Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia
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Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia
(Contemporary mathematics, 549)
American Mathematical Society, c2011
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SRTDDE
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
Colombia/2009-S/Proc.2080283527
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"Instituto de Matemáticas y sus Aplicaciones"
Includes bibliographical references
Description and Table of Contents
Description
This volume represents the 2009 Jairo Charris Seminar in Symmetries of Differential and Difference Equations, which was held at the Universidad Sergio Arboleda in Bogota, Colombia. The papers include topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, namely differential Galois theory and Stokes phenomenon, and the development of some geometrical methods in theoretical physics
The reader will find new interesting results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, the mathematical nature of time in Lagrangian mechanics and the preservation of the equations of motion by changes of frame, and discrete Hamiltonian systems arising in geometrical optics and analogous to those of finite quantum mechanics.
This book is published in cooperation with Instituto de Matematicas y sus Aplicaciones (IMA).
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