LEADER 03981nam 22005775 450 001 9910300539603321 005 20200701021831.0 010 $a3-662-55579-4 024 7 $a10.1007/978-3-662-55579-8 035 $a(CKB)4100000002892556 035 $a(DE-He213)978-3-662-55579-8 035 $a(MiAaPQ)EBC6311894 035 $a(MiAaPQ)EBC5595502 035 $a(Au-PeEL)EBL5595502 035 $a(OCoLC)1028578773 035 $a(PPN)225550296 035 $a(EXLCZ)994100000002892556 100 $a20180309d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aClassical Field Theory $eOn Electrodynamics, Non-Abelian Gauge Theories and Gravitation /$fby Florian Scheck 205 $a2nd ed. 2018. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 464 p. 63 illus., 1 illus. in color.) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-662-55577-8 327 $aMaxwell?s Equations -- Symmetries and Covariance of the Maxwell Equations -- Maxwell Theory as a Classical Field Theory -- Simple Applications of Maxwell Theory -- Local Gauge Theories -- Classical Field Theory of Gravitation -- Bibliography -- Some Historical Remarks -- Exercises -- Selected Solutions of the Exercises. 330 $aScheck?s successful textbook presents a comprehensive treatment, ideally suited for a one-semester course. The textbook describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell's theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell's theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell's theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity. The new concept of this edition presents the content divided into two tracks: the fast track for master's students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Cleary labeled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Classical Field Theory. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aOptics 606 $aElectrodynamics 606 $aGravitation 606 $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 615 0$aOptics. 615 0$aElectrodynamics. 615 0$aGravitation. 615 14$aClassical Electrodynamics. 615 24$aClassical and Quantum Gravitation, Relativity Theory. 676 $a530.14 700 $aScheck$b Florian$4aut$4http://id.loc.gov/vocabulary/relators/aut$042581 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300539603321 996 $aClassical field theory$91495660 997 $aUNINA