External
Elementary Abstract Algebra
This book is intended for a one semester introduction to abstract algebra. We assume that students have some familiarity with basic set theory linear algebra and calculus. But very little of this nature will be needed To a great extent the course is self contained except for the requirement of a certain amount of mathematical maturity. And hopefully the student's level of mathematical maturity will increase as the course progresses.
- Author
- W Edwin Clark
- Publisher
- University of South Florida
- Source
- LibreTexts
- Language
- EN
- Category
- Basic Sciences
Contents· 18 sections
- 01: Chapters
- 1.01: Binary Operations
- 1.02: Introduction to Groups
- 1.03: The Symmetric Groups
- 1.04: Subgroups
- 1.05: The Group of Units
- 1.06: Direct Products of Groups
- 1.07: Isomorphism of Groups
- 1.08: Cosets and Lagrange's Theorem
- 1.09: Introduction to Ring Theory
- 10: Axiomatic Treatment of \(\mathbb{R, N, Z, Q}\) and \(\mathbb{C}\)
- 11: The Quaternions
- 12: The Circle Group
- 02: Appendices
- 2.01: Some Rules of Logic
- 2.02: Functions
- 2.03: Elementary Number Theory
- 2.04: Partitions and Equivalence Relations