Introduction to Modern Algebra and Its Applications

Nadiya Gubareni (Silesian University of Technology, Poland)

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English

CRC Press
30 May 2022

Algebra; Number theory; Applied mathematics

Summary
Details

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis.

Key Features:

Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications.

Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics.

Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty.

Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.

By: Nadiya Gubareni (Silesian University of Technology Poland)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 600g
ISBN: 9780367609085
ISBN 10: 0367609088
Pages: 384
Publication Date: 30 May 2022
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active