Symplectic Invariants and Hamiltonian Dynamics
(Sprache: Englisch)
The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very...
Leider schon ausverkauft
versandkostenfrei
Buch (Kartoniert)
90.94 €
45 DeutschlandCard Punkte
sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Symplectic Invariants and Hamiltonian Dynamics “
Klappentext zu „Symplectic Invariants and Hamiltonian Dynamics “
The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preserving mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology. The exposition is self-contained and addressed to researchers and students from the graduate level onwards.
Inhaltsverzeichnis zu „Symplectic Invariants and Hamiltonian Dynamics “
From the contents:1 Introduction.- 2 Symplectic capacities.- 3 Existence of a capacity.- 4 Existence of closed charasteristics.- 5 Compactly supported symplectic mappings in R2n.- 6 The Arnold conjecture, Floer homology and symplectic homology.- Appendix.- Index.- Bibliography.
Autoren-Porträt von Helmut Hofer, Eduard Zehnder
Helmut Hofer is Professor at the Institute for Advanced Study in Princeton, New Jersey, USA.Eduard Zehnder is emeritus Professor of ETH Zürich, Switzerland.
Bibliographische Angaben
- Autoren: Helmut Hofer , Eduard Zehnder
- 2011, Reprint of the First Edition 1994., XIV, 341 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Birkhäuser
- ISBN-10: 3034801033
- ISBN-13: 9783034801034
- Erscheinungsdatum: 13.05.2011
Sprache:
Englisch
Rezension zu „Symplectic Invariants and Hamiltonian Dynamics “
From the reviews:"Symplectic Invariants and Hamiltonian Dynamics is obviously a work of central importance in the field and is required reading for all would-be players in this game. Happily, it is very well written and sports a lot of very useful commentary by the authors; the sections introducing the individual chapters are particularly well done ... . It is all fine scholarship in an exciting and fertile area." (Michael Berg, The Mathematical Association of America, June, 2011)
Pressezitat
From the reviews:"Symplectic Invariants and Hamiltonian Dynamics is obviously a work of central importance in the field and is required reading for all would-be players in this game. Happily, it is very well written and sports a lot of very useful commentary by the authors; the sections introducing the individual chapters are particularly well done ... . It is all fine scholarship in an exciting and fertile area." (Michael Berg, The Mathematical Association of America, June, 2011)
Kommentar zu "Symplectic Invariants and Hamiltonian Dynamics"
0 Gebrauchte Artikel zu „Symplectic Invariants and Hamiltonian Dynamics“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Symplectic Invariants and Hamiltonian Dynamics".
Kommentar verfassen