Fundamentals of Abstract Algebra by D. S. Malik, John M. Mordeson, M. K. Sen
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About this book :-
This is a comprehensive textbook designed for advanced undergraduate courses in abstract algebra. This textbook is designed for students learning abstract algebra. It covers key topics like groups, rings, and fields, providing clear definitions, theorems, proofs, and examples. The book includes numerous exercises to help students practice and understand the material.
The book also provides historical background on the development of abstract algebra and profiles of notable mathematicians. It is suitable for self-study and known for its detailed explanations and comprehensive coverage of the subject.
Book Detail :-
This book has following details information.
Title:
Fundamentals of Abstract Algebra by D. S. Malik, John M. Mordeson, M. K. Sen by NA
Publisher:
Creighton University
Series:
eBooksDirectory
Year:
2007
Pages:
660
Type:
PDF
Language:
English
ISBN-10 #:
0070400350
ISBN-13 #:
978-0070400351
Country:
Pakistan
License:
CC BY-NC-ND 4.0
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Sets, Relations, and Integers
2. Introduction to Groups
3. Permutation Groups
4. Subgroups and Normal Subgroups
5. Homomorphisms and Isomorphisms of Groups
6. Direct Product of Groups
7. Sylow Theorems
8. Solvable and Nilpotent Groups
9. Finitely Generated Abelian Groups
10. Introduction to Rings
11. Subrings, Ideals, and Homomorphisms
12. Ring Embeddings 318
12.1 Embedding of Rings
13. Direct Sum of Rings
14. Polynomial Rings
15. Euclidean Domains
16. Unique Factorization Domains
17. Maximal, Prime, and Primary Ideals
18. Noetherian and Artinian Rings
19. Modules and Vector Spaces
20. Rings of Matrices
21. Field Extensions
22. Multiplicity of Roots
23. Finite Fields
24. Galois Theory and Applications
25. Geometric Constructions
26. Coding Theory
27. Grobner Bases
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