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.

Field theory handbook: Including coordinate systems, differential equations, and their solutions

Science & Math

Moon, P.

Spencer, Domina Eberle

Mathematics

Springer, Verlag

Defined by the authors as "a serious attempt to develop electrodynamics on a postulational basis and to define each concept in the most general way," this advanced undergraduate text takes a logical rather than historical approach. The treatment presupposes some knowledge of electricity and magnetism, making substantial use of vector analysis. The first ten chapters employ a nonrelativistic perspective, covering fields, basic concepts, Maxwell's equations, charges with no relative motion and charges in uniform motion, accelerated charges, skin effect, waves, wave guides, and antennas. The final two chapters explore moving systems and relativistic electrodynamics. Numerous figures illuminate the text, and appendixes offer useful information on notation, differential equations, and other topics.

Foundations of Electrodynamics (Dover Books on Electrical Engineering)

Engineering & Transportation

Moon, Parry

Engineering

Dover Publications

The word holor is a term coined by the authors to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors, quaternions, and other hypernumbers. Holors, thus defined, have been known for centuries but each has been developed more or less independently, accompanied by separate nomenclature and theory. This book demonstrates how these complicated subjects can be made simple by using a single notation that applies to all holors, both tensor and nontensor. The authors consider all possible types of holors and develop holor algebra and holor calculus in the most general sense. Thus the reader will learn to develop a new holor that fits the application, rather than forcing an application onto a holor representation that is known but that does not perfectly describe the application. The discussion includes nontensors having no transformation and holors that transform in more complicated ways than allowed with ordinary tensors. This opens up the possibility to devise a holor for a new physical application, without being limited to a few conventional types of holor. This book should establish a method by which students and teachers can learn vector and tensor analysis via a uniform treatment. Graduate students and professionals in engineering, physics. applied mathematics, chemistry, biology, psychology, and other analytical sciences should find this to be a useful and innovative work.

Theory of Holors: A Generalization of Tensors

Moon, Parry Hiram

Cambridge University Press

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