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A COURSE IN ABSTRACT ALGEBRA  - 5TH EDITION (LPSPE), 5/e

A COURSE IN ABSTRACT ALGEBRA - 5TH EDITION (LPSPE), 5/e

Vikas Publishing
  • 9789354534911
  • 880 pages
  • Paperback
  • 6.5"x9.25" inches
  • Book 450.00
  • 2022

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, Fields and Linear Algebra. The topics under groups include subgroups, normal subgroups, finitely generated abelian groups, group actions, solvable and nilpotent groups. The course in ring theory covers ideals, embedding of rings, Euclidean domains, PIDs, UFDs, polynomial rings, Noetherian (Artinian) rings. Topics of fields include algebraic extensions, splitting fields, normal extensions, separable extensions, algebraically closed fields, Galois extensions, and construction by ruler and compass. The portion on linear algebra deals with Vector spaces, linear transformations, eigen spaces, diagonalizable operators, inner product spaces, dual spaces, operators on inner product spaces etc. 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.

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Vijay K Khanna retired in 2012 as Associate Professor, Kirori Mal College, University of Delhi, after teaching undergraduate and post graduate students for over 43 years. His other publications include Lattices & Boolean Algebras, Solid Geometry and Business Mathematics, all published by Vikas

S K Bhambri also retired in 2012 as Associate Professor, Kirori Mal College, University of Delhi, after teaching undergraduate and postgraduate students for 42 years. He got his doctorate in 1981 from London. He is co-author of Business Mathematics, published by Vikas.