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CELESTIAL ENCOUNTERS von Florin Diacu & Philip Holmes *Top Zustand*-
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Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- ISBN-10
- 0691005451
- Book Title
- Celestial Encounters
- Genre
- MATHEMATICS
- ISBN
- 9780691005454
- Subject Area
- Science, Mathematics
- Publication Name
- Celestial Encounters : the Origins of Chaos and Stability
- Item Length
- 9.1 in
- Publisher
- Princeton University Press
- Subject
- Chaotic Behavior in Systems, Mechanics / General, Mechanics / Dynamics, Cosmology, Applied
- Series
- Princeton Science Library
- Publication Year
- 1999
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.7 in
- Item Width
- 6.1 in
- Item Weight
- 12 Oz
- Number of Pages
- 256 Pages
Über dieses Produkt
Product Information
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincar 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, Poincar found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincar '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 Poincar . More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691005451
ISBN-13
9780691005454
eBay Product ID (ePID)
1139828
Product Key Features
Publication Name
Celestial Encounters : the Origins of Chaos and Stability
Format
Trade Paperback
Language
English
Subject
Chaotic Behavior in Systems, Mechanics / General, Mechanics / Dynamics, Cosmology, Applied
Series
Princeton Science Library
Publication Year
1999
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
256 Pages
Dimensions
Item Length
9.1 in
Item Height
0.7 in
Item Width
6.1 in
Item Weight
12 Oz
Additional Product Features
Intended Audience
College Audience
Series Volume Number
22
Reviews
Throughout the book one finds a vital quality that derives from the authors' real success in presenting mathematics as a human endeavor.... A valuable and accessible contribution to the chaos literature., A pleasant mix of things technical and things historical.... Written in a lively and informative way. -- Robert Devaney, Science, "Throughout the book one finds a vital quality that derives from the authors' real success in presenting mathematics as a human endeavor.... A valuable and accessible contribution to the chaos literature."-- June Barrow-Green, Isis, "A pleasant mix of things technical and things historical.... Written in a lively and informative way." --Robert Devaney, Science, A particular strength of Celestial Encounters is the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book. -- Ian Stewart, New Scientist, A particular strength ofCelestial Encountersis the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book. -- Ian Stewart, New Scientist, A particular strength ofCelestial Encountersis the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book., "A pleasant mix of things technical and things historical.... Written in a lively and informative way."-- Robert Devaney, Science, A pleasant mix of things technical and things historical.... Written in a lively and informative way., "A particular strength of Celestial Encounters is the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book." --Ian Stewart, New Scientist, "This book, which should be required reading for every nonspecialist astronomer, may well be headed toward becoming a classic." -- Choice, "[S]tories about the history of celestial mechanics are the subject of this delightful book. The authors interweave numerous anecdotes about the personalities involved in the discoveries with technical details of the mathematical ideas themselves. . . . a pleasant mix of things technical and things historical. . . . written in a lively and informative way."-- Robert L. Devaney, Science, A particular strength of Celestial Encounters is the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book., "This book, which should be required reading for every nonspecialist astronomer, may well be headed toward becoming a classic."-- Choice, Throughout the book one finds a vital quality that derives from the authors' real success in presenting mathematics as a human endeavor.... A valuable and accessible contribution to the chaos literature. -- June Barrow-Green, Isis, This book, which should be required reading for every nonspecialist astronomer, may well be headed toward becoming a classic., [S]tories about the history of celestial mechanics are the subject of this delightful book. The authors interweave numerous anecdotes about the personalities involved in the discoveries with technical details of the mathematical ideas themselves. . . . a pleasant mix of things technical and things historical. . . . written in a lively and informative way., "A particular strength of Celestial Encounters is the impression, conveyed with a deft touch, that mathematics is an international and collective effort made by real people for real reasons in the real world. All the players in the drama, alive or dead, come over as human beings who happen to have a passion for mathematics and an ability to fulfill that passion. This feature alone justifies buying the book."-- Ian Stewart, New Scientist, "Throughout the book one finds a vital quality that derives from the authors' real success in presenting mathematics as a human endeavor.... A valuable and accessible contribution to the chaos literature." --June Barrow-Green, Isis, "[S]tories about the history of celestial mechanics are the subject of this delightful book. The authors interweave numerous anecdotes about the personalities involved in the discoveries with technical details of the mathematical ideas themselves. . . . a pleasant mix of things technical and things historical. . . . written in a lively and informative way." --Robert L. Devaney, Science, This book, which should be required reading for every nonspecialist astronomer, may well be headed toward becoming a classic. -- Choice, [S]tories about the history of celestial mechanics are the subject of this delightful book. The authors interweave numerous anecdotes about the personalities involved in the discoveries with technical details of the mathematical ideas themselves. . . . a pleasant mix of things technical and things historical. . . . written in a lively and informative way. -- Robert L. Devaney, Science
Table of Content
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
Copyright Date
1996
Dewey Decimal
521
Dewey Edition
21
Illustrated
Yes
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