Dirichlet'S Principle, Conformal Mapping, and Minimal Surfaces

Richard Courant

ISBN 10: 0486445526 / ISBN 13: 9780486445526

Published by Dover Publications Inc., US, 2005

About this Item

Seller Inventory # LU-9780486445526

Bibliographic Details

• Title: Dirichlet'S Principle, Conformal Mapping, and Minimal Surfaces
• Publisher: Dover Publications Inc., US
• Publication Date: 2005
• Language: English
• ISBN 10: 0486445526
• ISBN 13: 9780486445526
• Binding: Paperback
• Condition: New

About this title

Synopsis

Mathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that balances the individuality of mathematical objects with the generality of mathematical methods.
Beginning with a discussion of Dirichlet's principle and the boundary-value problem of potential theory, the text proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem. Succeeding chapters explore the general problem of Douglas and conformal mapping of multiply connected domains, concluding with a survey of minimal surfaces with free boundaries and unstable minimal surfaces.