TY  - BOOK
AU  - Hertrampf,Ulrich
AU  - Kufleitner,Manfred
AU  - Rosenberger,Gerhard
TI  - Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups 
T2  - De Gruyter Textbook
SN  - 9783110416329
AV  - QA162 
U1  - 510 23
PY  - 2016///]
CY  - Berlin, Boston
PB  - De Gruyter
KW  - Algorithms
KW  - Textbooks
KW  - Computer science
KW  - Mathematics
KW  - Cryptography
KW  - Ordered algebraic structures
KW  - MATHEMATICS
KW  - Essays
KW  - bisacsh
KW  - Pre-Calculus
KW  - Reference
KW  - fast
KW  - Diskrete Mathematik
KW  - gnd
KW  - Algebraische Methode
KW  - Electronic books
N1  - Includes bibliographical references and index; Frontmatter --; Preface --; Contents --; 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
N2  - From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for theoretical computer science and is suitable for master students with a basic background in mathematics; 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
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ER  -