The Geometry of Physics: An Introduction - Couverture souple

Frankel, Theodore

Couverture souple

ISBN 10 : 1107602602 ISBN 13 : 9781107602601

Editeur : Cambridge University Press, 2011

Synopsis

This book provides 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 modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.

A propos du livre

À propos de l?auteur

Theodore Frankel received his PhD from the University of California, Berkeley. He is currently Emeritus Professor of Mathematics at the University of California, San Diego.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 1107602602
• ISBN 13: 9781107602601
• Reliure: Broché
• Numéro d'édition: 3
• Nombre de pages: 750
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France