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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...
Qualitative Theory of Dynamical Systemsby Anthony N. Michel; Kaining Wang; Bo Hu
Marcel Dekker Inc 2001; US$ 239.95Revised and expanded for the second edition, this text presents material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics. more...
Fractal Geometryby Kenneth Falconer
John Wiley & Sons, Ltd. 2004; US$ 205.00Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition. * Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals. * Each topic is carefully explained and illustrated by examples and figures.... more...
Nonlinear Dynamicsby Alfredo Medio; Marji Lines
Cambridge University Press 2001; US$ 53.00A textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or as a reference book for researchers, in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics. Visit www.cambridge.org/resources/economics more...
Introduction to Dynamical Systemsby Michael Brin; Garrett Stuck
Cambridge University Press 2002; US$ 57.00This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines. 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...
Global Attractors of Non-Autonomous Dissipative Dynamical Systemsby David N. Cheban
World Scientific 2004; US$ 114.40The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. more...
Geometric Methods for Discrete Dynamical Systemsby Robert W. Easton
Oxford University Press 1998; US$ 170.00This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems. more...
Multifractalsby David Harte
CRC Press 2001; US$ 99.95Although multifractal measures are rooted in probability theory, much of the literature is found in physics and mathematics. Harte, a statistician and earthquake forecaster in New Zealand, pulls together ideas from multiple disciplines to place the material into a probabilistic and statistical context, using language familiar to statistical scienti more...
An Introduction to Semiflowsby Albert J. Milani
CRC Press 2004; US$ 99.95Semiflows are a class of dynamical systems, meaning that they help to describe how one state develops into another state over the course of time. This work concentrates on surveying existing research in continuous semi-dynamical systems. more...









