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#### Integrable Systems

Oxford University Press 2013; US$ 41.99This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal... more...

#### Action-minimizing Methods in Hamiltonian Dynamics (MN-50)

Princeton University Press 2015; US$ 42.95 US$ 39.08John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess... more...

#### Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Springer International Publishing 2014; US$ 49.28This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are... more...

#### Quantum Integrable Systems

CRC Press 2004; US$ 159.95The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the more... more...

#### Simulating Hamiltonian Dynamics

Cambridge University Press 2005; US$ 64.00A complete theoretical framework and guide to numerical geometric integration techniques. Includes examples and exercises. more...

#### Random Dynamical Systems

Cambridge University Press 2007; US$ 44.00Surveys topics in the theory and applications of dynamical systems subject to random shocks. more...

#### Introduction to the Perturbation Theory of Hamiltonian Systems

Springer Berlin Heidelberg 2009; US$ 126.08This 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... more...

#### The Restricted 3-Body Problem: Plane Periodic Orbits

De Gruyter 1994; US$ 280.00The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question.... more...

#### Hamiltonian Cycle Problem and Markov Chains

Springer New York 2012; US$ 126.08This book summarizes a line of research that maps certain classical problems of discrete mathematics and operations research - such as the Hamiltonian cycle and the Travelling Salesman problems – into convex domains where continuum analysis can be carried out. more...

#### Geometry of Nonholonomically Constrained Systems

World Scientific Publishing Company 2009; US$ 106.00 US$ 96.46This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions.... more...