The hypercircle in mathematical physics : a method for the approximate solution of boundary value problems
Author(s)
Bibliographic Information
The hypercircle in mathematical physics : a method for the approximate solution of boundary value problems
Cambridge University Press, 2011, c1957
- : pbk
- : pbk
Available at 6 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
pbk.SYN||1||4(2)200024910980
Note
"First published 1957. First paperback edition 2011."--T.p. verso
"Paperback reissue"--P. [4] of cover
Bibliography: p. 414-418
Includes index
Description and Table of Contents
Description
Originally published in 1957, this book was written to provide physicists and engineers with a means of solving partial differential equations subject to boundary conditions. The text gives a systematic and unified approach to a wide class of problems, based on the fact that the solution may be viewed as a point in function-space, this point being the intersection of two linear subspaces orthogonal to one another. Using this method the solution is located on a hypercircle in function-space, and the approximation is improved by reducing the radius of the hypercircle. The complexities of calculation are illuminated throughout by simple, intuitive geometrical pictures. This book will be of value to anyone with an interest in solutions to boundary value problems in mathematical physics.
Table of Contents
- Preface
- Introduction
- Part I. No Metric: 1. Geometry of function-space without a metric
- Part II. Positive-Definite Metric: 2. Geometry of function-space with positive-definite metric
- 3. The dirichlet problem for a finite domain in the Euclidean plane
- 4. The torsion problem
- 5. Various boundary value problems
- Part III. Indefinite Metric: 6. Geometry of function-space with indefinite metric
- 7. Vibration problems
- Note A. The torsion of a hollow square
- Note B. The Green's tensor or fundamental solution for the equilibrium of an anistropic elastic body
- Bibliography
- Index.
by "Nielsen BookData"