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Beschreibung
It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (Komogorov) and was developed later in 1962 by Arnold and Moser. Today, this mathematical field is very popular and well known among physicists and mathematicians.
It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (Komogorov) and was developed later in 1962 by Arnold and Moser. Today, this mathematical field is very popular and well known among physicists and mathematicians.
Zusammenfassung
It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (Komogorov) and was developed later in 1962 by Arnold and Moser. Today, this mathematical field is very popular and well known among physicists and mathematicians.
Inhaltsverzeichnis
List of General Mathematical Notations.- I. KAM Theory.- I. Symplectic Dynamical Systems.- II. KAM Theorems.- III. Beyond the Tori.- IV. Proof of the Main Theorem.- II. Eigenfunctions Asymptotics.- V. Laplace-Beltrami-Schrödinger Operator and Quasimodes.- VI. Maslov's Canonical Operator.- VII. Quasimodes Attached to a KAM Set.- Addendum (by A.I. Shnirelman). On the Asymptotic Properties of Eigenfunctions in the Regions of Chaotic Motion.- Appendix I. Manifolds.- Appendix II. Derivatives of Superposition.- Appendix III. The Stationary Phase Method.- References.
Details
Erscheinungsjahr: | 2011 |
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Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
IX
387 S. |
ISBN-13: | 9783642762499 |
ISBN-10: | 3642762492 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Lazutkin, Vladimir F. |
Hersteller: |
Springer
Springer Vieweg Springer-Verlag GmbH |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 242 x 170 x 22 mm |
Von/Mit: | Vladimir F. Lazutkin |
Erscheinungsdatum: | 14.12.2011 |
Gewicht: | 0,682 kg |