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.

Abstract and Geometric Algebra Mathematics

Tác giả: W Edwin Clark
Nhà xuất bản: University of South Florida
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 18 mục

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