Buch, Englisch, 140 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 2666 g
Buch, Englisch, 140 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 2666 g
Reihe: Advanced Courses in Mathematics - CRM Barcelona
ISBN: 978-3-319-33502-5
Verlag: Springer International Publishing
Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields.
Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
Integrable Systems and Differential Galois Theory.- Singularities of bi-Hamiltonian Systems and Stability Analysis.- Geometry of Integrable non-Hamiltonian Systems.
