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 Early Software Reliability Prediction by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Plant Biology and Biotechnology by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Horticultural Nematology by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Statistical Signal Processing by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Biofortification of Food Crops by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Lichens to Biomonitor the Environment by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Novel Bismuth-Oxyhalide-Based Materials and their Applications by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Cities and Sustainability by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Value Addition of Horticultural Crops: Recent Trends and Future Directions by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Business Ethics by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Network Performance and Fault Analytics for LTE Wireless Service Providers by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Biogeogens and Human Health by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book An Introduction to Phytoplanktons: Diversity and Ecology by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Your Passport to a Career in Bioinformatics by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Fertility Control in a Risk Society 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