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Mathematics - Algebra | Discrete Integrable Systems - QRT Maps and Elliptic Surfaces (Reviews)

Discrete Integrable Systems

QRT Maps and Elliptic Surfaces

Duistermaat, J.J.

2010, XXII, 627p. 116 illus..

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From the reviews:

“The book … takes us on a tour of the field and provides us with a wealth of applications of various concepts coming from algebraic and analytic geometry to dynamical systems. … the book gives an exhaustive analysis of discrete algebraically integrable maps in two dimensions. The bibliography contains over 200 references, and covers recent works as well as fundamental titles, making it an inescapable encyclopaedic reference on the subject.” (Claude M. Viallet, Bulletin of the London Mathematical Society, Vol. 45 (4), August, 2013)

“This is an excellent book for graduates and researchers who have some knowledge of integrable systems and a rudimentary understanding of algebraic geometry. … Overall, this book delivers an excellent overview of a geometric interpretation of this class of discrete integrable systems, and is written in a manner that is fairly accessible to a postgraduate student or keen researcher in integrable systems.” (C. M. Ormerod, G. R. W. Quispel and J. A. G. Roberts, SIAM Review, Vol. 54 (1), 2012)

 

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