抽象代数(影印版)/海外优秀数学类教材系列丛书

这批教材普遍具有以下特点：(1)基本上是近3年出版的，在国际上被广泛使用，在同类教材中具有相当的权威性；(2)高版次，历经多年教学实践检验，内容翔实准确、反映时代要求；(3)各种教学资源配套整齐，为师生提供了极大的便利；(4)插图精美、丰富，图文并茂，与正文相辅相成；(5)语言简练、流畅、可读性强，比较适合非英语国家的学生阅读。...

Preface .
Etymology
Special Notation
Chapter 1 Things Past
1.1. Some Number Theory
1.2. Roots of Unity
1.3. Some Set Theory
Chapter 2 Groups I
2.1. Introduction
2.2. Permutations
2.3. Groups
2.4. Lagrange's Theorem
2.5. Homomorphisms
2.6. Quotient Groups
2.7. Group Actions
Chapter 3 Commutative Rings I
3.1. Introduction
3.2. First Properties
3.3. Polynomials

Algebra is used by virtually all mathematicians, be they analysts, combinatorists, computer scientists, geometers, logicians, number theorists, or topologists. Nowadays, everyone agrees that some knowledge of linear algebra, groups, and commutative rings is necessary, and these topics are introduced in undergraduate courses. We continue their study. . This book can be used as a text for the first year of graduate algebra, but it is much more than that. It can also serve more advanced graduate students wishing to learn topics on their own; w..