Abstract algebra : a geometric approach
著者
書誌事項
Abstract algebra : a geometric approach
Prentice Hall, c1996
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注記
Includes bibliographical references (p. 403-406) and index
内容説明・目次
内容説明
Appropriate for a 1 or 2 term course in Abstract Algebra at the Junior level. This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many unusual applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.
目次
1. The Integers.
2. From the Integers to the Complex Numbers.
3. Polynomials.
4. Homomorphisms and Quotient Rings.
5. Field Extensions.
6. Groups.
7. Group Actions and Symmetry.
8. Non-Euclidean Geometries.
Appendix A. A Logic Review, Sets and Functions, and Equivalence Relations.
Appendix B. Miscellaneous Facts from Linear Algebra.
Supplementary Reading.
Table of Notations.
Index.
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