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Electromagnetism and differential geometry

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0040
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter begins by examining p-forms and the exterior product, as well as the dual of a p-form. Meanwhile, the exterior derivative is an operator, denoted d, which acts on a p-form to give a (p + ... More


Covariant Physics: From Classical Mechanics to General Relativity and Beyond

Moataz H. Emam

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198864899
eISBN:
9780191897313
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864899.001.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This book is an introduction to the modern methods of the general theory of relativity, tensor calculus, space time geometry, the classical theory of fields, and a variety of theoretical physics ... More


Differential Forms

Moataz H. Emam

in Covariant Physics: From Classical Mechanics to General Relativity and Beyond

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198864899
eISBN:
9780191897313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864899.003.0009
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

In this chapter we present the modern theory of differential forms and see how it applies to the classical fields studied in the previous chapter. We apply the theory to Maxwell fields as well as to ... More


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