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Elsevier

North Holland

  • Bilingual Sentence Processing

    • 1st Edition
    • Volume 134
    • Roberto Heredia + 1 more
    • English

  • Handbook of Mathematical Fluid Dynamics

    • 1st Edition
    • Volume 1
    • S. Friedlander + 1 more
    • English
    The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

  • Elsevier's Dictionary of Geographical Information Systems

    In English, German, French and Russian
    • 1st Edition
    • B. Delijska
    • English
    Elsevier's Dictionary of Geographical Information Systems contains 4,040 terms with about 1,700 cross-references that are commonly used in the theory and practice of geographical information systems. The terms were selected according to their significance or frequency of use. The terminology covers the areas of geoinformatics, geostatistics, computer cartography, geospatial databases, computer graphics, geodesy, photogrammetry, remote sensing, hardware and software for introduction, processing and visualization of geospatial data, etc. Geographical information systems are modern, widely distributed and strategic tools in many human activities (land survey and regulation, ecology, forestry, agronomy, demography, hydrology, urban planning, transport, etc.).Elsevier's Dictionary of Geographical Information Systems will be a valuable tool for specialists, scientists and students and for everyone who is interested in this area.

  • Nonlinear Partial Differential Equations and Their Applications

    College de France Seminar Volume XIV
    • 1st Edition
    • Volume 31
    • Doina Cioranescu + 1 more
    • English
    This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

  • Complex Numbers in n Dimensions

    • 1st Edition
    • Volume 190
    • S. Olariu
    • English
    Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined.The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers.The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functionsof the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions.In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible.The book presents a detailed analysis of the hypercomplex numbers in 2, 3 and 4 dimensions, then presents the properties of hypercomplex numbers in 5 and 6 dimensions, and it continues with a detailed analysis of polar and planar hypercomplex numbers in n dimensions. The essence of this book is the interplay between the algebraic, the geometric and the analytic facets of the relations.

  • Progress in Optics

    • 1st Edition
    • Volume 43
    • English
    The seven reviews articles presented in this volume cover a broad range of subjects. The first article is concerned with the use of active optics in modern, large telescopes. The second article discusses variational methods used in nonlinear fibre optics and in related fields. The article by O. Keller which follows deals with a topic of historical interest, presenting a account of researches of the Danish physicist L.V. Lorenz who in 1867 established the electrodynamic theory of light, independently of the work of James Clerk Maxwell. The fourth article is concerned with the canonical quantum description of light propagation in dielectric media. The fifth article by D. Dragoman describes the similarities and the differences between classical optics and quantum mechanics in phase space. The article by R. Boyd and D. Gauthier which follows, summarizes research on pulse propagation effects in resonant material system. The concluding article by A. Torre is concerned with the fractional Fourier transform and some of it applications in optics. It is clear that the articles in this volume cover a broad range of subjects, some of which are likely to be of interest to many scientists concerned with optical theory or with optical devices.

  • Almost Free Modules

    Set-theoretic Methods
    • 1st Edition
    • Volume 65
    • P.C. Eklof + 1 more
    • English
    This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's pcf theory to constuct almost free groups. As with the first edition, the book is largely self-contained, and designed to be accessible to both graduate students and researchers in both algebra and logic. They will find there an introduction to powerful techniques which they may find useful in their own work.

  • Chips Challenging Champions

    Games, Computers and Artificial Intelligence
    • 1st Edition
    • J. Schaeffer + 1 more
    • English
    One of the earliest dreams of the fledgling field of artificial intelligence (AI) was to build computer programs that could play games as well as or better than the best human players. Despite early optimism in the field, the challenge proved to be surprisingly difficult. However, the 1990s saw amazing progress. Computers are now better than humans in checkers, Othello and Scrabble; are at least as good as the best humans in backgammon and chess; and are rapidly improving at hex, go, poker, and shogi. This book documents the progress made in computers playing games and puzzles. The book is the definitive source for material of high-performance game-playing programs.

  • Parallel Computational Fluid Dynamics 2001, Practice and Theory

    • 1st Edition
    • P. Wilders + 4 more
    • English
    ParCFD 2001, the thirteenth international conference on Parallel Computational Fluid Dynamics took place in Egmond aan Zee, the Netherlands, from May 21-23, 2001. The specialized, high-level ParCFD conferences are organized yearly on traveling locations all over the world. A strong back-up is given by the central organization located in the USA http://www.parcfd.or... proceedings of ParCFD 2001 represent 70% of the oral lectures presented at the meeting. All published papers were subjected to a refereeing process, which resulted in a uniformly high quality. The papers cover not only the traditional areas of the ParCFD conferences, e.g. numerical schemes and algorithms, tools and environments, interdisciplinary topics, industrial applications, but, following local interests, also environmental and medical issues. These proceedings present an up-to-date overview of the state of the art in parallel computational fluid dynamics.

  • Handbook of Dynamical Systems

    • 1st Edition
    • Volume 2
    • B. Fiedler
    • English
    This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

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