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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
Audience:
Tertiary; University or College
Format:
Paperback
Language:
English
Number Of Pages: 478
Published: 22nd June 1989
Publisher: Oxford University Press
Dimensions (cm): 23.4 x 15.6
x 2.7
Weight (kg): 0.78
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