before in books of this type. Moreover, the writing is lively and enthusiastic and the book is highly readable."--Des Higham, University of Strathclyde, Glasgow

Read More Show Less

Editorial Reviews

From Barnes & Noble
"Lisez Euler, lisez Euler, c'est notre maître à tous." (Read Euler, read Euler, he is the master of us all.) Pierre-Simon Laplace's tribute to Swiss-born mathematician Leonhard Euler (1707-83) might stand as the gateway to this stand-alone sequel to An Imaginary Tale. With memorable anecdotes, author Paul Nahin introduces readers to numerous advanced applications of complex numbers in pure and applied mathematics and to electronic technology. His writing skills and obvious enthusiasm for his topics convey the deep aesthetics and clarity of mathematical discoveries.
Nature
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.
New Scientist - Matthew Killeya
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.
MAA Reviews - Henry Ricardo
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.
SIAM Review - Robert E. O'Malley
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.
Mathematical Reviews - Eberhard Knobloch
This is a book for mathematicians who enjoy historically motivated mathematical explanations on a high mathematical level.
London Mathematical Society Newsletter - Robin Wilson
It is a 'popular' book, written for a general reader with some mathematical background equivalent to a first-year undergraduate course in the UK.
"Nature othy Gowers

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.
From the Publisher

"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."--Timothy 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

New Scientist
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
MAA Reviews
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
SIAM Review
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.
Mathematics Today
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 Teacher
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
Mathematical Reviews
This is a book for mathematicians who enjoy historically motivated mathematical explanations on a high mathematical level.
— Eberhard Knobloch
London Mathematical Society Newsletter
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
New Scientist
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
Read More Show Less

Product Details

  • ISBN-13: 9780691118222
  • Publisher: Princeton University Press
  • Publication date: 4/10/2006
  • Edition description: New Edition
  • Pages: 404
  • Sales rank: 821,519
  • Product dimensions: 6.40 (w) x 9.30 (h) x 1.50 (d)

Meet the Author

Paul J. Nahin is Professor Emeritus of Electrical Engineering at the University of New Hampshire. He is the author of "Duelling Idiots and Other Probability Puzzlers, When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible," and "An Imaginary Tale: The Story of I [the square root of -1]" (all Princeton).

Read More Show Less

Table of Contents

Preface : "when did math become sexy?"
1 Complex numbers (an assortment of essays beyond the elementary involving complex numbers)
2 Vector trips (some complex plane problems in which direction matters)
3 The irrationality of [pi][superscript 2] ("higher" math at the sophomore level)
4 Fourier series (named after Fourier but Euler was there first - but he was, alas, partially wrong!)
5 Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff)
6 Electronics and [actual symbol not reproducible] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved)
Euler : the man and the mathematical physicist
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)