Buch, Englisch, 386 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 837 g
Reihe: Abel Symposia
The Abel Symposium 2008
Buch, Englisch, 386 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 837 g
Reihe: Abel Symposia
ISBN: 978-3-642-00872-6
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
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.
