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.
Basic Modern Algebra with Applications Free Download
October 6, 2022
You may also like
ALGEBRA MATHEMATICS
Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
April 11, 2024
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
ALGEBRA MATHEMATICS
Algebra for College Students 5th Edition by Margaret L. Lial PDF
February 3, 2024
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
ALGEBRA MATHEMATICS
Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry by Pietro Corvaja PDF
October 18, 2023
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment