For almost forty-five years, the book ';Modern Algebra' has served the student community as a textbook for introductory courses on the subject. It caters to undergraduate and postgraduate students. The book starts from set theory and covers an advanced course in group theory and ring theory. A detailed study of field theory and its application to geometry is undertaken after a brief and concise account of vector spaces and linear transformations. One of the chapters discusses rings with chain conditions and Hilbert's basis theorem. The book is replete with solved examples to provide ample opportunity to students to comprehend the subject. This edition carries an improvement over all the previous editions inasmuch as it incorporates latest developments and thinking on the subject. Presentation of the subject matter has been modified in line with current thinking. Many results have been rearranged, and the proofs of many theorems rewritten. It also carries more examples now. One very perceptible change is the introduction of Multiple Choice Questions at the end of relevant chapters in keeping with the latest trend of framing questions, especially because this subject is finding place in competitive examinations as well.
