書名：Complex Analysis 2/E 作者：STEWART 出版社：Cambridge 出版日期：2018/10/00 ISBN：9781108436793 內容簡介 ●Using simple topological ideas of continuity and connectivity, this textbook explains the differences between real and complex analysis as a consequence of the richer geometry of the complex plane and teaches students to translate visual intuition into rigorous proof ●Introduces a simple formal definition of an extension field containing infinitesimal quantities to show the connection between pure and applied approaches - students grasp the continuing evolution of mathematical ideas ●Includes supplementary material showing in more detail the changes between the previous edition and this one 目錄 0. The origins of complex analysis, and its challenge to intuition 1. Algebra of the complex plane 2. Topology of the complex plane 3. Power series 4. Differentiation 5. The exponential function 6. Integration 7. Angles, logarithms, and the winding number 8. Cauchy's theorem 9. Homotopy versions of Cauchy's theorem 10. Taylor series 11. Laurent series 12. Residues 13. Conformal transformations 14. Analytic continuation 15. Infinitesimals in real and complex analysis 16. Homology version of Cauchy's theorem 17. The road goes ever on...