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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 232 mm
Breite: 179 mm
Dicke: 20 mm
Gewicht
ISBN-13
978-0-13-319831-7 (9780133198317)
Schweitzer Klassifikation
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.
