Mathematics - General

This volume is a collection of some of the most significant mathematical works of Prof Richard E Bellman. Ten areas of Prof Bellman's mathematical research were selected by his co-workers for this volume. Each chapter starts with an introductory comment on the significance of...

This volume focuses on the recent rapid growth in both experimental and theoretical studies of multiphoton processes and multiphoton spectroscopy of atoms, ions and molecules in chemistry, physics, biology, material sciences, etc. It contains papers readable by active researchers and by those who intend...

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.This invaluable book features bibliographies, important papers, and speeches (for example at...

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.This invaluable book features bibliographies, important papers, and speeches (for example at...

MATLAB is currently the language of technical computing most known and used in academia, industry and services. It is composed of a set of tools and a very large number of functions, graphics objects with associated properties and operators.The book begins by looking at...

The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical...

Math Wonderland is a museum of interactive mathematical models in Hokkaido, Japan, founded by one of the authors, Jin Akiyama, in 2003. The models in Wonderland, many of which have been exhibited all over Japan and in cities around the world, are meant to...

This important book consists of surveys of high-frequency financial data analysis and econometric forecasting, written by pioneers in these areas including Nobel laureate Lawrence Klein. Some of the chapters were presented as tutorials to an audience in the Econometric Forecasting and High-Frequency Data Analysis...

Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal...

This is the fourth conference on "Supersymmetry and Perturbation Theory" (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc.Author: Sebastian WalcherISBN-10: 9812382410ISBN-13: 9789812382412Publisher: World Scientific Publishing CompanyLanguage: EnglishPublished: 01/15/2003Pages: 308Format: HardcoverWeight: 1.24lbsSize: 9.16h...

This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics,...

This invaluable book consists of 16 chapters written by some of the most notable researchers in the field of quantum Monte Carlo, highlighting the advances made since Lester Jr.'s 1997 monograph with the same title. It may be regarded as the proceedings of the...

This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics. The abundance of papers from numerous disciplines makes it exciting reading and provides a unifying thread through the topics, such...

The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new...

On April 20, 1951, Léon Van Hove presented his thesis "Sur certaines représentations unitaires d'un groupe infini de transformations' to the Université libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'été de...

Mathematical problems concerning time evolution of solutions related to nonlinear systems modelling dynamics of continuous media are of great interest both in wave propagation and in stability problems. During the last few decades many striking developments have taken place, especially in connection with the...

In this volume, topics such as the AdS/CFT correspondence, non-BPS states, noncommutative gauge theories and the Randall-Sundrum scenario are discussed. For the AdS/CFT correspondence, some of its generalizations, including examples of non-AdS/nonconformal backgrounds, are described. Myer's effect in this context and otherwise is also...

This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view. It describes applications of these processes in applied mathematics, signal analysis, nonlinear optics, fluid dynamics,...

This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole...

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 the area of classical control, for example, there exist books concerned with phase-plane analysis, describing function approach,...

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. The Whitham method, which describes the combining...

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time...

This book introduces a practical approach to the modelling and computation of real-world systems. Multibody dynamics, planar and spatial modelling, and numerical methods are all pursued to obtain information about the behaviour of various dynamical systems. Each study presents the method of modelling and...

This book extends the dynamic and stochastic analysis of economic efficiency by using the recent techniques of data envelopment analysis.New results and applications of these techniques in numerous areas of economics, finance and management are provided, including treatment of private sector industries, portfolio models...

This volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in...

This volume contains articles by leading mathematicians and physicists in different directions, such as geometry, probability, variational problems, dynamical systems, mathematical economics, quantum field theory, string theory and cosmology.Author: Khalil BitarISBN-10: 9810242239ISBN-13: 9789810242237Publisher: World Scientific Publishing CompanyLanguage: EnglishPublished: 07/28/2000Pages: 200Format: Hardcover

This book provides a concise description of the current status of a fascinating scientific problem -- the inverse variational problem in classical mechanics. The essence of this problem is as follows: one is given a set of equations of motion describing a certain classical...

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. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between...

Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on...

Automated reasoning programs are successfully tackling challenging problems in mathematics and logic, program verification, and circuit design. This two-volume book includes all the published papers of Dr Larry Wos, one of the world's pioneers in automated reasoning. It provides a wealth of information for...

Author: Takeyuki HidaISBN-10: 9810239343ISBN-13: 9789810239343Publisher: World Scientific Publishing CompanyLanguage: EnglishPublished: 08/16/1999Pages: 240Format: HardcoverWeight: 1.00lbsSize: 8.84h x 6.32w x 0.66d

Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see.Two dozen outstanding biologists, chemists, physicists, psychologists,...

There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides...

This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact,...

In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given. Specifically, his suggestion that some sort of quantum-set-like structure should underlie our macroscopic perception of spacetime is developed to the point where a...

This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.Author: S. TangmaneeISBN-10: 981023225XISBN-13: 9789810232252Publisher: World Scientific Publishing CompanyLanguage: EnglishPublished:...

Of all the different areas in computational chemistry, density functional theory (DFT) enjoys the most rapid development. Even at the level of the local density approximation (LDA), which is computationally less demanding, DFT can usually provide better answers than Hartree-Fock formalism for large systems...

This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional...

The quantum Monte Carlo (QMC) method is gaining interest as a complement to basis set ab initio methods in cases where high accuracy computation of atomic and molecular properties is desired. This volume focuses on recent advances in this area. QMC as used here...

This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis...

The book is a systematic summary of modern term structure theories and how interest rate contingent claims are priced under such theories. This is the first book on such an attempt. The book reviews important term structure models and chooses one model to consistantly...

In this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local...

This proceedings volume collects 24 papers out of the 130 presentations at the International Mathematics Conference '94, Kaohsiung. The papers cover a wide range of current research interests in the pacific region.Author: Ngai-Ching Wong,Wen-Jang HuangISBN-10: 9810224087ISBN-13: 9789810224080Publisher: World Scientific Publishing CompanyLanguage: EnglishPublished: 01/01/1996Pages: 252Format:...

The primary focus of this workshop concerns the interplay between the rich variety of structures and infinitesimal methods. The topics included in the volume are complex and harmonic analysis, complex algebraic geometry, differential geometry, mathematical physics and topology.Author: Kouei SekigawaISBN-10: 9810223404ISBN-13: 9789810223403Publisher: World Scientific...

Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and...

Market-Based Control is a paradigm for controlling complex systems that would otherwise be very difficult to control, maintain, or expand. The purpose of this volume is to illustrate the utility of market-based control through a series of papers focusing on different applications. This volume,...

Mathematical aesthetics is not discussed as a separate discipline in other books than this, even though it is reasonable to suppose that the foundations of physics lie in mathematical aesthetics. This book presents a list of mathematical principles that can be classified as "aesthetic"...

This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods...

This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits;...

This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C∗-algebras, index theory and low-dimensional topology. It contains survey articles by G Hector, S Hurder and P Molino, as well as more than 20...