Basic Modern Algebra with Applications

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Basic Modern Algebra with Applications by Mahima Ranjan Adhikari, Avishek Adhikari, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mahima Ranjan Adhikari, Avishek Adhikari ISBN: 9788132215998
Publisher: Springer India Publication: December 8, 2013
Imprint: Springer Language: English
Author: Mahima Ranjan Adhikari, Avishek Adhikari
ISBN: 9788132215998
Publisher: Springer India
Publication: December 8, 2013
Imprint: Springer
Language: English

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.                                                                                                                       

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.                                                                                                                       

More books from Springer India

Cover of the book Water and Sanitation in the New Millennium by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Women’s Political Participation in Bangladesh by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Controversies in Oral Cancer by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Design of Canals by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Translational Research in Environmental and Occupational Stress by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Microelectronics, Electromagnetics and Telecommunications by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Stem Cell Therapy for Organ Failure by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Water and Health by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Business Ethics by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Recent Trends in Antifungal Agents and Antifungal Therapy by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Biological Timekeeping: Clocks, Rhythms and Behaviour by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Clinical Rounds in Endocrinology by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Invasive Fungal Rhinosinusitis by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Advanced Computing and Systems for Security by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book The Cloud of Nothingness by Mahima Ranjan Adhikari, Avishek Adhikari
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy