Algebra by Michael Artin

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Book Summary of Algebra

The second edition of this classic book on algebra by one of the most respected contemporary authors on the subject has been revised incorporating 20 years feedback. Throughout the text a strong linear algebraic approach is maintained by the author.

Concrete examples precede any abstractions or definitions so that the students’ understanding and interest of the subject are enhanced. Accordingly, the author has included more examples in the new edition. It is an ideal text for courses on the subject.

NEW TO THIS EDITION

• Exercises have been added throughout the book
• New topics have been introduced throughout the text
• A short section on using continuity to deduce facts about linear operators
• Proof that the alternating groups are simple
• Section on spheres
• Section on product rings
• Cauchy’s theorem bounding the roots of a polynomial

Table of Contents

• Preface
• 1. Matrices
• 2. Groups
• 3. Vector Spaces
• 4. Linear Operators
• 5. Applications of Linear Operators
• 6. Symmetry
• 7. More Group Theory
• 8. Bilinear Forms
• 9. Linear Groups
• 10. Group Representations
• 11. Rings
• 12. Factoring
• 13. Quadratic Number Fields
• 14. Linear Algebra in a Ring
• 15. Fields
• 16. Galois Theory
• Appendix
• Bibliography
• Notation
• Index

Details of Book: Algebra

Book:	Algebra
Author:	Michael Artin
ISBN:	8120343298
ISBN-13:	9788120343290 ,  978-8120343290
Binding:	Paperback
Publishing Date:	2011
Publisher:	Prentice-Hall
Edition:	2nd Edition
Number of Pages:	560
Language:	English