Author

Publication

2019-05-30 - American Mathematical Society

Language

English

Word Count

36,500 words, Guess

Page Count

146 pages

Physical Format

Paperback

Identifiers

  • ISBN-101470450380
  • ISBN-139781470450380
  • Library of Congress Control Number2018058757
  • OCLC Control Number1080248526
  • Better World Books9781470450380
and 1 more

Classifications

  • LCCQA372.J67 2019
  • LCCQA372 .J67 2019

Description

"Discrete Painleve equations are nonlinear difference equations, which arise from translations on crystallographic lattices. The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics. This book necessarily starts with introductory material to give the reader an accessible entry point to this vast subject matter. It is based on lectures that the author presented as principal lecturer at a Conference Board of Mathematical Sciences and National Science Foundation conference in Texas in 2016. Instead of technical theorems or complete proofs, the book relies on providing essential points of many arguments through explicit examples, with the hope that they will be useful for applied mathematicians and physicists."--Back cover.

Subjects

Topics

Painlevé equationsPainleve equationsNonlinear Differential equationsDifferential equations, nonlinearAlgebraic geometry -- Birational geometry -- Global theory and resolution of singularitiesDifference and functional equations -- Difference equations -- Equations in the complex domainAlgebraic geometry -- Birational geometry -- Birational automorphisms, Cremona group and generalizations

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