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Quantum Integrable Systemsby A. Roy Chowdhury; A. Ghose Choudhury
Chapman & Hall/CRC 2004; US$ 124.95Over the past 30 years, significant advances have been made in the field of integrable systems and their applications in statistical mechanics and mathematical physics, yet no book on the subject has been published since 1993. This monograph, the work of established authors in quantum mechanics, introduces the subject in a clear, logical way. The treatment first builds the background in classical physics and nonlinear systems, then moves to the quantum case before presenting the latest research and applications. The authors' clear approach and examples based on concrete physical models rather than abstract mathematics make the book useful to both the theoretical and applications-oriented audiences. more...
Simulating Hamiltonian Dynamicsby Benedict Leimkuhler; Sebastian Reich; M. J. Ablowitz; S. H. Davis; E. J. Hinch; A. Iserles; J. Ockendon; P. J. Olver
Cambridge University Press 2005; US$ 76.00Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. more...
Random Dynamical Systemsby Rabi Bhattacharya; Mukul Majumdar
Cambridge University Press 2007; US$ 40.00Surveys topics in the theory and applications of dynamical systems subject to random shocks. more...
Introduction to Hamiltonian Dynamical Systems and the N-Body Problemby Philip Holmes; James Keener
Springer 2009; US$ 79.95Based on the notes from a graduate course taught to students in mathematics and mechanical engineering, this text takes students who had some basic knowledge of differential equations and leads them through a systematic grounding in the theory of Hamiltonian systems, an introduction to the theory of integrals and reduction. more...
Introduction to the Perturbation Theory of Hamiltonian Systemsby Dmitry Treschev
Springer 2010; US$ 99.00This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Despite its small size, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be of interest to researchers and graduate students of the KAM community and to scientists working in mechanics. more...
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