Topology and Geometry for Physics

Helmut Eschrig

ISBN 10: 3642146996 / ISBN 13: 9783642146992

Published by Springer, Berlin, Springer Berlin Heidelberg, Springer, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.

Seller Inventory # 9783642146992

Bibliographic Details

• Title: Topology and Geometry for Physics
• Publisher: Springer, Berlin, Springer Berlin Heidelberg, Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 3642146996
• ISBN 13: 9783642146992
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 236W x 157H x 22D millimeters 236 millimeters width by 157 millimeters height by 22 millimeters depth
• Weight: 596 grams

About this title

Synopsis

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.