Replete with thought-provoking examples, worked-out exercises and a new section on Automorphism of Groups, this fourth 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 exercises that include MCQs added at the end of each section. Well-supported by precisely laid-out online resources, the book also provides interesting insights to the history of mathematics to enable readers understand the concepts in the right perspective. Market: UG and PG Mathematics
"synopsis" may belong to another edition of this title.
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 in the Department of Mathematics, 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 Associate Professor and Head of the Department of Pure Mathematics, University of Calcutta.
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Soft cover. Condition: New. 4th Edition. Contents: Preface to the Fourth Edition. Preface to the First Edition. 1. Preliminaries. 2. Integers. 3. Groups. 4. Permutation groups. 5. Subgroups. 6. Homomorphisms of groups. 7. Direct product of groups. 8. Symmetry. 9. Finite Abelian groups.10. Sylow theorems.11. Simple groups.12. Rings.13. Ideals and homomorphisms of rings.14. Factorization in integer domains.15. Polynomial rings. Appendices. Bibliography. Index. 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. Seller Inventory # 128483
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