Description du livre Hardcover. Etat : New. Contents: 1. Groups. 2. Finite groups and subgroups. 3. Cyclic groups. 4. Permutation groups. 5. Cosets and Lagrange s theorem. 6. Normal subgroups and factor groups. 7. Group homomorphism and isomorphism. 8. Automorphisms. 9. Direct products. 10. Group actions .11. Sylow theorems. Based on the classroom lectures, this textbook is primarily designed for the senior undergraduate/graduate students of Mathematics. The book covers the senior undergraduate mathematics course, meeting the curriculum requirements of most universities. Different concepts have been explained in a very lucid language with the help of solved examples that would help the students to understand the subject matter without further reference. The subject matter has been presented in a somewhat informal manner assuming the language and tone of a classroom lecture putting the readers at ease. This book could be used for self- study as well as for a course text, and so full details of almost all proofs are included along with hundreds of solved problems, to give ample guidance in understanding abstract notions. The solved problems are interspersed throughout the text at places where they naturally arise, making the book ideal for self-study. The proofs are precise and complete, backed up by chapter end problems, with just the right level of difficulty. A common thread runs through the entire book, tying each chapter to the next - the unifying thread being the treatment of the concept of symmetry of objects that do indeed satisfy the definition of a group. N� de r�f. du vendeur 137425A

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