This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable. It treats several topics in geometric function theory as well as potential theory in the plane. In particular it covers: conformal equivalence for simply connect
Functions of one complex variable
β Scribed by John B Conway
- Book ID
- 127456687
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 2 MB
- Series
- Graduate Texts in Mathematics - Vol 11
- Edition
- 2nd
- Category
- Library
- ISBN-13
- 9783540903284
No coin nor oath required. For personal study only.
β¦ Synopsis
This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book for classroom use or self-study.
π SIMILAR VOLUMES
Let β be a bounded open set in R n , n ΟΎ 2, with R n Οͺ β a connected set that is not thin at each point of Ρ¨β. Then any solution to a Dirichlet problem for given continuous boundary data on Ρ¨β can be approximated in a simple way by a sum that involves one function f (z) of a single complex variable
A new approach that treats complex analysis in a broad context This book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. It a