Applied mathematics

The number of fuzzy logic applications is very large.

This volume consists of ten lectures given at an international workshop/conference on knot theory held in July 1996 at Waseda University Conference Center.

This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics.

This important book deals with vibrational mechanics - the new, intensively developing section of nonlinear dynamics and the theory of nonlinear oscillations.

This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs.

The main aim of this book is to raise and clear up the intriguing problems of noise and chaos in the nervous system.

This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters.

This book presents a powerful hybrid intelligent system based on fuzzy logic, neural networks, genetic algorithms and related intelligent techniques.

This book studies the actual financial phenomena underlying the evaluation of financial derivatives, which is today virtually identified with and even replaced by the study of the mathematical aspects of stochastic calculus as a model for such phenomena.

In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state.

Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject.

In the past two decades, there has been great progress in the theory of nonlinear partial differential equations.

Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc.

The world that surrounds us is a complex system of interacting objects.

This book describes adaptive methods of statistical numerical analysis using evaluation of integrals, solution of integral equations, boundary value problems of the theory of elasticity and heat conduction as examples.

Methods of nonlinear time series analysis are discussed from a dynamical systems perspective on the one hand, and from a statistical perspective on the other.

Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics.

This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory.

This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require.

This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.

The power of modelization in physics and in engineering is not in doubt, while in the biotechnological field many theoretical studies stop at the description level.

This important book provides information necessary for those dealing with stochastic calculus and pricing in the models of financial markets operating under uncertainty; introduces the reader to the main concepts, notions and results of stochastic financial mathematics; and develops applications of these results to various kinds of calculations required in financial engineering.

The book combines both rigor and intuition to derive most of the classical results of linear and nonlinear filtering and beyond.

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas.

The first volume of Frontiers of Computational Fluid Dynamics was published in 1994 and was dedicated to Prof Antony Jameson.

This book is devoted to the theory of chaotic oscillations in mechanical systems.

With better computing facilities now available, there is an ever-increasing need to ensure that elegant theoretical results on hardware reliability are computationally available.

This invaluable book contains lectures delivered at the celebrated Seminar in Mathematical Finance at the Courant Institute.

This is not a purely mathematical book.

Fuzzy logic control has become an important methodology in control engineering.

The organization of this study guide parallels that of Cheng F Lee's Statistics for Business and Financial Economics, providing a comprehensive treatment of every chapter.

The present book, Chaos and Fractals in Engineering, is written for all engineers and experts or graduate students or beginners working in the application fields, and for experimental scientists in general.

This book concerns the development of a theory of complex phenomena; using such concepts as fractals; chaos; and fractional derivatives; but; most important; the idea of an allometric control process is developed.

This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science.

This book focuses on the successes and difficulties of nonlinear studies, particularly in the areas of Mind Sciences.

Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science.

This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods.

Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description.

This volume collects the articles presented at the Third International Conference on "e;The Navier-Stokes Equations: Theory and Numerical Methods"e;, held in Oberwolfach, Germany.

This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique.

In recent years quaternary codes have attracted the attention of the coding community as several notorious binary nonlinear codes containing more codewords than any known linear codes were found to be binary images under the Gray map of linear codes over 94.

Written by two top statisticians with experience in teaching matrix methods for applications in statistics, econometrics and related areas, this book provides a comprehensive treatment of the latest techniques in matrix algebra.

Motor monitoring, incipient fault detection, and diagnosis are important and difficult topics in the engineering field.

In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed.

In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given.

This important book describes procedures for selecting a model from a large set of competing statistical models.

The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics.

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems.

The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes.

In recent years, a great number of publications have explored the use of genetic algorithms as a tool for designing fuzzy systems.