Foundations of Classical Electrodynamics

Charge, Flux, and Metric

Friedrich W Hehl, Yuri N. Obukhov

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English

Springer-Verlag New York Inc.
23 October 2012

Topology; Applied mathematics; Electricity, electromagnetism & magnetism; Mathematical physics; Applied physics

Series: Progress in Mathematical Physics

"In this book we display the fundamental structure underlying classical electro dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We expect from our readers that they know elementary electrodynamics in the conventional (1 + 3)-dimensional form including Maxwell's equations. More over, they should be familiar with linear algebra and elementary analysis, in cluding vector analysis. Some knowledge of differential geometry would help. Our approach rests on the metric-free integral formulation of the conservation laws of electrodynamics in the tradition of F. Kottler (1922), E. Cartan (1923), and D. van Dantzig (1934), and we stress, in particular, the axiomatic point of view. In this manner we are led to an understanding of why the Maxwell equa tions have their specific form. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro magnetics and of the chapter ""Charge and Magnetic Flux"" of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in cluding R. A. Toupin's Bressanone lectures (1965); for the exact references see the end of the introduction on page 11. ."

By: Friedrich W Hehl, Yuri N. Obukhov
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: Softcover reprint of the original 1st ed. 2003
Volume: 33
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 658g
ISBN: 9781461265900
ISBN 10: 1461265908
Series: Progress in Mathematical Physics
Pages: 113
Publication Date: 23 October 2012
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Foundations of Classical Electrodynamics: Charge, Flux, and Metric

[The authors] ...have stressed the phenomena underlying the axioms chosen and the operational interpretation of the quantities introduced. In this, they have clearly succeeded. -Mathematical Reviews Throughout this book, the rationalized MKS system of units is used, making analysis more intelligible, and there are many diagrams which are of great help in understanding the text. Each part of the book is followed by a copious list of references... Also, in appropriate places there are indications how computer algebra (REDUCE/EXCALC) can be used... The printing and appearance of the book are excellent... It can be warmly recommended. -Zentralblatt Math