Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups (De Gruyter Textbook) free ebook download.

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

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Mathematics

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Author(s):	Volker Diekert

Date:	2021	Format:	epub	Language:	English	ISBN/ASIN:	3110413329
Pages:	356	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	2/13/2022 9:54:07 PM

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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
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Tags: Algebraic Arithmetic Automata Cryptography Discrete Groups Gruyter Methods Textbook

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