Celestial Encounters: The Origins of Chaos and Stability
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynam...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2022]
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| Schriftenreihe: | Princeton Science Library
119 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAB01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext |
| Zusammenfassung: | Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jul 2022) |
| Beschreibung: | 1 online resource (256 pages) 23 halftones 64 line illus |
| ISBN: | 9780691221830 |
| DOI: | 10.1515/9780691221830 |
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| 520 | |a Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it | ||
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| spelling | Diacu, Florin Verfasser aut Celestial Encounters The Origins of Chaos and Stability Philip Holmes, Florin Diacu Princeton, NJ Princeton University Press [2022] © 1996 1 online resource (256 pages) 23 halftones 64 line illus txt rdacontent c rdamedia cr rdacarrier Princeton Science Library 119 Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jul 2022) Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it In English MATHEMATICS / Applied bisacsh Celestial mechanics Chaotic behavior in systems Many-body problem Holmes, Philip Sonstige oth https://doi.org/10.1515/9780691221830?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Diacu, Florin Celestial Encounters The Origins of Chaos and Stability MATHEMATICS / Applied bisacsh Celestial mechanics Chaotic behavior in systems Many-body problem |
| title | Celestial Encounters The Origins of Chaos and Stability |
| title_auth | Celestial Encounters The Origins of Chaos and Stability |
| title_exact_search | Celestial Encounters The Origins of Chaos and Stability |
| title_exact_search_txtP | Celestial Encounters The Origins of Chaos and Stability |
| title_full | Celestial Encounters The Origins of Chaos and Stability Philip Holmes, Florin Diacu |
| title_fullStr | Celestial Encounters The Origins of Chaos and Stability Philip Holmes, Florin Diacu |
| title_full_unstemmed | Celestial Encounters The Origins of Chaos and Stability Philip Holmes, Florin Diacu |
| title_short | Celestial Encounters |
| title_sort | celestial encounters the origins of chaos and stability |
| title_sub | The Origins of Chaos and Stability |
| topic | MATHEMATICS / Applied bisacsh Celestial mechanics Chaotic behavior in systems Many-body problem |
| topic_facet | MATHEMATICS / Applied Celestial mechanics Chaotic behavior in systems Many-body problem |
| url | https://doi.org/10.1515/9780691221830?locatt=mode:legacy |
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