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

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Yes, you can access Discrete Algebraic Methods by Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas discretas. We have over one million books available in our catalogue for you to explore.

Information

Publisher

De Gruyter

Year

2016

ISBN

9783110413335

Edition

Topic

Matemáticas

Subtopic

Matemáticas discretas

Contents
Preface
1. Algebraic structures
2. Cryptography
3. Number theoretic algorithms
4. Polynomial time primality test
5. Elliptic curves
6. Combinatorics on words
7. Automata
8. Discrete infinite groups
Solutions to exercises
Bibliography
Index