Geometry of Classical Fields - Brossura

Binz, Ernst; Sniatycki, Jedrzej; Fischer, Hans

Brossura

ISBN 10: 0486450538 ISBN 13: 9780486450537

Casa editrice: Dover Pubns, 2006

Riassunto

A canonical quantization approach to classical field theory, this text is suitable for advanced undergraduates and graduate students. It is addressed to mathematicians interested in theoretical physics as well as theoretical physicists who use differential geometric methods in their modelling.
The two-part treatment begins with an introduction to the elementary notions of differential geometry, the theory of Lie groups, and manifolds of maps. This overview prepares readers for the terminology used to describe globally defined fields in the second part. The introductory chapters mostly use a coordinate-free language, whereas the calculations in the later chapters employ a coordinate description, a method used somewhat more in applications to physics. Part II concerns a systematic development of a covariant Hamiltonian formulation of field theory, starting from the principle of stationary actions. Each chapter features an individual set of references, and the text concludes with an index and glossary of symbols.

Su questo libro

Contenuti:

Part I. Differential Geometric Preliminaries 1. Manifolds and Lie Groups 2. Vector Bundles 3. Elementary Differential Geometry 4. Principal Bundles and Connections 5. Function Space Part II. Covariant Hamiltonian Dynamics 6. Non-relativistic Dynamics 7. Dynamics of Classical Fields 8. Yang-Mills Theory 9. General Relativity References Index Glossary of symbols

Product Description:

Book by Ernst Binz Jedrzej Sniatycki Hans Fischer

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• ISBN 10: 0486450538
• ISBN 13: 9780486450537
• Rilegatura: Copertina flessibile
• Numero di pagine: 450