Partial differential equations of mathematical physics

書誌事項

Partial differential equations of mathematical physics

by H. Bateman

Cambridge University Press, 1959

  • : pbk

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注記

"First published 1932. First American edition 1944. Paperback edition 1959. Reprinted 1960, 1964, 1969. Re-issued in this digitally printed version 2008"--T.p. verso of 2008 printing

Includes index

Description based on reprinted 1964

内容説明・目次

内容説明

Harry Bateman (1882-1946) was an esteemed mathematician particularly known for his work on special functions and partial differential equations. This book, first published in 1932, has been reprinted many times and is a classic example of Bateman's work. Partial Differential Equations of Mathematical Physics was developed chiefly with the aim of obtaining exact analytical expressions for the solution of the boundary problems of mathematical physics.

目次

  • Preface
  • Introduction
  • 1. The Classical Equations
  • 2. Applications of the integral theorems of green and stokes
  • 3. Two-dimensional problems
  • 4. Conformal Representation
  • 5. Equations in three variables
  • 6. Polar Co-ordinates
  • 7. Cylindrical Co-ordinates
  • 8. Ellipsoidal Co-ordinates
  • 9. Paraboloidal Co-ordinates
  • 10. Toroidal Co-ordinates
  • 11. Diffraction problems
  • 12. Non-linear equations

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