Placeholder text
Geometry of Integrable Systems
0 - Default Title
Description
This book is organized into two parts. Part I contains a detailed, elementary exposition of the topics needed to start a serious geometrical analysis of complete integrability. This includes a background in symplectic and Poisson geometry, the study of Hamiltonian systems with symmetry, a primer on the theory of completely integrable systems, and a presentation of bi-Hamiltonian geometry.
Part II is devoted to the analysis of three classical examples of integrable systems. This includes the description of the (free) n-dimensional rigid-body, the rational Calogero-Moser system, and the open Toda system. In each case, ths system is described, its integrability is discussed, and at least one of its (known) bi-Hamiltonian descriptions is presented.
This work can benefit advanced undergraduate and beginning graduate students with a strong interest in geometrical methods of mathematical physics. Prerequisites include an introductory course in differential geometry and some familiarity with Hamiltonian and Lagrangian mechanics.
Product details
Number of Pages:
584
Release Date:
2026-01-10
Publication Date:
2026-01-10
Publisher:
Springer
Languages:
Original:
English
ISBN10:
3031962818
ISBN13:
9783031962813
GPSR Manufacturer Reference:
Weight:
1031 g
Height:
160 cm
Width:
241 cm
Thickness:
37 cm
Currently sold out