000			04184nam a22005055i 4500
003			DE-He213
005			20191011093118.0
007			cr nn 008mamaa
008			110330s2011 sz | s |||| 0|eng d
020	6	4	_a9783034801041 _9978-3-0348-0104-1
024	8	7	_a10.1007/978-3-0348-0104-1 _2doi
050	8	4	_aQA641-670
072	8	7	_aPBMP _2bicssc
072	8	7	_aMAT012030 _2bisacsh
082			_a516.36 _223
100	8	1	_aHofer, Helmut. _eauthor. _995331
245	9	7	_aSymplectic Invariants and Hamiltonian Dynamics _h[electronic resource] / _cby Helmut Hofer, Eduard Zehnder.
001			000058576
300	6	4	_aXIV, 341p. 49 illus. _bonline resource.
490	8	1	_aModern Birkhuser Classics
505	8	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	6	4	_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. (Ǫ) 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. (Ǫ) 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	8	0	_aMathematics. _98571
650	8	0	_aGlobal analysis (Mathematics). _910011
650	8	0	_aGlobal differential geometry. _99530
650	8	0	_aCell aggregation _xMathematics. _912625
650			_aMathematics. _98571
650			_aDifferential Geometry. _99532
650			_aManifolds and Cell Complexes (incl. Diff.Topology). _912627
650			_aAnalysis. _910013
700	8	1	_aZehnder, Eduard. _eauthor. _995332
710	8	2	_aSpringerLink (Online service) _995333
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9783034801034
830	8	0	_aModern Birkhuser Classics _995334
856			_uhttp://dx.doi.org/10.1007/978-3-0348-0104-1 _zde clik aquí para ver el libro electrónico
264	8	1	_aBasel : _bSpringer Basel, _c2011.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c58306 _d58306
942			_c05