Abstract Algebra Manual: Problems and Solutions

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Nova Publishers, 2004 - Mathematics - 117 pages
3 Reviews
This is the most current textbook in teaching the basic concepts of abstract algebra. The author finds that there are many students who just memorise a theorem without having the ability to apply it to a given problem. Therefore, this is a hands-on manual, where many typical algebraic problems are provided for students to be able to apply the theorems and to actually practice the methods they have learned. Each chapter begins with a statement of a major result in Group and Ring Theory, followed by problems and solutions. Contents: Tools and Major Results of Groups; Problems in Group Theory; Tools and Major Results of Ring Theory; Problems in Ring Theory; Index.
 

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sir, i have gone through this book .i am in chennai . In which shop in chennai i get this book,pls reply

Contents

Tools and Major Results of Groups
1
12 Results
2
Problems in Group Theory
9
22 Subgroups
13
23 Cyclic Groups
16
24 Permutation Groups
20
25 Cosets and Lagranges Theorem
24
26 Normal Subgroups and Factor Groups
30
Problems in Ring Theory
67
42 Ideals Subrings and Factor Rings
71
43 Integral Domains and Zero Divisors
79
44 Ring Homomorphisms and Ideals
83
45 Polynomial Rings
91
46 Factorization in Polynomial Rings
97
47 Extension Fields and Algebraic Fields
100
48 Finite Fields
105

27 Group Homomorphisms and Direct Product
37
28 Sylow Theorems
50
Tools and Major Results of Ring Theory
59
32 Major Results of Ring Theory
60

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