00000cam a22000003i 4500 UP-1685594773861497632 Buklod 20071210134858.0 j|||||||||||||| | ta 180228s1979 nyua r |||1 u|eng d 007006571 (iLib)UPBAG-00001246117 DLC BAG rda eng QA 331 A45 1979 Ahlfors, Lars V. (Lars Valerian) 1907-1996 author. Complex analysis an introduction to the theory of analytic functions of one complex variable Lars V. Ahlfors. Third edition. Auckland McGraw-Hill International Book Company [1979] xiv, 331 pages illustrations 21 cm text rdacontent unmediated rdamedia volume rdacarrier International series in pure and applied mathematics International student edition. Includes index. Complex numbers -- Complex functions -- Analytic functions as mappings -- Complex integration -- Series and product developments -- Conformal mapping. Dirichlet's problem -- Elliptic functions -- Global analytic functions. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Analytic functions. FO UPBAG UPBAG-MAIN QA 331 A45 1979 Book