Introduction to Functions of a Complex Variable

1. Auflage 1978
ISBN: 978-0-8247-6501-9
Verlag: CRC Press

Buch, Englisch, 420 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 829 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

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.

Zielgruppe

Professional

Autoren/Hrsg.

Curtiss, J. H.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

Curtiss\, J. H.