Book Details

• Author: Vijay K Khanna & S K Bhambri

• Publisher: S Chand And Company Ltd

• Edition: Fifth

• Binding: Paperback

• Number of Pages: 880

• ISBN: 9789354534911

• Languages: English

About the Book:
A Course in Abstract Algebra (LPSPE) is designed for undergraduate and postgraduate students of mathematics, as well as for those preparing for various competitive examinations. This comprehensive text begins with an introduction to Set Theory and Number Theory, before delving into key topics in Algebra. It covers Groups, Rings, Fields, and Linear Algebra in depth. The book includes discussions on subgroups, normal subgroups, finitely generated abelian groups, solvable and nilpotent groups, as well as the theory of rings and fields. Topics such as ideals, Euclidean domains, PIDs, UFDs, and polynomial rings are explored. The field theory section includes algebraic extensions, Galois extensions, and construction by ruler and compass. Additionally, Linear Algebra topics like vector spaces, eigen spaces, diagonalizable operators, and inner product spaces are thoroughly explained. Strongly supported by numerous examples and worked-out problems, the book encourages readers to attempt solving problems independently. New sections include a complete survey of finite groups of order up to 15, a full section on operators in inner product spaces, and a quick recall section to help readers with tricky questions.