Basic Modern Algebra with Applications Mahima Ranjan Adhikari, Avishek Adhikari (auth.)

The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf’s group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.

Categories:

Mathematics – Algebra

Year:

2014

Edition:

1

Publisher:

Springer India

Language:

english

Pages:

637 / 650

ISBN 10:

8132215990

ISBN 13:

9788132215998

File:

98 MB

# Basic Modern Algebra with Applications 1st edition

$9.99

Basic Modern Algebra with Applications 1st edition

Authors: Mahima Ranjan Adhikari

Year: 2014

Publisher: Springer India

Language: english

ISBN 13: 9788132215998

ISBN 10: 8132215990

Categorie: Mathematics, Algebra

Pages: 637 / 650

Edition: 1

Availability: 5000 in stock

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