Abstract Algebra
An Introduction
3rd Edition
Will be published approx. on 24. November 2020
Book
Paperback/Softback
616 pages
978-0-357-67087-3 (ISBN)
Description
Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a "groups first" option that enables those who prefer to cover groups before rings to do so easily.
More details
Edition
3rd edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 231 mm
Width: 188 mm
Thickness: 25 mm
Weight
939 gr
ISBN-13
978-0-357-67087-3 (9780357670873)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw). Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw).
Content
1. Arithmetic in Z Revisited.
2. Congruence in Z and Modular Arithmetic.
3. Rings.
4. Arithmetic in F[x].
5. Congruence in F[x] and Congruence-Class Arithmetic.
6. Ideals and Quotient Rings.
7. Groups.
8. Normal Subgroups and Quotient Groups
9. Topics in Group Theory.
10. Arithmetic in Integral Domains.
11. Field Extensions.
12. Galois Theory.
13. Public-Key Cryptography.
14. The Chinese Remainder Theorem.
15. Geometric Constructions.
16. Algebraic Coding Theory.
17. Lattices and Boolean Algebras (available online only).
2. Congruence in Z and Modular Arithmetic.
3. Rings.
4. Arithmetic in F[x].
5. Congruence in F[x] and Congruence-Class Arithmetic.
6. Ideals and Quotient Rings.
7. Groups.
8. Normal Subgroups and Quotient Groups
9. Topics in Group Theory.
10. Arithmetic in Integral Domains.
11. Field Extensions.
12. Galois Theory.
13. Public-Key Cryptography.
14. The Chinese Remainder Theorem.
15. Geometric Constructions.
16. Algebraic Coding Theory.
17. Lattices and Boolean Algebras (available online only).