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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Diacu, Florin, author. aut http://id.loc.gov/vocabulary/relators/aut Celestial Encounters : The Origins of Chaos and Stability / Philip Holmes, Florin Diacu. Princeton, NJ : Princeton University Press, [2022] ©1996 1 online resource (256 p.) : 23 halftones 64 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Science Library ; 119 Frontmatter -- Contents -- Preface and Acknowledgments -- A Note to the Reader -- 1. A Great Discovery—And a Mistake -- 2. Symbolic Dynamics -- 3. Collisions and Other Singularities -- 4. Stability -- 5. KAM Theory -- Notes -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jul 2022) Celestial mechanics. Chaotic behavior in systems. Many-body problem. MATHEMATICS / Applied. bisacsh Acceleration. Acta Mathematica. Alekseev, V. M. American Mathematical Society. Arnold diffusion. Asteroid. Benjamin Pierce lecturer. Bifurcation theory. Brown, Scott. Calculus of variations. Cantor set. Conservation law. Degrees of freedom. Dimension theory. Eccentricity. Ecology. Elasticity (theory). Ellipse. Fields Medal. First return map. Fixed point. Four-body problem. Function. Gerver, Joseph. Gravitation. Harvard University. Hirsch, Morris. Hopf bifurcation. Independent integrals. Isoperimetric property. Isosceles problem. Jones, Vaughan. KAM theory. Kovalevskaia top. Lagrangian solutions. Legion of Honor. Lewis Institute. Major axis. Manifold. Mendelian laws. Mercury. Momentum. Morrison Prize. New York University. Operator theory. Orbit. Panthéon. Pendulum. Physical space. Quantum mechanics. Saddle. Holmes, Philip, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Gap Years 9783110784237 https://doi.org/10.1515/9780691221830?locatt=mode:legacy https://www.degruyter.com/isbn/9780691221830 Cover https://www.degruyter.com/document/cover/isbn/9780691221830/original |
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Diacu, Florin, Diacu, Florin, Holmes, Philip, |
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Diacu, Florin, Diacu, Florin, Holmes, Philip, Celestial Encounters : The Origins of Chaos and Stability / Princeton Science Library ; Frontmatter -- Contents -- Preface and Acknowledgments -- A Note to the Reader -- 1. A Great Discovery—And a Mistake -- 2. Symbolic Dynamics -- 3. Collisions and Other Singularities -- 4. Stability -- 5. KAM Theory -- Notes -- Bibliography -- Index |
author_facet |
Diacu, Florin, Diacu, Florin, Holmes, Philip, Holmes, Philip, Holmes, Philip, |
author_variant |
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VerfasserIn VerfasserIn VerfasserIn |
author2 |
Holmes, Philip, Holmes, Philip, |
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p h ph |
author2_role |
VerfasserIn VerfasserIn |
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Diacu, Florin, |
title |
Celestial Encounters : The Origins of Chaos and Stability / |
title_sub |
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_auth |
Celestial Encounters : The Origins of Chaos and Stability / |
title_alt |
Frontmatter -- Contents -- Preface and Acknowledgments -- A Note to the Reader -- 1. A Great Discovery—And a Mistake -- 2. Symbolic Dynamics -- 3. Collisions and Other Singularities -- 4. Stability -- 5. KAM Theory -- Notes -- Bibliography -- Index |
title_new |
Celestial Encounters : |
title_sort |
celestial encounters : the origins of chaos and stability / |
series |
Princeton Science Library ; |
series2 |
Princeton Science Library ; |
publisher |
Princeton University Press, |
publishDate |
2022 |
physical |
1 online resource (256 p.) : 23 halftones 64 line illus. |
contents |
Frontmatter -- Contents -- Preface and Acknowledgments -- A Note to the Reader -- 1. A Great Discovery—And a Mistake -- 2. Symbolic Dynamics -- 3. Collisions and Other Singularities -- 4. Stability -- 5. KAM Theory -- Notes -- Bibliography -- Index |
isbn |
9780691221830 9783110442496 9783110784237 |
callnumber-first |
Q - Science |
callnumber-subject |
QB - Astronomy |
callnumber-label |
QB362 |
callnumber-sort |
QB 3362 M3 |
url |
https://doi.org/10.1515/9780691221830?locatt=mode:legacy https://www.degruyter.com/isbn/9780691221830 https://www.degruyter.com/document/cover/isbn/9780691221830/original |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
520 - Astronomy |
dewey-ones |
521 - Celestial mechanics |
dewey-full |
521 |
dewey-sort |
3521 |
dewey-raw |
521 |
dewey-search |
521 |
doi_str_mv |
10.1515/9780691221830?locatt=mode:legacy |
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AT diacuflorin celestialencounterstheoriginsofchaosandstability AT holmesphilip celestialencounterstheoriginsofchaosandstability |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Gap Years |
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Celestial Encounters : The Origins of Chaos and Stability / |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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