The Special Theory of Relativity: A Mathematical Exposition
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1993
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space |
| Physical Description: | 1 Online-Ressource (XII, 232p. 27 illus) |
| ISBN: | 9781461208938 9780387940427 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4612-0893-8 |
Staff View
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| discipline | Physik Mathematik |
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| id | DE-604.BV042419664 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208938 9780387940427 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855081 |
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| physical | 1 Online-Ressource (XII, 232p. 27 illus) |
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| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Universitext |
| spelling | Das, Anadijiban Verfasser aut The Special Theory of Relativity A Mathematical Exposition by Anadijiban Das New York, NY Springer New York 1993 1 Online-Ressource (XII, 232p. 27 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space Physics Cytology Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics Cell Biology Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Spezielle Relativitätstheorie (DE-588)4182215-8 gnd rswk-swf Spezielle Relativitätstheorie (DE-588)4182215-8 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0893-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Das, Anadijiban The Special Theory of Relativity A Mathematical Exposition Physics Cytology Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics Cell Biology Mathematische Physik (DE-588)4037952-8 gnd Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4182215-8 |
| title | The Special Theory of Relativity A Mathematical Exposition |
| title_auth | The Special Theory of Relativity A Mathematical Exposition |
| title_exact_search | The Special Theory of Relativity A Mathematical Exposition |
| title_full | The Special Theory of Relativity A Mathematical Exposition by Anadijiban Das |
| title_fullStr | The Special Theory of Relativity A Mathematical Exposition by Anadijiban Das |
| title_full_unstemmed | The Special Theory of Relativity A Mathematical Exposition by Anadijiban Das |
| title_short | The Special Theory of Relativity |
| title_sort | the special theory of relativity a mathematical exposition |
| title_sub | A Mathematical Exposition |
| topic | Physics Cytology Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics Cell Biology Mathematische Physik (DE-588)4037952-8 gnd Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| topic_facet | Physics Cytology Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics Cell Biology Mathematische Physik Spezielle Relativitätstheorie |
| url | https://doi.org/10.1007/978-1-4612-0893-8 |
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