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New Methods of Celestial Mechanics (History of Modern Physics and Astronomy, Vol. 13) (3 Volumes) - Hardcover
Synopsis
Edited by Daniel Goroff, Harvard University This English-language edition of Poincare's landmark work is of interest not only to historians of science, but also to mathematicians. Beginning from an investigation of the three-body problem of Newtonian mechanics, Poincare lays the foundations of the qualitative solutions of differential equations. To investigate the long-unsolved problem of the stability of the Solar System, Poincare invented a number of new techniques including canonical transformations, asymptotic series expansions, and integral invariants. These "new methods" are even now finding applications in chaos and other contemporary disciplines. Contents: Volume I: Periodic and asymptotic solutions: Introduction by Daniel Goroff. Generalities and the Jacobi method. Series integration. Periodic solutions. Characteristic exponents. Nonexistence of uniform integrals. Approximate development of the perturbative function. Asymptotic solutions. Volume II: Approximations by series: Formal calculus. Methods of Newcomb and Lindstedt. Application to the study of secular variations. Application to the three-body problem. Application to orbits. Divergence of the Lindstedt series. Direct calculation of the series. Other methods of direct calculation. Gylden methods. Case of linear equations. Bohlin methods. Bohlin series. Extension of the Bohlin method. Volume III: Integral invariants and asymptotic properties of certain solutions: Integral invariants. Formation of invariants. Use of integral invariants. Integral invariants and asymptotic solutions. Poisson stability. Theory of consequents. Periodic solutions of the second kind. Different forms of the principle of least action.
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- PublisherSpringer
- Publication date1993
- ISBN 10 1563961172
- ISBN 13 9781563961175
- BindingHardcover
- LanguageEnglish
- Number of pages1077
- EditorGoroff David
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New Methods of Celestial Mechanics (History of Modern Physics and Astronomy, Vol. 13) (3 Volumes)
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Condition: good. Three volumes. Some sun-fading on the spines. A former library set with all the expected stamps, stickers and markings. Excellent condition for former library books. Some shelf, storage or usage wear present. The bindings are tight and all pages are present. Do not appear to have come with dustjackets originally. The pages appear unmarked. Individually inspected by Shadow. Pictures available upon request. Thanks for supporting an independent bookseller! Seller Inventory # FBV.1563961172.G
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New Methods of Celestial Mechanics, Periodic and Asymptotic Solutions, Approximations By Series, & Integral Invariants and Asymptotic Properties of Certain Solutions, 3 Volumes
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Amer Inst of Physics, Woodbury, New York, U.S.A., 1992
ISBN 10: 1563961172
ISBN 13: 9781563961175
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Cloth. Condition: Fine. No Jacket. First Thus. This is a fine, three volume set in red cloth with gold stamping, no DJs. A smudge to the bottom edge of volume 2, otherwise a like new set. Obviously unread. MEDIA SHIPPING ONLY. Seller Inventory # 034170
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New Methods of Celestial Mechanics (History of Modern Physics and Astronomy, Vol. 13) (3 Volumes)
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New Methods of Celestial Mechanics, 3 Vols.
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American Inst. of Physics, 1992
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ISBN 13: 9781563961175
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New Methods of Celestial Mechanics
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ISBN 10: 1563961172
ISBN 13: 9781563961175
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Edited by Daniel Goroff, Harvard University This English-language edition of Poincare's landmark work is of interest not only to historians of science, but also to mathematicians. Beginning from an investigation of the three-body problem of Newtonian mechanics, Poincare lays the foundations of the qualitative solutions of differential equations. To investigate the long-unsolved problem of the stability of the Solar System, Poincare invented a number of new techniques including canonical transformations, asymptotic series expansions, and integral invariants. These 'new methods' are even now finding applications in chaos and other contemporary disciplines. Contents: Volume I: Periodic and asymptotic solutions: Introduction by Daniel Goroff. Generalities and the Jacobi method. Series integration. Periodic solutions. Characteristic exponents. Nonexistence of uniform integrals. Approximate development of the perturbative function. Asymptotic solutions. Volume II: Approximations by series: Formal calculus. Methods of Newcomb and Lindstedt. Application to the study of secular variations. Application to the three-body problem. Application to orbits. Divergence of the Lindstedt series. Direct calculation of the series. Other methods of direct calculation. Gylden methods. Case of linear equations. Bohlin methods. Bohlin series. Extension of the Bohlin method. Volume III: Integral invariants and asymptotic properties of certain solutions: Integral invariants. Formation of invariants. Use of integral invariants. Integral invariants and asymptotic solutions. Poisson stability. Theory of consequents. Periodic solutions of the second kind. Different forms of the principle of least action. 1308 pp. Englisch. Seller Inventory # 9781563961175
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New Methods of Celestial Mechanics
Published by
American Inst. Of Physics, 1993
ISBN 10: 1563961172
ISBN 13: 9781563961175
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Edited by Daniel Goroff, Harvard University This English-language edition of Poincare's landmark work is of interest not only to historians of science, but also to mathematicians. Beginning from an investigation of the three-body problem of Newtonian mechanics, Poincare lays the foundations of the qualitative solutions of differential equations. To investigate the long-unsolved problem of the stability of the Solar System, Poincare invented a number of new techniques including canonical transformations, asymptotic series expansions, and integral invariants. These 'new methods' are even now finding applications in chaos and other contemporary disciplines. Contents: Volume I: Periodic and asymptotic solutions: Introduction by Daniel Goroff. Generalities and the Jacobi method. Series integration. Periodic solutions. Characteristic exponents. Nonexistence of uniform integrals. Approximate development of the perturbative function. Asymptotic solutions. Volume II: Approximations by series: Formal calculus. Methods of Newcomb and Lindstedt. Application to the study of secular variations. Application to the three-body problem. Application to orbits. Divergence of the Lindstedt series. Direct calculation of the series. Other methods of direct calculation. Gylden methods. Case of linear equations. Bohlin methods. Bohlin series. Extension of the Bohlin method. Volume III: Integral invariants and asymptotic properties of certain solutions: Integral invariants. Formation of invariants. Use of integral invariants. Integral invariants and asymptotic solutions. Poisson stability. Theory of consequents. Periodic solutions of the second kind. Different forms of the principle of least action. Seller Inventory # 9781563961175
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