Discrete Algebraic Methods

Volker Diekert|Manfred Kufleitner|Gerhard Rosenberger|Ulrich Hertrampf

ISBN 10: 3110413329 / ISBN 13: 9783110413328

Editore: De Gruyter, 2016

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 . Codice articolo 78585179

Riassunto:

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 structures
Cryptography
Number theoretic algorithms
Polynomial time primality test
Elliptic curves
Combinatorics on words
Automata
Discrete infinite groups

Informazioni sull?autore:

Volker Diekert, Manfred Kufleitner and Ulrich Hertrampf, Stuttgart, Germany; Gerhard Rosenberger, Hamburg, Germany.

Dati bibliografici

Titolo: Discrete Algebraic Methods
Casa editrice: De Gruyter
Data di pubblicazione: 2016
Legatura: Kartoniert / Broschiert
Condizione: New