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

Synge, J. L.

 
9781107666559: The Hypercircle in Mathematical Physics: A Method for the Approximate Solution of Boundary Value Problems

Sinossi

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

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Descrizione del libro

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.

Contenuti

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.

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