
Introduction to Modern Algebra and Its Applications
Nadiya Gubareni(Author)
CRC Press
1st Edition
Published on 15. November 2020
Book
Hardback
384 pages
978-0-367-82091-6 (ISBN)
Description
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 Groebner 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.
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.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
10 s/w Tabellen, 7 s/w Abbildungen, 1 farbige Abbildung
10 Tables, black and white; 1 Illustrations, color; 7 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
890 gr
ISBN-13
978-0-367-82091-6 (9780367820916)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Nadiya Gubareni
Introduction to Modern Algebra and Its Applications
Book
05/2022
1st Edition
CRC Press
€103.80
Shipment within 15-20 days

Nadiya Gubareni
Introduction to Modern Algebra and Its Applications
E-Book
06/2021
1st Edition
CRC Press
€94.99
Available for download

Nadiya Gubareni
Introduction to Modern Algebra and Its Applications
E-Book
06/2021
1st Edition
CRC Press
€94.99
Available for download
Person
Nadiya Gubareni, Associate Professor of Silesian University of Technology, Poland
Content
Introduction. Elements of Number Theory. Elements of the Theory of Groups. Examples of Groups. Elements of the Ring Theory. Polynomial Rings. Elements of the Theory of Fields. Examples of Applications. Polynomials in Several Variables. Finite Fields and their Applications. Finite Dimensional Algebras. Applications of Quarternions and Octionions.