Methods of Mathematical Physics, Differential Equations / Edition 1

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Overview

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

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Product Details

  • ISBN-13: 9780471504399
  • Publisher: Wiley
  • Publication date: 1/16/1991
  • Series: Wiley Classics Library Series , #20
  • Edition number: 1
  • Pages: 852
  • Product dimensions: 1.69 (w) x 9.61 (h) x 6.69 (d)

Meet the Author

David Hilbert (1862-1943) received his PhD from the University ofKönigsberg, Prussia (now Kaliningrad, Russia) in 1884. Heremained there until 1895, after which he was appointed Professorof Mathematics at the University of Göttingen. He held thisprofessorship for most of his life. Hilbert is recognized as one ofthe most influential mathematicians of the 19th and early 20thcenturies. His own discoveries alone would have given him thathonour, yet it was his leadership in the field of mathematicsthroughout his later life that distinguishes him. Hilbert's name isgiven to Infinite-Dimensional space, called Hilbert space, used asa conception for the mathematical analysis of the kinetic gastheory and the theory of radiations.

Richard Courant (1888-1972) obtained his doctorate at theUniversity of Göttingen in 1910. Here, he becameHilbert's assistant. He returned to Göttingen to continuehis research after World War I, and founded and headed theuniversity's Mathematical Institute. In 1933, Courant left Germanyfor England, from whence he went on to the United States after ayear. In 1936, he became a professor at the New York University.Here, he headed the Department of Mathematics and was Director ofthe Institute of Mathematical Sciences - which was subsequentlyrenamed the Courant Institute of Mathematical Sciences. Among otherthings, Courant is well remembered for his achievement regardingthe finite element method, which he set on a solid mathematicalbasis and which is nowadays the most important way to solve partialdifferential equations numerically.

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Table of Contents

General Theory of Partial Differential Equations of First Order.

Differential Equations of Higher Order.

Potential Theory and Elliptic Differential Equations.

Hyperbolic Differential Equations in Two IndependentVariables.

Hyperbolic Differential Equations in More than Two IndependentVariables.

Bibliography.

Index.

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