Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems PDF full book. Access full book title Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems by Robert Hermann. Download full books in PDF and EPUB format.
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 376
Get Book Here
Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 376
Get Book Here
Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category :
Languages : en
Pages : 347
Get Book Here
Book Description
Author:
Publisher: World Scientific
ISBN: 9814282251
Category : Fluid dynamics
Languages : en
Pages : 444
Get Book Here
Book Description
"This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics."-
Author: Gleb Arutyunov
Publisher: Springer
ISBN: 303024198X
Category : Science
Languages : en
Pages : 420
Get Book Here
Book Description
Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.
Author: G. Giachetta
Publisher: World Scientific
ISBN: 9814313726
Category : Science
Languages : en
Pages : 405
Get Book Here
Book Description
The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.
Author: Alwyn Scott
Publisher: Routledge
ISBN: 1135455589
Category : Reference
Languages : en
Pages : 1107
Get Book Here
Book Description
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 624
Get Book Here
Book Description
Author: Francesco Bullo
Publisher: Springer
ISBN: 1489972765
Category : Science
Languages : en
Pages : 741
Get Book Here
Book Description
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692460
Category : Mathematics
Languages : en
Pages : 205
Get Book Here
Book Description
Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
