Elements of Green's functions and propagation : potentials, diffusion, and waves / G. Barton.

Format:

Book

Author/Creator:

Barton, Gabriel.

Language:

English

Subjects (All):

Green's functions.

Potential theory (Mathematics).

Heat equation.

Wave equation.

Poisson's equation.

Physical Description:

xiii, 465 pages : illustrations ; 24cm

Place of Publication:

Oxford [Oxfordshire] : Clarendon Press ; New York : Oxford University Press, 1980, c1989.

Summary:

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.

Notes:

Includes index.

Bibliography: pages 454-457.

ISBN:

0198519885 :

0198519982

OCLC:

17621836