The Geometry of Physics. An Introduction (Broché)

Theodore Frankel

Note moyenne : | 0 avis
Ce produit n'a pas encore été évalué. Soyez le premier !
  • Cambridge University Press

  • Paru le : 10/08/2002
  • 1 million de livres à découvrir
  • Livraison à domicile à partir de 0,01 €
  • Paiement sécurisé, débit à l'expédition
48,40 €
Neuf - Expédié sous 8 à 14 jours
Livré chez vous entre le 21 décembre et le 26 décembre
ou
Votre note
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modem physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, elasticity theory, the geometry and topology of Kirchhoff 's electric circuit laws, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space ; consequently, the book should be of interest also to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering, and mathematics. It can be used as a course text or for self-study.
  • MANIFOLDS, TENSORS, AND EXTERIOR FORMS
    • Manifolds and Vector Fields
    • Tensors and Exterior Forms
    • Integration of Differential Forms
    • The Lie Derivative
    • The Poincaré Lemma and Potentials
    • Holonomic and Nonholonomic Constraints
  • GEOMETRY AND TOPOLOGY
    • R3 and Minkowski Space
    • The Geometry of Surfaces in R3
    • Covariant Differentiation and Curvature
    • Geodesics
    • Relativity, Tensors, and Curvature
    • Curvature and Topology : Synge's Theorem
    • Betti Numbers and De Rham's Theorem
    • Harmonic Forms
  • LIE GROUPS, BUNDLES, AND CHERN FORMS
    • Lie Groups
    • Vector Bundles in Geometry and Physics
    • Fiber Bundles, Gauss-Bonnet, and Topological Quantization
    • Connections and Associated Bundles
    • The Dirac Equation
    • Yang-Mills Fields
    • Betti Numbers and Covering Spaces
    • Chern Forms and Homotopy Groups.
  • Date de parution : 10/08/2002
  • Editeur : Cambridge University Press
  • ISBN : 0-521-38753-1
  • EAN : 9780521387538
  • Présentation : Broché
  • Nb. de pages : 680 pages
  • Poids : 1.215 Kg
  • Dimensions : 18,0 cm × 25,5 cm × 3,1 cm

Nos avis clients sur decitre.fr


Avis Trustpilot
Theodore Frankel - .
The Geometry of Physics. An Introduction
48,40 €
Haut de page
Decitre utilise des cookies pour vous offrir le meilleur service possible. En continuant votre navigation, vous en acceptez l'utilisation. En savoir plus OK

Ne partez pas tout de suite...

Inscription newsletter