The Hypercircle in Mathematical Physics

A Method for the Approximate Solution of Boundary Value Problems

By: J. L. Synge

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Paperback | 22 March 2012

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440 Pages

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22.86 x 15.24 x 2.49

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Science Physics Mathematical Physics Science in General Maths for Scientists

Preface
Introduction
No Metric
Geometry of function-space without a metric
Positive-Definite Metric
Geometry of function-space with positive-definite metric
The dirichlet problem for a finite domain in the Euclidean plane
The torsion problem
Various boundary value problems
Indefinite Metric
Geometry of function-space with indefinite metric
Vibration problems
The torsion of a hollow square
The Green's tensor or fundamental solution for the equilibrium of an anistropic elastic body
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

The Hypercircle in Mathematical Physics

A Method for the Approximate Solution of Boundary Value Problems

At a Glance

Paperback

Shipping

How to return your order

Defective items

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