Applied mathematics

Over the last 50 years or so, a number of textbooks, monographs and even popular books have been published on nonlinear control theory and design methods.

In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday.

Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion.

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves.

In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities.

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments.

This book introduces a practical approach to the modelling and computation of real-world systems.

There has been a tremendous growth in the volume of financial transactions based on mathematics, reflecting the confidence in the Nobel-Prize-winning Black-Scholes option theory.

Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives.

This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.

Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research.

This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994.

This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale.

This series of volumes on the "e;Frontiers of Computational Fluid Dynamics"e; was introduced to honor contributors who have made a major impact on the field.

This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics.

This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance.

This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics.

This book is an essential reference for engineers and scientists working in the field of turbulence.

In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation.

This book introduces an analytically tractable and computationally effective class of non-Gaussian models for shocks (regular Levy processes of the exponential type) and related analytical methods similar to the initial Merton-Black-Scholes approach, which the authors call the Merton-Black-Scholes theory.

The research results published in this book range from pure mathematical theory (semigroup theory, discrete mathematics, etc.

First organized in 1981, the WASCOM conference to bring together researchers and scientists from all over the world to discuss problems, promote collaborations and shape future directions for research in the field of stability and wave propagation in continuous media.

This book applies complexity theory to cognitive science, and the result is a transformation of this field.

Economics and the social sciences are, in fact, the "e;hard"e; sciences, as Herbert Simon argued, because the complexity of the problems dealt with cannot simply be reduced to analytically solvable models or decomposed into separate subprocesses.

This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression-enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems.

This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.

The advent of mathematical software has been one of the most important events in mathematics.

Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability.

This book deals with different modern topics in probability, statistics and operations research.

A random field is a mathematical model of evolutional fluctuating complex systems parametrized by a multi-dimensional manifold like a curve or a surface.

The thematic term on "e;Semigroups, Algorithms, Automata and Languages"e; organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages.

Cellular computing is a natural information processing paradigm, capable of modeling various biological, physical and social phenomena, as well as other kinds of complex adaptive systems.

The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology.

Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author of this publication and his collaborators.

This book on modelling and simulation in biomathematics will be invaluable to researchers who are interested in the emerging areas of the field.

This book is a collection of selected refereed papers presented at the International Conference on Statistics, Combinatorics and Related Areas, and the Eighth International Conference of the Forum for Interdisciplinary Mathematics.

The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases.

This volume covers some of the most recent and significant advances in computer mathematics.

This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models.

This volume contains recent research papers presented at the international workshop on "e;Probabilistic Methods in Fluids"e; held in Swansea.

This book contains the papers presented at the conference on "e;Mathematical Models and Methods for Smart Materials"e;, held in Italy in 2001.

The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics.

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.

This book deals with 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract.

This book is an inspirational introduction to modern research directions and scholarship in nonlinear dynamics, and will also be a valuable reference for researchers in the field.

This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes.

The first International Conference on Inverse Problems was held at the City University of Hong Kong in January 2002.

This book is the second volume of lecture notes on various topics in nonlinear physics delivered by specialists in the field who gave courses in the small village of Peyresq (France) during summer schools (2000, 2001, 2002) organised by the Institut Non Lineaire de Nice (INLN), in collaboration with the Institut de Recherche de Physique Hors Equilibre (IRPHE).

Technical problems often lead to differential equations with piecewise-smooth right-hand sides.

The ICTCA conference provides an interdisciplinary forum for active researchers in academia and industry who are of varying backgrounds to discuss the state-of-the-art developments and results in theoretical and computational acoustics and related topics.