From Physical Concept to Mathematical Structure: An Introduction to Theoretical Physics
The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today. Starting from recognized p...
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Format: | Elektronisch E-Book |
Sprache: | English |
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Toronto
University of Toronto Press
[2019]
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Schriftenreihe: | Heritage
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Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
Zusammenfassung: | The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today. Starting from recognized physical concepts, it demonstrates how these have led to the mathematical structures used extensively in physical theory and displays the unity of basic physics seen from the viewpoint of the symmetries of nature as manifested in the sensorial properties of physical quantities and physical laws. The text focuses particularly on the linearity principle. A consideration of the description of physical events as viewed from difference reference frames leads on to a discussion of the concepts of tensors and tensor fields as well as the theory of groups and group representations. As the concept of tensors is developed and broadened into multidimensional spaces, examples from elasticity theory, quantum mechanics, and the structure of elementary particles are considered. The nature of linear theories is illustrated repeatedly, but special attention is given to quantum mechanics and special relativity. The text also introduces non-linear geometry, in the sense of both Gauss and Riemann, and considers Riemannian geometry more extensively, as a prelude to a brief introduction to general relativity. The ten main chapters contain references, footnotes, and problems to assist the reader to pursue any topic further. The volume can serve as a text or supplementary text in advanced undergraduate or graduate programs in theoretical physics and should also prove of interest to practicing physicists, mathematicians, and theoretical chemists and biologists |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) |
Beschreibung: | 1 online resource (420 pages) |
ISBN: | 9781487575823 |
DOI: | 10.3138/9781487575823 |
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Datensatz im Suchindex
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adam_txt | |
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author | Trainor, Lynn E.H Wise, Mark B. |
author_facet | Trainor, Lynn E.H Wise, Mark B. |
author_role | aut aut |
author_sort | Trainor, Lynn E.H |
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dewey-ones | 530 - Physics |
dewey-raw | 530.1/5 |
dewey-search | 530.1/5 |
dewey-sort | 3530.1 15 |
dewey-tens | 530 - Physics |
discipline | Physik |
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doi_str_mv | 10.3138/9781487575823 |
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spelling | Trainor, Lynn E.H. Verfasser aut From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics Lynn E.H. Trainor, Mark B. Wise Toronto University of Toronto Press [2019] © 1979 1 online resource (420 pages) txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today. Starting from recognized physical concepts, it demonstrates how these have led to the mathematical structures used extensively in physical theory and displays the unity of basic physics seen from the viewpoint of the symmetries of nature as manifested in the sensorial properties of physical quantities and physical laws. The text focuses particularly on the linearity principle. A consideration of the description of physical events as viewed from difference reference frames leads on to a discussion of the concepts of tensors and tensor fields as well as the theory of groups and group representations. As the concept of tensors is developed and broadened into multidimensional spaces, examples from elasticity theory, quantum mechanics, and the structure of elementary particles are considered. The nature of linear theories is illustrated repeatedly, but special attention is given to quantum mechanics and special relativity. The text also introduces non-linear geometry, in the sense of both Gauss and Riemann, and considers Riemannian geometry more extensively, as a prelude to a brief introduction to general relativity. The ten main chapters contain references, footnotes, and problems to assist the reader to pursue any topic further. The volume can serve as a text or supplementary text in advanced undergraduate or graduate programs in theoretical physics and should also prove of interest to practicing physicists, mathematicians, and theoretical chemists and biologists In English SCIENCE / Physics / Nuclear bisacsh Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Theoretische Physik (DE-588)4117202-4 s 2\p DE-604 Wise, Mark B. aut https://doi.org/10.3138/9781487575823 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Trainor, Lynn E.H Wise, Mark B. From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics SCIENCE / Physics / Nuclear bisacsh Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
subject_GND | (DE-588)4117202-4 (DE-588)4037952-8 |
title | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics |
title_auth | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics |
title_exact_search | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics |
title_exact_search_txtP | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics |
title_full | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics Lynn E.H. Trainor, Mark B. Wise |
title_fullStr | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics Lynn E.H. Trainor, Mark B. Wise |
title_full_unstemmed | From Physical Concept to Mathematical Structure An Introduction to Theoretical Physics Lynn E.H. Trainor, Mark B. Wise |
title_short | From Physical Concept to Mathematical Structure |
title_sort | from physical concept to mathematical structure an introduction to theoretical physics |
title_sub | An Introduction to Theoretical Physics |
topic | SCIENCE / Physics / Nuclear bisacsh Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
topic_facet | SCIENCE / Physics / Nuclear Mathematical physics Theoretische Physik Mathematische Physik |
url | https://doi.org/10.3138/9781487575823 |
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