Introduction to Functions of a Complex Variable / Edition 1

by J. H. Curtiss

Overview

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.

Product Details

ISBN-13:	9780824765019
Publisher:	Taylor & Francis
Publication date:	04/01/1978
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #44
Pages:	420
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

J. H. Curtiss (d. 1977) was Professor Emeritus of Mathematics at the University of Miami, Coral Gables, Florida. He received his Ph.D. from Harvard University (1935), and taught at Cornell University (1936-1943) and the University of Miami (1959-1975). Dr. Curtiss' research interests included functional approximation on the complex domain, approximations by harmonic polynomials, problems in mathematical statistics, and the theory of numerical analysis. He published more than forty research papers, expository papers, and reviews in the professional literature. He was a fellow of the American Association for the Advancement of Science, a member of the American Mathematical Society, and a fellow of the Institute of Mathematical Statistics. He was Executive Director of the A MS from 1953 to 1959.

Table of Contents

1. The Real and Complex Number Fields 2. Sequences and Series 3. Sequences and Series of Complex-Valued Functions 4. Introduction to Power Series 5. Some Elementary Topological Concepts 6. Complex Differential Calculus 7. The Exponential and Related Functions 8. Complex Line Integrals 9. Introduction to the Cauchy Theory 10. Zeros and Isolated Singularities of Analytic Functions 11. Residues and Rational Functions 12. Approximation of Analytic Functions by Rational Functions, and Generalizations of the Cauchy Theory 13. Conformal Mapping