Abstract Algebra

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Product Specifications

Publisher PHI Learning All Science books by PHI Learning
ISBN 9788120339323
Author: I. H. Sheth
Number of Pages 384
Available
Available in all digital devices
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Abstract Algebra - Page 1 Abstract Algebra - Page 2 Abstract Algebra - Page 3 Abstract Algebra - Page 4 Abstract Algebra - Page 5

Abstract Algebra by I.H.Sheth
Book Summary:

The book’s writing style is intended to foster students–instructor discussion. A unique learning feature of the text is that each concept in abstract algebra is treated in a separate chapter, taking care of the continuity of the subject matter for easy comprehension by the students. Besides presenting the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them, the second edition has been enriched by the inclusion of a new chapter on matrices and their properties and some special subsets of matrices. In addition, proofs of some of the theorems have been revised and some exercises have been changed into solved examples.

Audience of the Book :
This book Useful for Maths Students.
Table of Contents:

Preface 

Preface to First Edition 

Note to the Student 

Notations


Part I: PRELIMINARIES
1. SET THEORY


2. RELATIONS


3. MAPPINGS


4. MATRICES


5. BINARY OPERATIONS


6. INTEGERS


Part II: GROUP THEORY
7. GROUPS


8. SUBGROUPS


9. PERMUTATIONS


10. NORMAL SUBGROUPS


11. ISOMORPHISM OF GROUPS


12. CYCLIC GROUPS


13. HOMOMORPHISM: 1


Part III: RING THEORY
14. RINGS


15. INTEGRAL DOMAINS


16. IDEALS: 1


17. HOMOMORPHISM: 2


18. FIELDS


19. POLYNOMIALS


20. IDEALS: 2


21. FINITE FIELDS


22. UNIQUE FACTORIZATION DOMAIN AND EUCLIDEAN RING


Appendices 
A: De Moivre’s Theorem


B: Three Famous Problems


Supplementary Problems 

References 

Index

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