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The Mathematics of Ciphers: Number Theory and RSA Cryptography
 
 
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The Mathematics of Ciphers: Number Theory and RSA Cryptography [Hardcover]

S.C. Coutinho

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Product Description

Product Description

This book is an introduction to the algorithmic aspects of number theory and its applications to cryptography, with special emphasis on the RSA cryptosys-tem. It covers many of the familiar topics of elementary number theory, all with an algorithmic twist. The text also includes many interesting historical notes.

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There are two fundamental algorithms: the division algorithm and the Euclidean algorithm. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Amazon.com:  6 reviews
30 of 33 people found the following review helpful
Excellent introduction 27 Jun 1999
By A Customer - Published on Amazon.com
Format:Hardcover
This book is a very readable introduction to the theory of numbers. The author manages to concentrate in a relatively short book and with a very clear and pleasant style the material necessary to understand the mathematics underneath the RSA cryptosystem. No previous knowledge of advanced mathematics is assumed. Perhaps not enough for mathematicians, but more than rewarding for the rest of us. It reminds me a bit of the style of M. Gardner. Books on mathematics can be very dull without the style of exposition of Mr. Coutinho. Highly recommended !
3 of 3 people found the following review helpful
all about understanding RSA 18 Jan 2006
By W Boudville - Published on Amazon.com
Format:Hardcover
The book revolves around RSA. The motivation for the book is that the reader wants to understand public/private key cryptography, where this is represented by the seminal RSA algorithm.

The author assumes little previous acquaintance with number theory on your part. He develops his arguments from this minimal background. So modular arithmetic is introduced, and thence such key ideas as groups, primality tests, Chinese Remainder Theorem and, finally, the RSA cryptosystem. Each chapter has a problem set of moderate difficulty.

A maths undergraduate at the sophomore level or higher should be able to benefit from the book.
1 of 1 people found the following review helpful
Good introduction to RSA 3 Sep 2008
By J. Rudin - Published on Amazon.com
Format:Hardcover
I've used this book for teaching the basic theory of RSA cryptography. However, some knowledge of number theory is required in order to get full benefit of the text and exercises. I found "Number Theory and Its History," by Oystein Ore, to be an excellent complement to this text.

(Note that there are a few typographical errors in the exercises, but these are easily spotted.)

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