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Basic Abstract Algebra

P. B. Bhattacharya, S. K. Jain and S. R. Nagpaul
Publisher: 
Cambridge University Press
Publication Date: 
1994
Number of Pages: 
507
Format: 
Paperback
Edition: 
2
Price: 
48.00
ISBN: 
0521466296
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 Preface to the second edition; Preface to the first edition; Glossary of symbols; Part I. Preliminaries: 1. Sets and mappings; 2. Integers, real numbers, and complex numbers; 3. Matrices and determinants; Part II. Groups: 4. Groups; 5. Normal subgroups; 6. Normal series; 7. Permutation groups; 8. Structure theorems of groups; Part III. Rings and Modules: 9. Rings; 10. Ideals and homomorphisms; 11. Unique factorization domains and euclidean domains; 12. Rings of fractions; 13. Integers; 14. Modules and vector spaces; Part IV. Field Theory: 15. Algebraic extensions of fields; 16. Normal and separable extensions; 17. Galois theory; 18. Applications of Galios theory to classical problems; Part V. Additional Topics: 19. Noetherian and Artinian modules and rings; 20. Smith normal form over a PID and rank; 21. Finitely generated modules over a PID; 22. Tensor products; Solutions to odd-numbered problems; Selected bibliography; Index.

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