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Softcover ISBN:  9780821868720 
Product Code:  CONM/549 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821882283 
Product Code:  CONM/549.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821868720 
eBook ISBN:  9780821882283 
Product Code:  CONM/549.B 
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Book DetailsContemporary MathematicsVolume: 549; 2011; 163 ppMSC: Primary 35; 34; 17; 70; 37; 22; 53; 39
This volume represents the 2009 Jairo Charris Seminar in Symmetries of Differential and Difference Equations, which was held at the Universidad Sergio Arboleda in Bogotá, 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 Matemáticas y sus Aplicaciones (IMA).ReadershipGraduate students and research mathematicians interested in using symmetries in various areas of analysis.

Table of Contents

Articles

A. Aparicio Monforte and J.A. Weil — A reduction method for higher order variational equations of Hamiltonian systems

N. H. Ibragimov — A survey on integration of parabolic equations by reducing them to the heat equation

S. Jiménez — Weil jets, Lie correspondences and applications

Jorge MozoFernández — Some applications of summability: An illustrated survey

J. Muñoz Díaz — The structure of time and inertial forces in Lagrangian mechanics

Peter J. Olver — Differential invariant algebras

Jacques Sauloy — The Stokes phenomenon for linear $q$difference equations

Kurt Bernardo Wolf — Finite Hamiltonian systems on phase space


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This volume represents the 2009 Jairo Charris Seminar in Symmetries of Differential and Difference Equations, which was held at the Universidad Sergio Arboleda in Bogotá, 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.
Graduate students and research mathematicians interested in using symmetries in various areas of analysis.

Articles

A. Aparicio Monforte and J.A. Weil — A reduction method for higher order variational equations of Hamiltonian systems

N. H. Ibragimov — A survey on integration of parabolic equations by reducing them to the heat equation

S. Jiménez — Weil jets, Lie correspondences and applications

Jorge MozoFernández — Some applications of summability: An illustrated survey

J. Muñoz Díaz — The structure of time and inertial forces in Lagrangian mechanics

Peter J. Olver — Differential invariant algebras

Jacques Sauloy — The Stokes phenomenon for linear $q$difference equations

Kurt Bernardo Wolf — Finite Hamiltonian systems on phase space