000 02271 a2200217 4500
020 _a9783662555774
040 _cIIT Kanpur
041 _aeng
082 _a530.14
_bSch21c2
100 _aScheck, Florian
245 _aClassical field theory
_bon electrodynamics, non-Abelian Gauge theories and gravitation
_cFlorian Scheck
250 _a2nd ed.
260 _bSpringer
_c2018
_aGermany
300 _axv, 464p.
440 _aGraduate texts in physics
490 _a/ edited by Kurt H. Becker
520 _aScheck’s successful textbook presents a comprehensive treatment, ideally suited for a one-semester course. The textbook describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell's theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell's theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell's theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity. The new concept of this edition presents the content divided into two tracks: the fast track for master's students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Cleary labeled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Classical Field Theory.
650 _aElectrodynamics
650 _aMathematical physics
942 _cBK
999 _c558945
_d558945