000			04039nam a22004815i 4500
001			u373057
003			SIRSI
005			20160812084128.0
007			cr nn 008mamaa
008			110330s2011 sz | s |||| 0|eng d
020			_a9783034801041 _9978-3-0348-0104-1
040			_cMX-MeUAM
050		4	_aQA641-670
082	0	4	_a516.36 _223
100	1		_aHofer, Helmut. _eauthor.
245	1	0	_aSymplectic Invariants and Hamiltonian Dynamics _h[recurso electrónico] / _cby Helmut Hofer, Eduard Zehnder.
264		1	_aBasel : _bSpringer Basel, _c2011.
300			_aXIV, 341p. 49 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModern Birkhäuser Classics
505	0		_a1 Introduction -- 2 Symplectic capacities -- 3 Existence of a capacity -- 4 Existence of closed characteristics -- 5 Compactly supported symplectic mappings in R2n -- 6 The Arnold conjecture, Floer homology and symplectic homology -- Appendix -- Index -- Bibliography.
520			_aThe 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.   ------   All the chapters have a nice introduction with the historic development of the subject and with a perfect description of the state of the art. The main ideas are brightly exposed throughout the book. (…) This book, written by two experienced researchers, will certainly fill in a gap in the theory of symplectic topology. The authors have taken part in the development of such a theory by themselves or by their collaboration with other outstanding people in the area. (Zentralblatt MATH)   This book is a beautiful introduction to one outlook on the exciting new developments of the last ten to fifteen years in symplectic geometry, or symplectic topology, as certain aspects of the subject are lately called. (…) The authors are obvious masters of the field, and their reflections here and there throughout the book on the ambient literature and open problems are perhaps the most interesting parts of the volume. (Matematica)
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aGlobal differential geometry.
650		0	_aCell aggregation _xMathematics.
650	1	4	_aMathematics.
650	2	4	_aDifferential Geometry.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
650	2	4	_aAnalysis.
700	1		_aZehnder, Eduard. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034801034
830		0	_aModern Birkhäuser Classics
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0348-0104-1
596			_a19
942			_cLIBRO_ELEC
999			_c200937 _d200937