A Course In Abstract Algebra

by Vijay K. Khanna, S K Bhambri

Designed for undergraduate and postgraduate students of mathematics the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from set
theory and number theory. It then goes on to cover groups, rings, vector spaces (Linear Algebra) and fields. The topics under Groups include subgroups, permutation groups, finite abelian groups, Sylow theorems, direct products, group actions, solvable and nilpotent groups. The course in Ring theory covers ideals, embedding of rings, euclidean domains, PIDs, UFDs, polynomial rings, irreducibility criteria, Noetherian rings. The section on vector spaces deals with linear transformations, inner product spaces, dual spaces, eigen spaces, diagonalizable operators etc. Under fields, algebraic extensions, splitting fields, normal and separable extensions, algebraically closed fields, Galois extensions and construction by ruler and compass are discussed. The theory has been strongly supported by numerous examples and worked out problems. There is also plenty of scope for the readers to try and solve problems on their own.

NEW IN THIS EDITION
• Learning Objectives and Summary with each chapter
• A large number of additional worked-out problems and examples
• Alternate proofs of some theorems and lemmas
• Reshuffling/Rewriting of certain portions to make them more reader friendly

880 pages, Paperback

First published April 1, 1993

Reviews

[Azmat]

it is not downloadable in my country pakistan but no always no connection to read

[Sumayya Adnan]

It's not readable in pakistan m trying to read or download it. Even I installed read book app from playstore plz tell how can I read this book

[Sharanya Senthil]

Text Book of Engineering Mathematics, A, Volume II

[Mayank Mainy]

I am very surprised to see this book in your site