Differential Equations - Geometry, Symmetries and Integrability de Boris Kruglikov

Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008: Abel Symposia, cartea 5

Boris Kruglikov

Valentin Lychagin

Eldar Straume

en Limba Engleză Paperback – 14 mar 2012

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.

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	Preț	Express
Paperback (1)	627^.11 lei 6-8 săpt.
Springer Berlin, Heidelberg – 14 mar 2012	627^.11 lei 6-8 săpt.
Hardback (1)	633^.17 lei 6-8 săpt.
Springer Berlin, Heidelberg – 5 aug 2009	633^.17 lei 6-8 săpt.

Preț

Express

Paperback (1)

627^.11 lei 6-8 săpt.

Springer Berlin, Heidelberg – 14 mar 2012

627^.11 lei 6-8 săpt.

Hardback (1)

633^.17 lei 6-8 săpt.

Springer Berlin, Heidelberg – 5 aug 2009

633^.17 lei 6-8 săpt.

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Cuprins

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.