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.
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.
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