Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1990
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings |
| Beschreibung: | 1 Online-Ressource (118 p.) 1 illus |
| ISBN: | 9783034891295 9783764323837 |
| DOI: | 10.1007/978-3-0348-9129-5 |
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Datensatz im Suchindex
| _version_ | 1804153096565161984 |
|---|---|
| any_adam_object | |
| author | Arnol’d, V. I. |
| author_facet | Arnol’d, V. I. |
| author_role | aut |
| author_sort | Arnol’d, V. I. |
| author_variant | v i a vi via |
| building | Verbundindex |
| bvnumber | BV042422305 |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9129-5 |
| era | Geschichte 1650-1800 gnd Geschichte 1600-1700 gnd |
| era_facet | Geschichte 1650-1800 Geschichte 1600-1700 |
| format | Electronic eBook |
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| id | DE-604.BV042422305 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034891295 9783764323837 |
| language | English |
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| spelling | Arnol’d, V. I. Verfasser aut Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by V. I. Arnol’d Basel Birkhäuser Basel 1990 1 Online-Ressource (118 p.) 1 illus txt rdacontent c rdamedia cr rdacarrier Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings Geschichte 1650-1800 gnd rswk-swf Geschichte 1600-1700 gnd rswk-swf Mathematics Global analysis (Mathematics) Analysis Mathematik Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s Geschichte 1600-1700 z 1\p DE-604 Physik (DE-588)4045956-1 s Geschichte 1650-1800 z 2\p DE-604 Mathematische Physik (DE-588)4037952-8 s 3\p DE-604 Geschichte (DE-588)4020517-4 s 4\p DE-604 5\p DE-604 6\p DE-604 https://doi.org/10.1007/978-3-0348-9129-5 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 | Arnol’d, V. I. Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals Mathematics Global analysis (Mathematics) Analysis Mathematik Geschichte (DE-588)4020517-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4037952-8 (DE-588)4045956-1 (DE-588)4001865-9 |
| title | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals |
| title_auth | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals |
| title_exact_search | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals |
| title_full | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by V. I. Arnol’d |
| title_fullStr | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by V. I. Arnol’d |
| title_full_unstemmed | Huygens and Barrow, Newton and Hooke Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by V. I. Arnol’d |
| title_short | Huygens and Barrow, Newton and Hooke |
| title_sort | huygens and barrow newton and hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals |
| title_sub | Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Geschichte (DE-588)4020517-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Geschichte Mathematische Physik Physik |
| url | https://doi.org/10.1007/978-3-0348-9129-5 |
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