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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...
The Mountain Pass Theoremby Youssef Jabri; G.-C. Rota
Cambridge University Press 2003; US$ 76.00This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity and more. But it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. more...
Real and Complex Singularitiesby Marcelo J. Saia
Marcel Dekker Inc 2003; US$ 199.95This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. 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...
Harmonic Maps, Conservation Laws and Moving Framesby Frédéric Hélein; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2002; US$ 112.00An accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics. more...
Frobenius Manifolds and Moduli Spaces for Singularitiesby Claus Hertling; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2002; US$ 107.00The author presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications. Readers will find here a careful study of this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students wishing to work in this area. 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...









