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Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces

  • Textbook
  • © 1950

Overview

Authors:
  1. Richard Courant

    1. Institute for Mathematics and Mechanics, New York University, New Rochelle, USA

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Table of contents (7 chapters)

  1. Front Matter

    Pages N1-xi
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  2. Introduction

    • Richard Courant
    Pages 1-4

  3. Dirichlet’s Principle and the Boundary Value Problem of Potential Theory

    • Richard Courant
    Pages 5-43

  4. Conformal Mapping on Parallel-Slit Domains

    • Richard Courant
    Pages 45-93

  5. Plateau’s Problem

    • Richard Courant
    Pages 95-139

  6. The General Problem of Douglas

    • Richard Courant
    Pages 141-166

  7. Conformal Mapping of Multiply Connected Domains

    • Richard Courant
    Pages 167-198

  8. Minimal Surfaces with Free Boundaries and Unstable Minimal Surfaces

    • Richard Courant
    Pages 199-243

  9. Back Matter

    Pages 245-332
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Keywords

Authors and Affiliations

  • Institute for Mathematics and Mechanics, New York University, New Rochelle, USA

    Richard Courant

Bibliographic Information

  • Book Title: Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces

  • Authors: Richard Courant

  • DOI: https://doi.org/10.1007/978-1-4612-9917-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: R. Courant 1950

  • Softcover ISBN: 978-1-4612-9919-6Published: 06 November 2011

  • eBook ISBN: 978-1-4612-9917-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XI, 332

  • Topics: Differential Geometry

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