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 Ulcers of the Lower Extremity by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Marker-Assisted Plant Breeding: Principles and Practices by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Phenomics in Crop Plants: Trends, Options and Limitations by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Omics for Personalized Medicine by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Mosquito Vectors of Japanese Encephalitis Virus from Northern India by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book A First Course in Ordinary Differential Equations by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Autism and the Family in Urban India by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Parasitic Zoonoses by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Healing Traditions of the Northwestern Himalayas by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Foreign Direct Investment in South Asia by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Reactive Oxygen Species in Plant Biology 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 Intelligent Computing, Communication and Devices by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Principles of Critical Care in Obstetrics by Mahima Ranjan Adhikari, Avishek Adhikari
Cover of the book Biofuels: Greenhouse Gas Mitigation and Global Warming 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