By Florian Scheck
The booklet describes Maxwell's equations first of their indispensable, at once testable shape, then strikes directly to their neighborhood formula. the 1st chapters conceal all crucial homes of Maxwell's equations, together with their symmetries and their covariance in a latest notation. bankruptcy three is dedicated to Maxwell idea as a classical box conception and to ideas of the wave equation. bankruptcy four bargains with very important purposes of Maxwell idea. It comprises topical matters similar to metamaterials with adverse refraction index and options of Helmholtz' equation in paraxial approximation proper for the outline of laser beams.
Chapter five describes non-Abelian gauge theories from a classical, geometric standpoint, in analogy to Maxwell conception as a prototype, and culminates in an program to the U(2) conception appropriate for electroweak interactions. The final bankruptcy 6 supplies a concise precis of semi-Riemannian geometry because the framework for the classical box idea of gravitation. The bankruptcy concludes with a dialogue of the Schwarzschild answer of Einstein's equations and the classical exams of common relativity (perihelion precession of Mercury, and lightweight deflection by means of the sun).
Textbook beneficial properties: exact figures, labored examples, difficulties and strategies, boxed inserts, highlighted exact subject matters, highlighted vital math etc., valuable summaries, appendix, index.
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Extra resources for Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation (Graduate Texts in Physics)
Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation (Graduate Texts in Physics) by Florian Scheck