Product Description: Instead of indiscriminately featuring everything and the kitchen sink, The HUNT team has donned our curatorial colored glasses and carefully selected 100 or so unique, authentic local Chicago businesses that range from eye-popping and brand spankin new to deeply patinated and way off the beaten track, funky and unexpected to chic and shiny...read more

Product Description: From the team at JustCoding Learning new coding conventions and guidelines isn't the only training coders are likely to need for ICD-10-CM. The new code set may require coders to refresh or learn aspects of anatomy that were not relevant for ICD-9-CM coding...read more

Product Description: This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics...read more

Product Description: Applications of Fractals and Chaos presents new developments in this rapidlydeveloping subject area. The presentation is more than merely theoretical, it specifically presents particular applications in a wide range of applications areas...read more

Product Description: The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors...read more

Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.

Product Description: This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics  -- integrable systems, Poincaré maps, chaos, fractals and strange attractors...read more

Product Description: A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda­ tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos...read more

Product Description: An introduction to both topics in dynamical systems and mathematical thinking. In particular, the authors emphasize those parts of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the understanding of the parametrized family of functions h(x) = rx(1-x)...read more

Product Description: Open this book and discover the origins of chaos theory, investigate complex systems, understand the causes of chaos, and become aware of its everyday implications.

Product Description: This IMA Volume in Mathematics and its Applications CHAOTIC PROCESSES IN THE GEOLOGICAL SCIENCES is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications"...read more

Product Description: This book consists of two parts, the first dealing with dissipative structures and the second with the structure and physics of chaos. The first part was written by Y. Kuramoto and the second part by H. Mori. Throughout the book, emphasis is laid on fundamental concepts and methods rather than applications, which are too numerous to be treated here...read more

This book presents a unified framework (based on spatial interaction models) that encapsulates most of the models developed so far for the analyses of spatial patterns of human activities at both a static and a dynamic level. The book shows how such models can be associated in a static analysis, with macro- and meso-oriented entropy theory and micro-oriented random utility theory. In a dynamic analysis such models can be seen as the result of an optimal trajectory through which a closed system approaches an equilibrium state, in both a deterministic and stochastic framework. However spatial interaction models can exhibit chaotic patterns under particular conditions, since they can be linked to both a logistic form (in a degenerate case) and interrelated logistics (in a general case). Finally, such models may serve to form a broad "envelope" incorporating many dynamic models currently used, which end up with logistic structures. The theoretical-methodological foundations are original, as various tools originating from different disciplines (e.g. economics, mathematics, physics, statistics, biology and natural sciences) are used to develop a unified framework.

Product Description: One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint...read more

Product Description: This volume contains the proceedings of the US-Australia workshop on Control and Chaos held in Honolulu, Hawaii from 29 June to 1 July, 1995. The workshop was jointly sponsored by the National Science Foundation (USA) and the Department of Industry, Science and Technology (Australia) under the US-Australia agreement...read more

Product Description: This volume represents the proceedings of a NATO Advanced Study Institute held at Noto, Sicily June 8-19, 1987. The director was Giovanni Gallavotti, Roma, with co-directors Marcello Anile, Catania and P. F. Zweifel, Virginia Tech...read more

Product Description: The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late-twentieth-century science. Universal constants in chaotic behavior have been discovered, changing our understanding of important phenomena in such fields as physics, biology, chemistry, economics, and medicine...read more