Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces

Dover Publications Inc.

This text discusses Dirichlet's principle, conformal mapping, and minimal surfaces. more details

Key Features:

Dirichlet's principle states that a function from a domain to a range is a conformal mapping if and only if for every two points in the domain there is a unique point in the range that is closest to both points.
Conformal mapping can be used to map shapes from one coordinate system to another.
Minimal surfaces are surfaces that have the smallest possible surface area.

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Features

Author	Richard Courant
Format	Paperback
ISBN	9780486445526
Publisher	Dover Publications Inc.
Manufacturer	Dover Publications Inc.

Description

This text discusses Dirichlet's principle, conformal mapping, and minimal surfaces.

An examination of approaches to easy-to-understand but difficult-to-solve mathematical problems, this classic text begins with a discussion of Dirichlet's principle and the boundary value problem of potential theory, then proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem.Also explores minimal surfaces with free boundaries and unstable minimal surfaces. 1950 edition.

Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces

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