The Kernal Function and Conformal Mapping
Author:   S. Bergman
Publisher:   American Mathematical Society
Volume:   No. 5
ISBN:  

9780821815052


Pages:   257
Publication Date:   30 December 1950
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

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The Kernal Function and Conformal Mapping


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Overview

The Kernel Function and Conformal Mapping by Stefan Bergman is a revised edition of """"The Kernel Function"""". The author has made extensive changes in the original volume. The present book will be of interest not only to mathematicians, but also to engineers, physicists, and computer scientists. The applications of orthogonal functions in solving boundary value problems and conformal mappings onto canonical domains are discussed; and publications are indicated where programs for carrying out numerical work using high-speed computers can be found.The unification of methods in the theory of functions of one and several complex variables is one of the purposes of introducing the kernel function and the domains with a distinguished boundary. This approach has been extensively developed during the last two decades. This second edition of Professor Bergman's book reviews this branch of the theory including recent developments not dealt with in the first edition. The presentation of the topics is simple and presupposes only knowledge of an elementary course in the theory of analytic functions of one variable.

Full Product Details

Author:   S. Bergman
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 5
Dimensions:   Width: 17.60cm , Height: 1.50cm , Length: 25.30cm
Weight:   0.482kg
ISBN:  

9780821815052


ISBN 10:   0821815059
Pages:   257
Publication Date:   30 December 1950
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Orthogonal functions The kernel function and associated minimum problems The invariant metric and the method of the minimum integral Kernel functions and Hilbert space Representation of the classical domain functions Canonical conformal transformations Orthogonalization over the boundary Variational methods Existence proofs Partial differential equations Functions of two complex variables and pseudoconformal mapping Generalization of potential-theoretical methods and certain subclasses of functions Bibliography Index.

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