Isbn: 9783110413328 - discrete algebraic methods: arithmetic, cryptography, automata and groups (de gruyter textbook)

Taschenbuch. Zustand: Neu. 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.…

Discrete Algebraic Methods | Arithmetic, Cryptography, Automata and Groups

Volker/Kufleitner, Manfred/Rosenberger, Gerhard et al Diekert

Sprache: Englisch

Verlag: De Gruyter, 2016

3110413329 / 9783110413328

Serie: Buch 16 von 51 - De Gruyter Textbook

Softcover

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Discrete Algebraic Methods

Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups (De Gruyter Textbook)

Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups (De Gruyter Textbook)

Discrete Algebraic Methods Arithmetic, Cryptography, Automata and Groups

Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups

Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups

Discrete Algebraic Methods | Arithmetic, Cryptography, Automata and Groups