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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
D Levi |

ISBN: | 9780521136587 052113658X |

OCLC Number: | 707626621 |

Notes: | Machine generated contents note: 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painleve; equations: continuous, discrete and ultradiscrete B. Grammaticos and A. Ramani; 3. Definitions and predictions of integrability for difference equations J. Hietarinta; 4. Orthogonal polynomials, their recursions, and functional equations M.E.H. Ismail; 5. Discrete Painleve; equations and orthogonal polynomials A. Its; 6. Generalized Lie symmetries for difference equations D. Levi and R.I. Yamilov; 7. Four lectures on discrete systems S.P. Novikov; 8. Lectures on moving frames P.J. Olver; 9. Lattices of compact semisimple Lie groups J. Patera; 10. Lectures on discrete differential geometry Yu. B Suris; 11. Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations P. Winternitz. |

Description: | xviii, 341 pages : illustrations ; 23 cm. |

Contents: | Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals / V. Dorodnitsyn and R. Kozlov -- Painlevé equations: continuous, discrete and ultradiscrete / B. Grammaticos and A. Ramani -- Definitions and predictions of integrability for difference equations / J. Hietarinta -- Orthogonal polynomials, their recursions, and functional equations / M.E.H. Ismail -- Discrete Painlevé equations and orthogonal polynomials / A. Its -- Generalized Lie symmetries for difference equations / D. Levi and R.I. Yamilov -- Four lectures on discrete systems / S.P. Novikov -- Lectures on moving frames / P.J. Olver -- Lattices of compact semisimple Lie groups / J. Patera -- Lectures on discrete differential geometry / Yu. B Suris -- Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations / P. Winternitz. |

Series Title: | London Mathematical Society lecture note series, 381. |

Responsibility: | edited by Decio Levi [and others]. |

More information: |

### Abstract:

A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field.
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## Reviews

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Publisher Synopsis

'The book can certainly be recommended to everyone interested in having a comprehensive overview of the current state of the art in this fascinating and important research field.' Frans Cantrijn, Mathematical Reviews "The book can certainly be recommended to everyone interested in having a comprehensive overview of the current state of the art in this fascinating and important research field." Frans Cantrijn, Mathematical Reviews Read more...

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