Differential geometry and lie groups for physicists / (Record no. 522574)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03330nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511755590 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160331.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100422s2006||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511755590 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521845076 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521187961 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC20.7.D52 |
| Item number | F43 2006 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15636 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fecko, Marián, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Differential geometry and lie groups for physicists / |
| Statement of responsibility, etc | Marián Fecko. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Differential Geometry & Lie Groups for Physicists |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 697 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 20 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | Preface -- |
| -- | Introduction -- |
| Title | The concept of a manifold -- |
| -- | Vector and tensor fields -- |
| -- | Mappings of tensors induced by mappings of manifolds -- |
| -- | Lie derivative -- |
| -- | Exterior algebra -- |
| -- | Differential calculus of forms -- |
| -- | Integral calculus of forms -- |
| -- | Particular cases and applications of Stokes' theorem -- |
| -- | Poincaré lemma and cohomologies -- |
| -- | Lie groups: basic facts -- |
| -- | Differential geometry on lie groups -- |
| -- | Representations of Lie groups and Lie algebras -- |
| -- | Actions of Lie groups and Lie algebras on manifolds -- |
| -- | Hamiltonian mechanics and symplectic manifolds -- |
| -- | Parallel transport and linear connection of M. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Field theory and the language of forms -- |
| -- | Differential geometry on T M and T* M -- |
| -- | Hamiltonian and Lagrangian equations -- |
| -- | Linear connection and the frame bundle -- |
| -- | Connection on a principal G-bundle -- |
| -- | Gauge theories and connections -- |
| -- | Spinor fields and the Dirac operator -- |
| Miscellaneous information | Appendix |
| Title | A Some relevant algebraic structures -- |
| Miscellaneous information | Appendix B |
| Title | Starring. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Differential. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521845076 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511755590">https://doi.org/10.1017/CBO9780511755590</a> |
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