000 | 03084nam a22005055i 4500 | ||
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001 | 978-1-4419-9126-3 | ||
003 | DE-He213 | ||
005 | 20140220084512.0 | ||
007 | cr nn 008mamaa | ||
008 | 110525s2010 xxu| s |||| 0|eng d | ||
020 |
_a9781441991263 _9978-1-4419-9126-3 |
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024 | 7 |
_a10.1007/978-1-4419-9126-3 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
|
082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aDuistermaat, J.J. _eauthor. |
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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. |
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300 |
_aXXII, 627p. 116 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
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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 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4419-9126-3 |
912 | _aZDB-2-SMA | ||
999 |
_c110760 _d110760 |