Overview

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.

Full Product Details

Author:   Boris Kruglikov ,  Valentin Lychagin ,  Eldar Straume
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2009 ed.
Volume:   5
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.611kg
ISBN:  

9783642269332

ISBN 10:   3642269338
Pages:   386
Publication Date:   14 March 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Some Canonical Structures of Cartan Planes in Jet Spaces and Applications.- Transformations of Darboux Integrable Systems.- Differential Geometric Heuristics for Riemannian Optimal Mass Transportation.- On Rank Problems for Planar Webs and Projective Structures.- Niceness Theorems.- The Polynomial Algebra and Quantizations of Electromagnetic Fields.- A Bridge Between Lie Symmetries and Galois Groups.- Focal Systems for Pfaffian Systems with Characteristics.- Hamiltonian Structures for General PDEs.- Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond.- Classification of Monge#x2013;Ampe#x00E8;re Equations.- On Nonabelian Theories and Abelian Differentials.- Geometric Aspects of the Quantization of a Rigid Body.- Shooting for the Eight.- Compatible Poisson brackets, quadratic Poisson algebras and classical -matrices.- Contact Geometry of Second Order I.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions