Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups

Language: English

Published by De Gruyter Mai 2016, 2016

3110413329 / 9783110413328

Series: Book 16 of 51 - De Gruyter Textbook

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Neuware - The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups ; The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups.

Seller Inventory # 9783110413328

Title
Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups
Author
Volker Diekert
Publisher
De Gruyter Mai 2016
Publication year
2016
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3110413329
ISBN 13
9783110413328
Item weight
583 grams
Dimensions
240x171x19 mm
Series
Book 16 of 51: De Gruyter Textbook

AHA-BUCH GmbH

Einbeck, Germany

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