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 enlarge | Author: Paul J. Nahin
Publisher: Princeton University Press
Category: Book
List Price: $29.95
Buy New: $15.00
You Save: $14.95 (50%)
New (27) Used (13) from $15.00
Rating:  15 reviews
Sales Rank: 68732
Media: Hardcover
Pages: 404
Number Of Items: 1
Shipping Weight (lbs): 0.8
Dimensions (in): 9.3 x 6.3 x 1.4
ISBN: 0691118221
Dewey Decimal Number: 512.788
EAN: 9780691118222
Publication Date: April 10, 2006
Availability: Usually ships in 1-2 business days
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| Customer Reviews:
 Good clear explanation of Fourier series April 11, 2007
Chris R (Virginia)
5 out of 5 found this review helpful
Dr Eulers fabulous formula fits a niche between books for non mathematicians (too simple) and books only understood by mathematicians. It provides the best explanation of Fourier series and integrals that I have read. Its explanation of imaginary numbers is excellent, but not as good as Feynman in his lectures on physics. I reccomend it for those who want to understand how Fourier series work.
A Wonderful Extension January 3, 2007
John L. Hank (Columbus, OH USA)
2 out of 4 found this review helpful
I found this book excellent on all counts. Even the proofs, while not always the simplest or most modern, did, I think, evidence the work of Euler, as this book should do.
An excellence introductory book on advanced mathematics such as Euler's Identity, Irrationalioty, Fourier Series September 21, 2007
Man Kam Tam (Calexico, CA USA)
3 out of 4 found this review helpful
The primary topic of Nahin's "Dr. Euler's Fabulous Formula" is the complex number or more appropriately the Euler's identity: e power to (it) = cos(t) + isin(t). Nahin called this book the second half of his complex number series. The first book in the series is named "An Imaginary Tale: The Story of square root of minus one." The second book is called "Dr. Euler's Fabulous Formula." The primary topics of the second book are: Fourier series, which is covered on Chapter 4; Fourier Integrals on Chapter 5; the application of complex numbers on electronics Chapter 6.
The book has six chapters, which contains both pure and applied mathematics materials. Other than the three chapters mentioned above, the other three chapters are (i) Complex Numbers, (ii) Vector Trips, and (iii) The Irrationality of pi square. Chapter one is about the assortment of non elementary complex numbers such as applying complex number on obtaining the sum of a real series. Chapter three provides a detail proof of the irrationality of the number pi square using Euler's Identity. On the applied side: Chapter two demonstrates the application of complex number on mathematical modeling. Since Nahin is an eminent electrical engineering professor, his book also provides plenty of material on (a) partial differential equations (PDE) such as wave equation on chapter four, and (b) electrical engineering material such as baseband, carrying frequencies, antennas, radio receivers and speech scrambler on chapter six.
This is an excellence introductory book not only on pure complex numbers usage in mathematics such as summing a series but also on the usage of PDE, Fourier series, and Fourier Integral in physics and engineering.
Warning July 14, 2008
bluemountain98 (Meadville, PA)
Don't buy this book without buying the companion i book by Paul Nahin. This is clearly meant as a supplement to the i book. Does not stand alone except maybe in the applications of the formula.
I gave this book 5 stars because I had no basis for judgment. The author clearly states in the beginning of the book that this book has many interesting things he couldn't fit in the first one.
 excellent for fourrier series and fourrier transform exposition March 29, 2007
Arzi (L'Isle d'Abeau, France)
7 out of 7 found this review helpful
A very readable book. Many concepts developed around Euler's magic formula are clearly explained. Including a lucid exposition on the calculus of the sum of classical series such as the value of zeta function for several positive integer values of its argument. Paul Nahin excels in describing the origin and the development of fourrier series and fourrier integrals from Bernoulli to Fourrier and more. Anyone interested in this field will find something interesting in this book to learn. The reason I didn't rank it five stars is that I found explanations often too lengthy while the addition of a chapter on distribution theory could fill the gaps in mathematical rigor and make the transition from fourrier series to fourrier integrals more logical. I should add that the lack of rigor in transition from fourrier series to fourrier integrals, as described by P. Nahin, is inherent to the more fundamental problem of transition from discrete to continuous. Indeed, in mathematics, this is a very slippery terrain. In functional analysis, mathematicians go round this problem by introducing distribution theory. P. Nahin mentions only the name of distribution theory without any decription. I think a chapter on this theory would make the book a must have.
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