Functions of One Complex Variable I (Graduate Texts in Mathematics 11)

By John B. Conway

Book Overview

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.

• Format: Hardcover
• Language: English
• ISBN: 0387903283
• ISBN13: 9780387903286
• Release Date: January 1978
• Publisher: Springer
• Length: 322 Pages
• Weight: 1.40 lbs.
• Dimensions: 1.1" x 6.4" x 9.3"

Customer Reviews

Excellent Book

I have used this book back in my college days. I am amazed to see such a low rating on this book. This is one of the best books on complex analysis. Mind you this is a Graduate Text in Mathematics. So it is intended to cover lot of ground using clear logical path. I agree to some extent that this book does not have lot of examples but a GTM is supposed to be like that. The way I used/read this book is to supplement it with...

A good read

We're using this book for my graduate level complex analysis course, and over all, I'm pleased with it. Aside from some goofy notation (i.e., an empty box to represent the empty set?), it's pretty well written. The pace of the text isn't too fast or too slow, and there are plenty of exercises of a varying degree of difficulty to help you learn the material. Another nice feature is the price; one can find it for less than...

Very Good quality and speed

I got this book very quickly and it's really very good. Thanks

a good book

An ideal text for a first-year graduate students in mathematics studying Compex Analysis. And this depend how the professor present the material. The exposition is complete and very clear, including a lot of optional material for the curious. which could be very useful to those preparing for a qualifying exam in analysis at the PhD level. Overall, recommend text.

A good book for a beginning graduate student.

I used this book in graduate school to help prepare for one of my Ph.D. qualifying exams. The text discusses beginning theory for functions of one complex variable. There are many examples, and the proofs are clearly stated.