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

P. Moon

ISBN 10: 3540184309 / ISBN 13: 9783540184300

Editore: Springer, Springer Spektrum, 1988

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783540184300

Dati bibliografici

• Titolo: Field Theory Handbook : Including Coordinate Systems, Differential Equations and Their Solutions
• Editore: Springer, Springer Spektrum
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540184309
• ISBN 13: 9783540184300
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 14 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 14 millimetri di profondità
• Peso: 442 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.