Second Year Calculus: From Celestial Mechanics to Special Relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1991
|
| Schriftenreihe: | Undergraduate Texts in Mathematics, Readings in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book carries us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics |
| Beschreibung: | 1 Online-Ressource (404p. 98 illus) |
| ISBN: | 9781461209591 9780387976068 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-0959-1 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0959-1 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461209591 9780387976068 |
| issn | 0172-6056 |
| language | English |
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| spelling | Bressoud, David M. Verfasser aut Second Year Calculus From Celestial Mechanics to Special Relativity by David M. Bressoud New York, NY Springer New York 1991 1 Online-Ressource (404p. 98 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics, Readings in Mathematics 0172-6056 Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book carries us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Infinitesimalrechnung (DE-588)4072798-1 s Mehrere Variable (DE-588)4277015-4 s 3\p DE-604 Vektoranalysis (DE-588)4191992-0 s 4\p DE-604 Vektorrechnung (DE-588)4062471-7 s 5\p DE-604 Analysis (DE-588)4001865-9 s 6\p DE-604 https://doi.org/10.1007/978-1-4612-0959-1 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bressoud, David M. Second Year Calculus From Celestial Mechanics to Special Relativity Mathematics Global analysis (Mathematics) Analysis Mathematik Mehrere Variable (DE-588)4277015-4 gnd Vektorrechnung (DE-588)4062471-7 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| subject_GND | (DE-588)4277015-4 (DE-588)4062471-7 (DE-588)4072798-1 (DE-588)4001865-9 (DE-588)4191992-0 (DE-588)4143389-0 (DE-588)4123623-3 |
| title | Second Year Calculus From Celestial Mechanics to Special Relativity |
| title_auth | Second Year Calculus From Celestial Mechanics to Special Relativity |
| title_exact_search | Second Year Calculus From Celestial Mechanics to Special Relativity |
| title_full | Second Year Calculus From Celestial Mechanics to Special Relativity by David M. Bressoud |
| title_fullStr | Second Year Calculus From Celestial Mechanics to Special Relativity by David M. Bressoud |
| title_full_unstemmed | Second Year Calculus From Celestial Mechanics to Special Relativity by David M. Bressoud |
| title_short | Second Year Calculus |
| title_sort | second year calculus from celestial mechanics to special relativity |
| title_sub | From Celestial Mechanics to Special Relativity |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Mehrere Variable (DE-588)4277015-4 gnd Vektorrechnung (DE-588)4062471-7 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Mehrere Variable Vektorrechnung Infinitesimalrechnung Vektoranalysis Aufgabensammlung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4612-0959-1 |
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