Clifford (Geometric) Algebras: With Applications to Physics, Mathematics, and Engineering
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Weitere Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1996
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate classical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and because the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others |
Beschreibung: | 1 Online-Ressource (XVIII, 517 p) |
ISBN: | 9781461241041 9781461286547 |
DOI: | 10.1007/978-1-4612-4104-1 |
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spelling | Baylis, William E. edt Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering edited by William E. Baylis Boston, MA Birkhäuser Boston 1996 1 Online-Ressource (XVIII, 517 p) txt rdacontent c rdamedia cr rdacarrier This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate classical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and because the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others Physics Algebra Global differential geometry Mathematical physics Physics, general Differential Geometry Mathematical Methods in Physics Mathematische Physik Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1995 Banff Alberta gnd-content Clifford-Algebra (DE-588)4199958-7 s Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-4104-1 Verlag 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 | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering Physics Algebra Global differential geometry Mathematical physics Physics, general Differential Geometry Mathematical Methods in Physics Mathematische Physik Clifford-Algebra (DE-588)4199958-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
subject_GND | (DE-588)4199958-7 (DE-588)4037952-8 (DE-588)1071861417 |
title | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering |
title_auth | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering |
title_exact_search | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering |
title_full | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering edited by William E. Baylis |
title_fullStr | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering edited by William E. Baylis |
title_full_unstemmed | Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering edited by William E. Baylis |
title_short | Clifford (Geometric) Algebras |
title_sort | clifford geometric algebras with applications to physics mathematics and engineering |
title_sub | With Applications to Physics, Mathematics, and Engineering |
topic | Physics Algebra Global differential geometry Mathematical physics Physics, general Differential Geometry Mathematical Methods in Physics Mathematische Physik Clifford-Algebra (DE-588)4199958-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
topic_facet | Physics Algebra Global differential geometry Mathematical physics Physics, general Differential Geometry Mathematical Methods in Physics Mathematische Physik Clifford-Algebra Konferenzschrift 1995 Banff Alberta |
url | https://doi.org/10.1007/978-1-4612-4104-1 |
work_keys_str_mv | AT bayliswilliame cliffordgeometricalgebraswithapplicationstophysicsmathematicsandengineering |