Celestial Encounters : : The Origins of Chaos and Stability / / Philip Holmes, Florin Diacu.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
|---|---|
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©1996 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Princeton Science Library ;
119 |
| Online Access: | |
| Physical Description: | 1 online resource (256 p.) :; 23 halftones 64 line illus. |
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| 100 | 1 | |a Diacu, Florin, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Celestial Encounters : |b The Origins of Chaos and Stability / |c Philip Holmes, Florin Diacu. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2022] | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (256 p.) : |b 23 halftones 64 line illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Science Library ; |v 119 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface and Acknowledgments -- |t A Note to the Reader -- |t 1. A Great Discovery—And a Mistake -- |t 2. Symbolic Dynamics -- |t 3. Collisions and Other Singularities -- |t 4. Stability -- |t 5. KAM Theory -- |t Notes -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jul 2022) | |
| 650 | 0 | |a Celestial mechanics. | |
| 650 | 0 | |a Chaotic behavior in systems. | |
| 650 | 0 | |a Many-body problem. | |
| 650 | 7 | |a MATHEMATICS / Applied. |2 bisacsh | |
| 653 | |a Acceleration. | ||
| 653 | |a Acta Mathematica. | ||
| 653 | |a Alekseev, V. M. | ||
| 653 | |a American Mathematical Society. | ||
| 653 | |a Arnold diffusion. | ||
| 653 | |a Asteroid. | ||
| 653 | |a Benjamin Pierce lecturer. | ||
| 653 | |a Bifurcation theory. | ||
| 653 | |a Brown, Scott. | ||
| 653 | |a Calculus of variations. | ||
| 653 | |a Cantor set. | ||
| 653 | |a Celestial mechanics. | ||
| 653 | |a Conservation law. | ||
| 653 | |a Degrees of freedom. | ||
| 653 | |a Dimension theory. | ||
| 653 | |a Eccentricity. | ||
| 653 | |a Ecology. | ||
| 653 | |a Elasticity (theory). | ||
| 653 | |a Ellipse. | ||
| 653 | |a Fields Medal. | ||
| 653 | |a First return map. | ||
| 653 | |a Fixed point. | ||
| 653 | |a Four-body problem. | ||
| 653 | |a Function. | ||
| 653 | |a Gerver, Joseph. | ||
| 653 | |a Gravitation. | ||
| 653 | |a Harvard University. | ||
| 653 | |a Hirsch, Morris. | ||
| 653 | |a Hopf bifurcation. | ||
| 653 | |a Independent integrals. | ||
| 653 | |a Isoperimetric property. | ||
| 653 | |a Isosceles problem. | ||
| 653 | |a Jones, Vaughan. | ||
| 653 | |a KAM theory. | ||
| 653 | |a Kovalevskaia top. | ||
| 653 | |a Lagrangian solutions. | ||
| 653 | |a Legion of Honor. | ||
| 653 | |a Lewis Institute. | ||
| 653 | |a Major axis. | ||
| 653 | |a Manifold. | ||
| 653 | |a Mendelian laws. | ||
| 653 | |a Mercury. | ||
| 653 | |a Momentum. | ||
| 653 | |a Morrison Prize. | ||
| 653 | |a New York University. | ||
| 653 | |a Operator theory. | ||
| 653 | |a Orbit. | ||
| 653 | |a Panthéon. | ||
| 653 | |a Pendulum. | ||
| 653 | |a Physical space. | ||
| 653 | |a Quantum mechanics. | ||
| 653 | |a Saddle. | ||
| 700 | 1 | |a Holmes, Philip, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Gap Years |z 9783110784237 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691221830?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691221830 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691221830/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
| 912 | |a 978-3-11-078423-7 Princeton University Press eBook-Package Gap Years | ||
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