Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions

Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions

by P. Moon, D. E. Spencer

Paperback(2nd ed. 1988)

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Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne­ tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields. In most cases, the field approach has shown itself to be the more powerful.

Product Details

ISBN-13: 9783540184300
Publisher: Springer Berlin Heidelberg
Publication date: 06/13/1988
Edition description: 2nd ed. 1988
Pages: 236
Product dimensions: 6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

I. Eleven coordinate systems.- II. Transformations in the complex plane.- III. Cylindrical systems.- IV. Rotational systems.- V. The vector Helmholtz equation.- VI. Differential equations.- VII. Functions.- Appendix. Symbols.- Author Index.

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