Differential Equations - Geometry, Symmetries and Integrability The Abel Symposium 2008 /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Kruglikov, Boris (Επιμελητής έκδοσης), Lychagin, Valentin (Επιμελητής έκδοσης), Straume, Eldar (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Σειρά:Abel Symposia ; 5
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Differential Equations - Geometry, Symmetries and Integrability  |h [electronic resource] :  |b The Abel Symposium 2008 /  |c edited by Boris Kruglikov, Valentin Lychagin, Eldar Straume. 
246 3 |a Proceedings of the Fifth Abel Symposium on Differential Equations: Geometry, Symmetries and Integrability, June 18–21, 2008, Tromsø, Norway 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2009. 
300 |a XIV, 386 p. 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Abel Symposia ;  |v 5 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Algebra. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Differential equations. 
650 0 |a Geometry. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Geometry. 
650 2 4 |a Algebra. 
650 2 4 |a Analysis. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
700 1 |a Kruglikov, Boris.  |e editor. 
700 1 |a Lychagin, Valentin.  |e editor. 
700 1 |a Straume, Eldar.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783642008726 
830 0 |a Abel Symposia ;  |v 5 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-00873-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)