000			03098nam a22005055i 4500
001			978-0-387-72923-7
003			DE-He213
005			20140220084455.0
007			cr nn 008mamaa
008			100907s2010 xxu| s |||| 0|eng d
020			_a9780387729237 _9978-0-387-72923-7
024	7		_a10.1007/978-0-387-72923-7 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aDuistermaat, J.J. _eauthor.
245	1	0	_aDiscrete Integrable Systems _h[electronic resource] : _bQRT Maps and Elliptic Surfaces / _cby J.J. Duistermaat.
250			_a1.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXXII, 627p. 116 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382 ; _v304
505	0		_aThe QRT Map -- The Pencil of Biquadratic Curves in -- The QRT surface -- Cubic Curves in the Projective Plane -- The Action of the QRT Map on Homology -- Elliptic Surfaces -- Automorphisms of Elliptic Surfaces -- Elliptic Fibrations with a Real Structure -- Rational elliptic surfaces -- Symmetric QRT Maps -- Examples from the Literature -- Appendices.
520			_aThe rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the author’s insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the map. The aim of this book is to give a complete treatment not only of the basic facts about QRT maps, but also the background theory on which these maps are based. Readers with a good knowledge of algebraic geometry will be interested in Kodaira’s theory of elliptic surfaces and the collection of nontrivial applications presented here. While prerequisites for some readers will demand their knowledge of quite a bit of algebraic- and complex analytic geometry, different categories of readers will be able to become familiar with any selected interest in the book without having to make an extensive journey through the literature.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aFunctions of complex variables.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aNumber Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441971166
830		0	_aSpringer Monographs in Mathematics, _x1439-7382 ; _v304
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-72923-7
912			_aZDB-2-SMA
999			_c109779 _d109779