基本信息
- 原书名：The Fundamental Theorem of Algebra
- 原出版社： Springer
- 作者： Benjamin Fine Gerhard Rosenberger
- 丛书名： Springer大学数学图书--影印版
- 出版社：清华大学出版社
- ISBN：9787302214793
- 上架时间：2009-12-4
- 出版日期：2009 年11月
- 开本：16开
- 页码：208
- 版次：1-1
- 所属分类：数学 > 代数，数论及组合理论 > 综合
内容简介
目录
Preface .
1 Intriduchon and historian hemarto 1
2 Complex Numbers 5
2.1 Fields and the heal Field 5
2.2 The Complex Number Field 10
2.3 Geometrical hepreselltution of Complex Numbers 12
2.4 POlar FOrm and Euler's ldelltity 14
2.5 DeMoivre's Theorem for POwers and Roots 17
Exercises 19
3 Inlynomds and Complex Anynomall ZI
3.1 The ac of POlynomials over a Field 21
3.2 Divisibility and Unique F8ctorhation of Polynomials 24
3.3 RDotS of POlynomials and F8ctorization 27
3.4 Real and Complex POlynomials 29
3.5 The Fundamental Theorem of Algebra: Proof one 31
3.6 Some Consequences of the Fundamental Theorem 33
Excrcises 34
4 Complex Analysis and Analytic Functions 36
4.1 Complex Functions and Analyticity 36
4.2 The Cauchy-Riemann Equations 41
1 Intriduchon and historian hemarto 1
2 Complex Numbers 5
2.1 Fields and the heal Field 5
2.2 The Complex Number Field 10
2.3 Geometrical hepreselltution of Complex Numbers 12
2.4 POlar FOrm and Euler's ldelltity 14
2.5 DeMoivre's Theorem for POwers and Roots 17
Exercises 19
3 Inlynomds and Complex Anynomall ZI
3.1 The ac of POlynomials over a Field 21
3.2 Divisibility and Unique F8ctorhation of Polynomials 24
3.3 RDotS of POlynomials and F8ctorization 27
3.4 Real and Complex POlynomials 29
3.5 The Fundamental Theorem of Algebra: Proof one 31
3.6 Some Consequences of the Fundamental Theorem 33
Excrcises 34
4 Complex Analysis and Analytic Functions 36
4.1 Complex Functions and Analyticity 36
4.2 The Cauchy-Riemann Equations 41
