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libcats.org
Foundations of Classical ElectrodynamicsF. W. Hehl, Yuri N. ObukhovThe differential geometric method has been one of the most
fundamental tools for theoretical physicists since its first introduction into special relativity (general relativity) by Albert Einstein in 1905 (1915). Later it has been applied to many research areas, such as fluid mechanics, elastomechanics, thermodynamics, solid state physics, optics, electromagnetism, quantum field theory, etc. As a distinctive feature of traditional classical electrodynamics, this book rests on the metric-free integral formulation of the conservation laws of electrodynamics as represented by exterior differential forms. Therefore the book will be of great interest to graduate students and researchers in mathematics and theoretical physics who work in field theory and general relativity. The book consists of five parts; a short list of references and an author and a subject index are included. Every part ends with a list of references. The authors begin in Part A, as an introductory section, with an elementary presentation of exterior differential forms. The necessary geometric concepts, needed to formulate classical electrodynamics and gravitational theory in the language of differential forms, are explained in Part A and in Part C, too. The axioms of classical electrodynamics, the integral formulations of electric charge and magnetic flux conservation, are presented in Part B. Subsequently, the linear connection and the metric are introduced in Part C. The general framework is completed in Part D by a specific electrodynamic spacetime relation and in Part E by applying electrodynamics to moving continua and to rotating and accelerating observers, for instance. Moreover, a computer algebra program is introduced in the book in a simple way, and some cartoon drawings will add to the tedious mathematics some humor. As to the exposition of the book, we are impressed by illustrations and diagrams, which support our geometrical insight. The mathematical abstraction and physical relevance are displayed neatly and appropriately. It is concise and comprehensive as an introductory textbook for graduate students and a complete reference book for researchers. Thus, there is no doubt that many specialists will be interested in the book under review. The book proves to be a good scientific resource for university libraries as well as for graduate students and researchers working in mathematical physics, field theory, and general relativity. Ссылка удалена правообладателем ---- The book removed at the request of the copyright holder.
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