I dedicate this book to my friend and colleague Arthur Chou. Arthur encouraged me to write this book. I'm sorry that he did not live to see it finished. Arthur was. PDF Drive is your search engine for PDF files. As of today we have 78,, eBooks for you to download for free. No annoying ads, no download limits, enjoy . subject of abstract algebra and no student should go through such a The open source version of this book has received support from the.
This book's organizing principle is the interplay between groups and rings, .. in Abstract Algebra, then the prerequisites for this book would be plain. But this is. Once, when I was a student struggling to understand modern algebra, I was told to view this subject as an intellectual chess game, with conventional moves and. Abstract algebra had its beginnings in attempts to address mathematical . Many of the examples and exercises in this book involve familiar systems of numbers.
Free shipping for individuals worldwide Usually dispatched within 3 to 5 business days. Rent the eBook Rental duration: 1 or 6 month low-cost access online reader with highlighting and note-making option can be used across all devices About this Textbook 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. His main interest lies is in algebra and topology. He has published a number of papers in several Indian and foreign journals including Proceedings of American Mathematical Society and four textbooks. He is a member of American Mathematical Society and on the editorial board of several Indian and foreign journals. He is also the principal investigator of an ongoing project, funded by the Government of India.