New Foundations for Classical Mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Fundamental Theories of Physics
99 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics |
| Beschreibung: | 1 Online-Ressource (XIV, 706 p) |
| ISBN: | 9780306471223 9780792355144 |
| DOI: | 10.1007/0-306-47122-1 |
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Datensatz im Suchindex
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| isbn | 9780306471223 9780792355144 |
| language | English |
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| spelling | Hestenes, David Verfasser aut New Foundations for Classical Mechanics by David Hestenes Second Edition Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIV, 706 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics 99 (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics Physics Geometry, algebraic Systems theory Mechanics Astronomy Systems Theory, Control Algebraic Geometry Mechanik (DE-588)4038168-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Geometrische Algebra (DE-588)4156707-9 gnd rswk-swf Mechanik (DE-588)4038168-7 s Geometrische Algebra (DE-588)4156707-9 s 1\p DE-604 Theoretische Mechanik (DE-588)4185100-6 s 2\p DE-604 https://doi.org/10.1007/0-306-47122-1 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 | Hestenes, David New Foundations for Classical Mechanics Physics Geometry, algebraic Systems theory Mechanics Astronomy Systems Theory, Control Algebraic Geometry Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Geometrische Algebra (DE-588)4156707-9 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4185100-6 (DE-588)4156707-9 |
| title | New Foundations for Classical Mechanics |
| title_auth | New Foundations for Classical Mechanics |
| title_exact_search | New Foundations for Classical Mechanics |
| title_full | New Foundations for Classical Mechanics by David Hestenes |
| title_fullStr | New Foundations for Classical Mechanics by David Hestenes |
| title_full_unstemmed | New Foundations for Classical Mechanics by David Hestenes |
| title_short | New Foundations for Classical Mechanics |
| title_sort | new foundations for classical mechanics |
| topic | Physics Geometry, algebraic Systems theory Mechanics Astronomy Systems Theory, Control Algebraic Geometry Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Geometrische Algebra (DE-588)4156707-9 gnd |
| topic_facet | Physics Geometry, algebraic Systems theory Mechanics Astronomy Systems Theory, Control Algebraic Geometry Mechanik Theoretische Mechanik Geometrische Algebra |
| url | https://doi.org/10.1007/0-306-47122-1 |
| work_keys_str_mv | AT hestenesdavid newfoundationsforclassicalmechanics |