The Hypercircle in Mathematical Physics: A Method for the Approximate Solution of Boundary Value Problems

J. L. Synge

ISBN 10: 1107666554 / ISBN 13: 9781107666559

Published by Cambridge University Press, 2012

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Bibliographic Details

• Title: The Hypercircle in Mathematical Physics: A Method for the Approximate Solution of Boundary Value Problems
• Publisher: Cambridge University Press
• Publication Date: 2012
• Language: English
• ISBN 10: 1107666554
• ISBN 13: 9781107666559
• Binding: Paperback / softback
• Condition: New

About this title

Synopsis

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.

Book Description

This 1957 book was written to help physicists and engineers solve partial differential equations subject to boundary conditions. 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.