Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |  | Author: Manfred Schroeder
Publisher: Springer
List Price: $99.00
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Rating:  2 reviews
Sales Rank: 1085106
Media: Hardcover
Edition: 5th ed.
Pages: 432
Number Of Items: 1
Shipping Weight (lbs): 2
Dimensions (in): 9.5 x 6.3 x 1.1
ISBN: 3540852972
Dewey Decimal Number: 512.7
EAN: 9783540852971
ASIN: 3540852972
Publication Date: December 12, 2008
Availability: Usually ships in 1-2 business days
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| Also Available In:
| • | Hardcover - Number theory in science and communication: With applications in cryptography, physics, biology, digital information, and computing (Springer series in information sciences) | | • | Paperback - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) | | • | Hardcover - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Biology, Digital Information, and Computing | | • | Paperback - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity | | • | Hardcover - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) | | • | Paperback - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) | | • | Digital - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) | | • | Hardcover - Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) |
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| Editorial Reviews:
Product Description
"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics. It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography.From reviews of earlier editions: 'I continue to find [Schroeder's] "Number Theory" a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor' - Philip Morrison ("Scientific American"). 'A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor - useful mathematics outside the formalities of theorem and proof' - Martin Gardner.
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| Customer Reviews:
Good mix of theory and mathematics February 28, 2009
Sameer Yami (Silicon Valley, CA, USA)
This book provides good examples and has a good mix of number theory and the associated mathematics. Very useful for people interested in cryptography and number theory in general.
However, this book is not easy to read and requires some effort to digest the given information.
could have included some problems January 29, 2007
W Boudville (Terra, Sol 3)
2 out of 2 found this review helpful
[A review of the 4th Edition 2006.]
It is possible when teaching number theory to drown the reader in theorems, lemmas and corrolaries. So much so that she can get lost in the thickets and fail to appreciate the broad motivating ideas. Schroeder refrains from such a presentation. He is certainly rigorous enough, when needed. But the book is a graceful exposition. Explaining key concepts and proving enough along the way to satisfy most readers.
So Euler, Fermat, Gauss and other luminaries make their appearance at numerous points. Along with the classic and still unproven Goldbach Conjecture. Many readers will probably turn to the sections on modern applications, notably in cryptography. The explanation of the public key algorithm is elegant.
Other applications include making random numbers. Something quite subtle and difficult to do well. And vitally necessary for cryptography.
The last chapter on fractals and self similar transformations is accompanied by a few pretty pictures of fractals and Julia sets in the plane. Though by now most readers must be familiar with fractal art.
The only drawback of the book is the lack of problems. Pity, as it reduces the book's suitability as an undergrad text.
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