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

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

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

Table of Contents

I.Anderson, M.Fels: Internal Equivalences for Darboux Integrable.- Ph.Delanoe: Differential Geometric Heuristics for Riemannian Optimal Mass Transportation.- V.V.Goldberg, V.V. Lychagin : On Rank Problems for Planar Webs and Projective Structures.- H.L.Huru: The Polynomial Algebra and Quantizations of Electromagnetic Fields.- N.H.Ibragimov: A Bridge Between Lie Symmetries and Galois Groups.- N.Kamran: Focal Systems for Pfaffian Systems with Characteristics.- P.Kersten, I.S.Krasil: Hamiltonian Structures for General PDE.- B.Kruglikov: Point Classification of 2nd Order ODEs: Tresse Classification Revisited and Beyond.- A.G.Kushner: Classification of Monge-Ampere Equations.- A.Marshakov: On Nonabelian Theories and Abelian Differentials.- R.Moeckel: Shooting for the Eight - A Topological Existence Proof for a Figure-Eight Orbit of the Three-Body Problem.- R.J.Alonso, S.Jimenez, J. Rodriguez: Some Canonical Structures of Cartan Planes in Jet Spaces and Applications.- V.Roubtsov , T.Skrypnyk: Compatible Poisson Brackets, Quadratic Poisson Algebras and Classical r-matrices.- M.Modugno, C.Tejero Prieto: Geometric Aspects of the Quantization of a Rigid Body.- K.Yamaguchi: Contact Geometry of Second Order I

Product Details

ISBN:
9783642269332
Author:
Kruglikov, Boris
Publisher:
Springer
Author:
Straume, Eldar
Author:
Lychagin, Valentin
Location:
Berlin, Heidelberg
Subject:
Differential Equations
Subject:
Equivalence
Subject:
integrability
Subject:
Invariance
Subject:
Quantization
Subject:
Symmetry
Subject:
ordinary differential equations
Subject:
Geometry
Subject:
Algebra
Subject:
Analysis
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics - Algebra
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
2009
Series:
Abel Symposia
Series Volume:
5
Publication Date:
20120225
Binding:
TRADE PAPER
Language:
English
Pages:
400
Dimensions:
235 x 155 mm 602 gr

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Abel Symposia #5: Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008 New Trade Paper
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$200.95 In Stock
Product details 400 pages Springer - English 9783642269332 Reviews:
"Synopsis" by , This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.
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