Function Theory on Planar Domains: A Second Course in Complex Analysis

by Stephen D. Fisher

Book Overview

Suitable for upper-level undergraduates and graduate students, this treatment of complex analysis focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes... This description may be from another edition of this product.

• Format: Paperback
• Language: English
• ISBN: 0486457680
• ISBN13: 9780486457680
• Release Date: February 2007
• Publisher: Dover Publications
• Length: 290 Pages
• Weight: 0.85 lbs.
• Dimensions: 0.6" x 6.2" x 9.2"

Customer Reviews

functions in the plane

If there is one timeless area of mathematics we teach to our undergraduates and graduates alike, it is functions in the plane: This book brings out the beauty of the subject in a delightful way. The plane is where boundary theory is especially attractive and visual. The book is student friendly and includes a very nice selection of exercises. The first three chapters offer background, history, motivations and hints of applications. A great subject supplementing nicely courses in complex function theory, vector calculus, potential theory, mathematical methods in physics, and more. Selected topics: The Greens function, the Dirichlet problem, capacity, uniformization, self-mappings, Hardy spaces, theory of boundaries, Blaschke products, and H^p spaces. Review by Palle Jorgensen, February 2008.