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Elements of Green's Functions and Propagation : Potentials, Diffusion, and Waves - G. Barton

Elements of Green's Functions and Propagation

Potentials, Diffusion, and Waves

By: G. Barton

Paperback

Published: 22nd June 1989
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This text takes the student with a background in undergraduate physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion, and waves. These are important phenomena in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling the problem. The book is based on the author's extensive teaching experience.

`The whole treatment is marked by clarity and thoughtfulness. The abundant exercises and problems should prove invaluable to the reader, while the section summaries give easy access to the important formulae.' THES

Introduction
The Dirac Delta Function
Ordinary Differential Equations
Partial Differential Equations
Potentials
Poisson's Equation: Introduction
Poisson's Equation: Dirichlet Problems
Poisson's Equation: Neumann Problems
Poisson's Equation: Some Points of Principle
Diffusion
The Diffusion Equation: Unbounded Space
The Diffusion Equation: General Theory
Waves
The Wave Equation: General Theory
The Wave Equation: Unbounded Space
The Wave Equation: Examples
The Holmholtz Equation and Diffraction
The Holmholtz Equation
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780198519980
ISBN-10: 0198519982
Series: Oxford Science Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 478
Published: 22nd June 1989
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 23.2 x 15.4  x 2.7
Weight (kg): 0.78