作 者:(美)贝莱恩斯坦 著作定 价:79出 版 社:世界图书出版公司出版日期:2012年01月01日页 数:650装 帧:平装ISBN:9787510040658●preface
●chapter 1 topology of the complex plane and holomorphic functions
●1.1. some linear algebra and differential calculus
●1.2. differential forms on an open subset fl of c
●1.3. partitions of unity
●1.4. regular boundaries
●1.5. integration of differential forms of degree 2. the stokes forla
●1.6. homotopy. fundamental group
●1.7. integration of closed i-forms along continuous paths
●1.8. index of a loop
●1.9. homology
●1.10. residues
●1.11. holomorphic functions
●chapter 2 analytic properties of holomorphic functions
●2.1. integral representation forlas
●2.2. the frechet space
●2.3. holomorphic maps
●2.4. isolated singularities and residues
●2.5. residues and the computation of definite integrals
●2.6. other applications of the residue theorem
●部分目录 贝莱恩斯坦编著的《复变导论（英文影印版）》给出了一个全纯函数性质的概述。内容全面，囊括了微分形式、同伦理论、同调理论和全纯函数的解析性质、非同质的Cauchy-Riemann方程的可解性和子调和函数理论，引入层理论、覆盖空间和黎曼曲面。为了帮助读者更好地理解书中的材料，增加了大量不同难度的习题。