Functions of One Complex Variable I

John B. Conway

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English

Springer Verlag
01 June 1995

Mathematics & Sciences; Complex analysis, complex variables; Calculus of variations

Series: Graduate Texts in Mathematics

This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as ""An Introduction to Mathe matics"" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.

By: John B. Conway
Imprint: Springer Verlag
Country of Publication: United States
Edition: 2nd ed. 1978. Corr. 7th printing
Volume: v.11
Dimensions: Height: 234mm, Width: 156mm, Spine: 20mm
Weight: 1.440kg
ISBN: 9780387903286
ISBN 10: 0387903283
Series: Graduate Texts in Mathematics
Pages: 336
Publication Date: 01 June 1995
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Reviews for Functions of One Complex Variable I

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. --MathSciNet