Replete with thought-provoking examples and worked-out exercises, this third edition of Topics in Abstract Algebra is designed in accordance with the new Choice Based Credit System (CBCS) syllabus of Abstract Algebra and Advanced Abstract Algebra prescribed by UGC for all Indian universities at the UG Honours/Advanced level. Students appearing for competitive entrance examinations such as NET, JAM, ISI, IISc., TIFR, NBHM, GATE, SET or MCA will benefit immensely from the carefully selected Solved Problems, about a hundred of which (of MCQ type) have been newly added to the present edition. Interesting insights to the history of mathematics and mathematicians are also provided in the course of discussion to enable the readers understand the concepts in the right perspective.
Dr M K Sen, a noted algebraist, retired from the Department of Pure Mathematics, University of Calcutta, after a rich career spanning more than thirty years of teaching Abstract Algebra.
Dr Shamik Ghosh, a student of Dr Sen, is Professor and Head of the Mathematics Department, Jadavpur University.
Dr Parthasarathi Mukhopadhyay, also a student of Dr Sen, is Associate Professor at the Mathematics Department of Ramakrishna Mission Residential College, affiliated to the University of Calcutta.
Dr Sunil Kumar Maity, yet another student of Dr Sen, is Assistant Professor in the Department of Pure Mathematics, University of Calcutta.
About the Authors
Preface to the Third Edition
Preface to the First Edition
1.3 Congruous Relation
1.5 Binary Operations
2.2 Mathematical Induction
2.3 Prime Numbers
2.4 Linear Diophantine Equations
2.5 Arithmetic Functions
2.6 More on Congruence
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