Celestial Encounters: The Origins of Chaos and Stability
- ISBN-10
- 0691221839
- ISBN-13
- 9780691221830
- Series
- Celestial Encounters
- Category
- Mathematics
- Pages
- 258
- Language
- English
- Published
- 2020-12-08
- Publisher
- Princeton University Press
- Authors
- Florin Diacu, Philip J. Holmes
Description
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.
Get the book
Other editions
-
- 1999-03-28
- 258 pages
- Paperback
- Princeton University Press
Similar books
-
Incontri Celesti (Celestial Encounters): Oggi Qui Domani Forse, VI Episodo (Here Today Gone Tomorrow, 6th Episode)
By Giuseppino MarcialisIncontri Celesti (Celestial Encounters): Oggi Qui Domani Forse, VI Episodo (Here Today Gone Tomorrow, 6th Episode)
-
Celestial Encounters: Chaos and Conscience, 4th Episode
By Giuseppino MarcialisThe poet deals with the origin of life (genetic way).
-
Celestial Healing: Close Encounters That Cure
By Virginia AronsonStories of healing power from alternate dimensions fill this unique selfhealth guide designed to show readers how to use celestial forces to stimulate the healing process. Original.
-
Incontri Celesti (Celestial Encounters): Fangossaia, VIIo Episodio (Mud and Bones, 6th Episode)
By Giuseppino MarcialisIncontri Celesti (Celestial Encounters): Fangossaia, VIIo Episodio (Mud and Bones, 6th Episode)
-
Celestial Encounters: Dragoniera, 9th Episode
By Giuseppino MarcialisCinlao and Tsetungo, two passengers of the ill fated flight Qantas 06 from Melbourne to Bangkok, take centre stage in the rice fields of Cambodia.
-
Celestial Shadows: Eclipses, Transits, and Occultations
By William Sheehan, John Westfall(Hornsby 1765: 327) With a value of 9 s tentatively adopted for the solar parallax, Hornsby and other British astronomers began to prepare for the second transit of the pair in 1769. James Ferguson (1710–1776), a Scottish astronomer and ...
-
Celestial Connections
By Cecelia Frances PageSCIENCE FICTION In CELESTIAL CONNECTIONS, Part I, Raymond Adams, a United Nations leader in New York City in America, was contacted in 2027 by ... Part II in CELEST/AL CONNECTIONS is a sequel which describes celestial encounters.
-
Classical and Celestial Mechanics: The Recife Lectures
By Florin Diacu, Hildeberto Cabral... Press book Celestial Encounters , authored by Florin Diacu , the other editor of the current volume , and Phil Holmes . When I first met Hildeberto in December 1981 at a conference on celestial mechanics held in São Paulo , Brazil ...
-
Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers
By Edward BelbrunoC. McCord, K. R. Meyer, and Q. D. Wang. The Integral Manifolds of the Three-Body Problem, volume 132. Amer. Math. Soc., Providence, RI, 1998. C. K. McCord and K. R. Meyer. Integral manifolds of the restricted three-body problem. Ergod.
-
Integrable Systems in Celestial Mechanics
By Diarmuid Ó'MathúnaAs previously noted, the KAM theory is also discussed in the survey “Celestial Encounters” (1996) [D1]. This may be an appropriate point to note that the first English translation of the M ́ecanique Analytique of Lagrange appeared in ...