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Discrete Algebraic Methods
Arithmetic, Cryptography, Automata and Groups
Sprache: Englisch

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Beschreibung
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

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

Details
Empfohlen (bis): 16
Empfohlen (von): 13
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 342
Inhalt: XII
342 S.
60 s/w Illustr.
60 b/w ill.
ISBN-13: 9783110413328
ISBN-10: 3110413329
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Diekert, Volker/Kufleitner, Manfred/Rosenberger, Gerhard et al
Hersteller: De Gruyter
Abbildungen: 60 b/w ill.
Maße: 19 x 171 x 240 mm
Erscheinungsdatum: 24.05.2016
Gewicht: 0,583 kg
preigu-id: 104204631
Details
Empfohlen (bis): 16
Empfohlen (von): 13
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 342
Inhalt: XII
342 S.
60 s/w Illustr.
60 b/w ill.
ISBN-13: 9783110413328
ISBN-10: 3110413329
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Diekert, Volker/Kufleitner, Manfred/Rosenberger, Gerhard et al
Hersteller: De Gruyter
Abbildungen: 60 b/w ill.
Maße: 19 x 171 x 240 mm
Erscheinungsdatum: 24.05.2016
Gewicht: 0,583 kg
preigu-id: 104204631
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