Complex Analysis in One Variable (Hardcover)

by Raghavan Narasimhan (Author), Yves Nievergelt (Author) "Proposition 1. Let be open in C and f a function defined on..." (more)
Key Phrases: peaking functions, corona theorem, cohomology form, New York, Acta Math, Exercises Exercise (more...)

Editorial Reviews

Review
"The first part of the book under review represents essentially the material of R. Narasimhan’s 'Complex analysis in one variable' (first edition, 1985). The second part of the book, authored by Y. Nievergelt, consists of exercises and relevant references…. There are notes at the end of each chapter which contain brief remarks on the history of the material presented as well as references to the literature. The exercises of part II give the reader the opportunity to consolidate his knowledge in complex analysis. At the end of this part there are notes for the exercises and references. The book can be highly recommended for a thorough study of complex analysis." —ZENTRALBLATT MATH (Review of the second edition) "The book introduces and makes use of concepts from many different areas of mathematics, especially ideas used in several complex variables and differential geometry. There is also a short…introductory chapter dealing with several complex variables…. The exercises in Part 2 vary from basic to advanced, and provide good practice for the concepts and techniques of the subject…. The choice of topics covered gives an excellent introduction to modern complex analysis. The exposition is well written. All in all, this book is a welcome addition to the list of books presenting a first course in complex analysis." —MATHEMATICAL REVIEWS (Review of the second edition) "Provides a smooth and unintimidating transition from classical complex analysis in the plane to modern abstract theory on manifolds... An excellent, carefully written and thematically rich book which does not overwhelm the reader... Well-suited as a textbook either for sophisticated beginners or as a sequel to a one-semester introductory course." —JAHRESBERICHT DER DMV (Review of the first edition)

Product Description
A textbook presenting complex analysis in one variable in the context of modern mathematics, with connections to several theories and complex variables, including de Rhan theory and real analysis. Includes over 100 pages of exercises, problems, and examples, giving students ample practice. DLC: Functions of complex variables.

Product Details

• Hardcover: 381 pages
• Publisher: Birkhäuser Boston; 2nd edition (December 21, 2000)
• Language: English
• ISBN-10: 0817641645
• ISBN-13: 978-0817641641
• Product Dimensions: 9.2 x 6.8 x 1.1 inches
• Shipping Weight: 1.6 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
• Amazon.com Sales Rank: #1,306,270 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

13 of 13 people found the following review helpful:

5.0 out of 5 stars A great way to begin learning Complex Analysis, June 13, 2001

By A Customer

This book, like each lecture by Narasimhan that I have had the pleasure to hear, exhibits masterful understanding and exposition of the material. His proofs are extremely elegant, and it is always clear where he is going with the material. His writing flows very smoothly, and the addition of exercises to this edition is very helpful in the process of learning to prove things in the various areas covered in the chapter. He also does a great job of allowing one to make the connections between complex analysis and other fields of mathematics, and the notes at the end of each chapter offer interesting insight into the material such as various mathematicians involved in developing the topics and other areas of interest relative to the particular chapter. It is rare that an elementary book on complex analysis goes into further topics like several complex variables and complex manifolds, so if you are interested in learning complex analysis and preparing to extend to further related topics, this is the book for you.