# Foundations of Classical Electrodynamics (Progress in Mathematical Physics)

## F. W. Hehl; Yuri N. Obukhov

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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. .

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From the Back Cover:

This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the so-called metric-free approach. The fundamental structure of classical electrodynamics is described in the form of six axioms: (1) electric charge conservation, (2) existence of the Lorentz force, (3) magnetic flux conservation, (4) localization of electromagnetic energy-momentum, (5) existence of an electromagnetic spacetime relation, and (6) splitting of the electric current into material and external pieces.

The first four axioms require an arbitrary 4-dimensional differentiable manifold. The fifth axiom characterizes spacetime as the environment in which the electromagnetic field propagates ― a research topic of considerable interest ― and in which the metric tensor of spacetime makes its appearance, thus coupling electromagnetism and gravitation. Repeated emphasis is placed on interweaving the mathematical definitions of physical notions and the actual physical measurement procedures.

The tool for formulating the theory is the calculus of exterior differential forms, which is explained in sufficient detail, along with the corresponding computer algebra programs. Prerequisites for the reader include a knowledge of elementary electrodynamics (with Maxwell's equations), linear algebra and elementary vector analysis; some knowledge of differential geometry would help. Foundations of Classical Electrodynamics unfolds systematically at a level suitable for graduate students and researchers in mathematics, physics, and electrical engineering.

Review:

"[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

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## 1.Foundations of Classical Electrodynamics: Charge, Flux, and Metric (Hardback)

Editore: Birkhauser Boston, Germany (2003)
ISBN 10: 0817642226 ISBN 13: 9780817642228
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Descrizione libro Birkhauser Boston, Germany, 2003. Hardback. Condizione libro: New. 2003 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. . Codice libro della libreria LIE9780817642228

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## 2.Foundations of Classical Electrodynamics: Charge, Flux, and Metric (Progress in Mathematical Physics)

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## 3.Foundations of Classical Electrodynamics. Charge, Flux, and Metric

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Descrizione libro BirkhÇÏuser, 2003. Hardback. Condizione libro: NEW. 9780817642228 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0285737

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## 4.Foundations of Classical Electrodynamics : Charge, Flux, and Metric

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Descrizione libro BirkhÃ¤user, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780817642228_lsuk

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## 5.Foundations of Classical Electrodynamics

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## 6.Foundations of Classical Electrodynamics

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Descrizione libro Birkhauser Boston, 2001. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780817642228

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## 7.Foundations of Classical Electrodynamics (Progress in Mathematical Physics)

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Descrizione libro Birkhäuser, 2003. Hardcover. Condizione libro: New. 2003. Codice libro della libreria DADAX0817642226

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## 8.Foundations of Classical Electrodynamics (Progress in Mathematical Physics)

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Descrizione libro Birkhäuser, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria 0817642226

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## 9.Foundations of Classical Electrodynamics (Progress in Mathematical Physics)

Editore: Birkhäuser (2003)
ISBN 10: 0817642226 ISBN 13: 9780817642228
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Descrizione libro Birkhäuser, 2003. Hardcover. Condizione libro: New. Codice libro della libreria INGM9780817642228

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## 10.Foundations of Classical Electrodynamics: Charge, Flux, and Metric (Hardback)

Editore: Birkhauser Boston, Germany (2003)
ISBN 10: 0817642226 ISBN 13: 9780817642228
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Descrizione libro Birkhauser Boston, Germany, 2003. Hardback. Condizione libro: New. 2003 ed.. Language: English . Brand New Book ***** Print on Demand *****.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. . Codice libro della libreria APC9780817642228

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