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1. |
Record Nr. |
UNISA996393937703316 |
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Autore |
Norris John <1657-1711.> |
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Titolo |
A collection of miscellanies [[electronic resource] ] : consisting of poems, essays, discourses & letters, occasionally written / / by John Norris . |
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Pubbl/distr/stampa |
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London, : Printed for J. Crosley and Samuel Manship, ..., 1692 |
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Edizione |
[The second edition corrected.] |
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Descrizione fisica |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Advertisement: p. [2]-[5] at end. |
Added t.p. on p. [391]: An idea of happiness ... London : S. Manship, 1691. |
Reproduction of original in Huntington Library. |
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2. |
Record Nr. |
UNINA9910164944903321 |
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Autore |
Moser Jurgen |
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Titolo |
Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©2001 |
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ISBN |
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Edizione |
[With a New foreword by Philip J. Holmes] |
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Descrizione fisica |
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1 online resource (212 pages) : illustrations |
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Collana |
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Princeton Landmarks in Mathematics and Physics ; ; 77 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"The Institute for Advanced Study." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
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Sommario/riassunto |
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For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are |
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still one of the best entrées to the fascinating worlds of order and chaos in dynamics. |
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