Posted by **ChrisRedfield** at Nov. 15, 2015

Published: 2011-04-12 | ISBN: 3034801033 | PDF | 341 pages | 3.37 MB

Posted by **interes** at Sept. 15, 2015

English | 2004 | ISBN: 3764321679 | 240 pages | PDF | 4,3 MB

Posted by **Rare-1** at July 13, 2015

English | OXFORD UNIVERSITY PRESS 2000 | ISBN-10: 0198503954 | 226 pages | DJVU | 2.64 MB

For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last decade though, the interest has shifted steadily towards non-integrable Hamiltonian PDEs. Here, not algebra but analysis and symplectic geometry are the appropriate analysing tools. The present book is the first one to use this approach to Hamiltonian PDEs and present a complete proof of the "KAM for PDEs" theorem. It will be an invaluable source of information for postgraduate mathematics and physics students and researchers.

Posted by **tanas.olesya** at May 7, 2015

English | Feb 4, 2004 | ISBN: 3764350660, 0817650660 | 359 Pages | PDF | 9 MB

Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book.

Posted by **ChrisRedfield** at Nov. 17, 2014

Published: 2010-05-15 | ISBN: 3037190817 | PDF | 363 pages | 4 MB

Posted by **tanas.olesya** at Oct. 25, 2014

Springer; 2006 edition | April 11, 2006 | English | ISBN: 3540309152 | 383 pages | PDF | 30 MB

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones.

Posted by **ChrisRedfield** at Aug. 26, 2014

Published: 2010-12-09 | ISBN: 3642017762 | PDF | 700 pages | 4 MB

Posted by **Veslefrikk** at July 26, 2013

Birkhäuser Basel | 2004 | ISBN: 3764321679 | 240 pages | PDF | 4,1 MB

Posted by **Sonora** at Nov. 25, 2006

Springer | ISBN: 3540421955 | 2001 | 217 pages | PDF | 1.1 MB

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moments maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster.

Posted by **Underaglassmoon** at Oct. 18, 2016

World Scientific | Geometry & Topology | Aug. 30 2016 | ISBN-10: 9814696706 | 180 pages | pdf | 4.25 mb

by Augustin Banyaga (Author), Djideme F. Houenou (Author)