代數基本定理（影印版）

Preface
1 Introduction and Historical Remarks Complex Numbers
　2.1 Fields and the Real Field
　2.2 The Complex Number Field
　2.3 Geometrical Representation of Complex Numbers
　2.4 Polar Form and Euler's Identity
　2.5 DeMoivre's Theorem for Powers and Roots Exercises
3 Polynomials and Complex Polynomials
　3.1 The King of Polynomials over a Field
　3.2 Divisibility and Unique Factorization of Polynomials
　3.3 Roots of Polynomials and Factorization
　3.4 Real and Complex Polynomials
　3.5 The Fundamental Theorem of Algebra: Proof One
　3.6 Some Consequences of the Fundamental Theorem Exercises
4 Complex Analysis and Analytic Functions
　4.1 Complex Functions and Analyticity
5 Complex Integration and Cauchy's Theorem
6 Fields and Field Extensions
7 Galois Theory
8 Topology and Topological Spaces
Algebraic Topology and the Final Proof
Appendix A: A Version of Gauss's Original Proof
Appendix B: Cauchy's Theorem Revisited
Appendix C: Three Additional Complex Analytic Proofs of the Fundamental Theorem of Algebra
Appendix D: Two More Topological Proofs of the Fundamental Theorem of Algebra
Bibliography and References
Index