Matches in Harvard for { <http://id.lib.harvard.edu/aleph/006936767/catalog> ?p ?o. }
Showing items 1 to 24 of
24
with 100 items per page.
- catalog abstract "Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare 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, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare'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 Poincare.".
- catalog contributor b9626713.
- catalog contributor b9626714.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare 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, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare'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 Poincare.".
- catalog description "Includes bibliographical references and index.".
- catalog description "[ch]. 1. Great discovery: and a mistake -- [ch]. 2. Symbolic dynamics -- [ch]. 3. Collisions and other singularities -- [ch]. 4. Stability -- [ch]. 5. KAM theory.".
- catalog extent "xv, 233 p. :".
- catalog identifier "0691027439 (cl : alk. paper)".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "Princeton, N.J. : Princeton University Press,".
- catalog subject "521 20".
- catalog subject "Celestial mechanics.".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Many-body problem.".
- catalog subject "QB362.M3 D53 1996".
- catalog tableOfContents "[ch]. 1. Great discovery: and a mistake -- [ch]. 2. Symbolic dynamics -- [ch]. 3. Collisions and other singularities -- [ch]. 4. Stability -- [ch]. 5. KAM theory.".
- catalog title "Celestial encounters : the origins of chaos and stability / Florin Diacu and Philip Holmes.".
- catalog type "text".