Classical Electrodynamics and Theory of Relativity
by Ruslan Sharipov
Publisher: Samizdat Press 2003
Number of pages: 163
This book is a manual for the course of electrodynamics and theory of relativity. It is recommended primarily for students of mathematical departments. This defines its style: the author uses elements of vectorial and tensorial analysis, differential geometry, and theory of distributions in it.
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We introduce a relativistic splitting structure as a means to map equations of electromagnetism from curved four-dimensional space-time to 3-dimensional observer's space. We focus on mathematical structures that are motivated by the physical theory.
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A book for the inquisitive reader who wishes to understand the main ideas of special and general theory of relativity. Only a modest understanding of high school mathematics is required. A formal account of special relativity is given in an appendix.
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