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100907s2010 xxu| s |||| 0|eng d |
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|a 9780387729237
|9 978-0-387-72923-7
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|a 10.1007/978-0-387-72923-7
|2 doi
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|a QA564-609
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|a PBMW
|2 bicssc
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|a MAT012010
|2 bisacsh
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|a 516.35
|2 23
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|a Duistermaat, J.J.
|e author.
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|a Discrete Integrable Systems
|b QRT Maps and Elliptic Surfaces /
|c by J.J. Duistermaat.
|h [electronic resource] :
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| 250 |
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|a 1.
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| 264 |
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|a New York, NY :
|b Springer New York,
|c 2010.
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| 300 |
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|a XXII, 627p. 116 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Monographs in Mathematics,
|v 304
|x 1439-7382 ;
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| 505 |
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|a Introduction -- The QRT Map -- Complex Projective Curves -- The QRT Surface -- Pencils of Cubic Curves in the Projective Plane -- The Action of the QRT Map on Homology Classes -- Elliptic Surfaces -- Rational Elliptic Surfaces -- Examples from the Literature -- Appendices -- Index.
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| 520 |
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|a The 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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Geometry, algebraic.
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| 650 |
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|a Functions of complex variables.
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| 650 |
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|a Number theory.
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| 650 |
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4 |
|a Mathematics.
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| 650 |
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4 |
|a Algebraic Geometry.
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| 650 |
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4 |
|a Functions of a Complex Variable.
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| 650 |
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|a Theoretical, Mathematical and Computational Physics.
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| 650 |
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|a Number Theory.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781441971166
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| 830 |
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|a Springer Monographs in Mathematics,
|v 304
|x 1439-7382 ;
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| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-72923-7
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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