##### Detailseite wird geladen...

2007, ISBN: 9781402069628

ID: 9781402069628

Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics, and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion accordingly, this volume includes lectures on recent developments of KAM theory in infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical approaches to the gap problem. The subjects in question involve by necessity some of the most technical aspects of analysis coming from a number of diverse fields. Before the present volume, there has not been one text nor one course of study in which advanced students or experienced researchers from other areas can obtain an overview and background to enter this research area. This volume offers this, in an unparalleled series of extended lectures encompassing this wide spectrum of topics in PDE and dynamical systems. Hamiltonian Dynamical Systems and Applications: Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics, and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion accordingly, this volume includes lectures on recent developments of KAM theory in infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical approaches to the gap problem. The subjects in question involve by necessity some of the most technical aspects of analysis coming from a number of diverse fields. Before the present volume, there has not been one text nor one course of study in which advanced students or experienced researchers from other areas can obtain an overview and background to enter this research area. This volume offers this, in an unparalleled series of extended lectures encompassing this wide spectrum of topics in PDE and dynamical systems. Biophysik Physik / Biophysik Dynamisches System MATHEMATICS / Differential Equations / General SCIENCE / Physics / Mathematical & Computational SCIENCE / Mechanics / General, Springer-Verlag Gmbh

Rheinberg-Buch.de
Buch, Englisch, Neuware Versandkosten:Ab 20¤ Versandkostenfrei in Deutschland, Sofort lieferbar, DE. (EUR 0.00)
Details... |

2008, ISBN: 1402069626

ID: 12954400815

[EAN: 9781402069628], Neubuch, [PU: Springer-Verlag Gmbh Feb 2008], BIOPHYSIK; PHYSIK / DYNAMISCHES SYSTEM; MATHEMATICS DIFFERENTIAL EQUATIONS GENERAL; SCIENCE PHYSICS MATHEMATICAL & COMPUTATIONAL; MECHANICS GENERAL, Neuware - Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space; these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics, and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion; accordingly, this volume includes lectures on recent developments of KAM theory in infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical approaches to the gap problem. The subjects in question involve by necessity some of the most technical aspects of analysis coming from a number of diverse fields. Before the present volume, there has not been one text nor one course of study in which advanced students or experienced researchers from other areas can obtain an overview and background to enter this research area. This volume offers this, in an unparalleled series of extended lectures encompassing this wide spectrum of topics in PDE and dynamical systems. 441 pp. Englisch

Abebooks.de
sparbuchladen, Göttingen, Germany [52968077] [Rating: 5 (von 5)]
NEW BOOK Versandkosten:Versandkostenfrei (EUR 0.00) Details... |

2, ISBN: 9781402069628

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics, and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion accordingly, this volume includes lectures on recent developments of KAM theory in infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical approaches to the gap problem. The subjects in question involve by necessity some of the most technical aspects of analysis coming from a number of diverse fields. Before the present volume, there has not been one text nor one course of study in which advanced students or experienced researchers from other areas can obtain an overview and background to enter this research area. This volume offers this, in an unparalleled series of extended lectures encompassing this wide spectrum of topics in PDE and dynamical systems., [SC: 0.00], Neuware, gewerbliches Angebot, 235x155x33 mm, [GW: 931g]

Booklooker.de |

2007, ISBN: 9781402069628

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 235x155x33 mm, 441, [GW: 931g], Banküberweisung, PayPal

Booklooker.de |

2007, ISBN: 9781402069628

ID: 371947

This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. Mathematics Mathematics eBook, Springer

Ebooks.com
Versandkosten:plus verzendkosten, zzgl. Versandkosten
Details... |

Autor: | |

Titel: | ## Hamiltonian Dynamical Systems and Applications |

ISBN-Nummer: |

** Detailangaben zum Buch - Hamiltonian Dynamical Systems and Applications**

EAN (ISBN-13): 9781402069628

ISBN (ISBN-10): 1402069626

Gebundene Ausgabe

Erscheinungsjahr: 2008

Herausgeber: Springer-Verlag GmbH

441 Seiten

Gewicht: 0,931 kg

Sprache: eng/Englisch

Buch in der Datenbank seit 17.03.2008 23:53:35

Buch zuletzt gefunden am 13.06.2017 00:29:42

ISBN/EAN: 9781402069628

ISBN - alternative Schreibweisen:

1-4020-6962-6, 978-1-4020-6962-8

< zum Archiv...

##### Benachbarte Bücher

- "Object-Based Image Analysis and Treaty Verification", von "Menz, Gunter;Nussbaum, Sven" (9781402069611)
- "Hamiltonian Dynamical Systems and Applications", von "Walter Craig" (9781402069635)
- "Object-Based Image Analysis and Treaty Verification", von "Nussbaum, Sven; Menz, Gunter" (9781402069604)
- "Hamiltonian Dynamical Systems and Applications", von "Brüggemeier, Gert" (9781402069642)
- "Higher Education: Handbook of Theory and Research", von "9781402069598" (9781402069598)
- "Quantitative Eco-nomics", von "Bartelmus, Peter" (9781402069659)