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Algebra : Pure and Applied

Algebra : Pure and Applied - 02 edition

ISBN13: 978-0130882547

Cover of Algebra : Pure and Applied 02 (ISBN 978-0130882547)
ISBN13: 978-0130882547
ISBN10: 0130882542
Edition: 02
Copyright: 2002
Publisher: Prentice Hall, Inc.
Published: 2002
International: No
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Algebra : Pure and Applied - 02 edition

ISBN13: 978-0130882547

Aigli Papantonopoulo

ISBN13: 978-0130882547
ISBN10: 0130882542
Edition: 02
Copyright: 2002
Publisher: Prentice Hall, Inc.
Published: 2002
International: No

Author Bio

Papantonopoulou, Aigli : College of New Jersey

Table of Contents

Preface.

0. Background.

A. Group Theory.

1. Groups.
2. Group Homomorphisms.
3. Direct Products and Abelian Groups.
4. Group Actions.
5. Composition Series.

B. Rings and Fields.

6. Rings.
7. Ring Homomorphisms.
8. Rings of Polynomials.
9. Euclidean Domains.
10. Field Theory.
11. Geometric Constructions.
12. Galois Theory.
13. Historical Notes.

C. Selected Topics.

14. Symmetries.
15. Gröbner Bases.
16. Coding Theory.
17. Boolean Algebras.

Answers and Hints to Selected Exercises.
Bibliography.
Index.

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