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    • Handbook of Complex Analysis

      • 1st Edition
      • December 5, 2002
      • Reiner Kuhnau
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 8 4 5 3
      • eBook
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      Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.

    • Dislocations in Solids

      • 1st Edition
      • Volume 11
      • December 5, 2002
      • Frank R.N. Nabarro + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 5 3 0 4 5 1
      Dislocations are lines of irregularity in the structure of a solid analogous to the bumps in a badly laid carpet. Like these bumps, they can be easily moved, and they provide the most important mechanism by which the solid can be deformed. They also have a strong influence on crystal growth and on the electronic properties of semiconductors.

    • Scientific and Engineering Computations for the 21st Century - Methodologies and Applications

      • 1st Edition
      • December 3, 2002
      • M. Mori + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 9 9 4 9
      • eBook
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      The 20th century saw tremendous achievements and progress in science and technology. Undoubtedly, computers and computer-related technologies acted as one of vital catalysts for accelerating this progress in the latter half of the century. The contributions of mathematical sciences have been equallyprofound, and the synergy between mathematics and computer science has played akey role in accelerating the progress of both fields as well as scienceand engineering.Mathemat... sciences will undoubtedly continue to play this vital role in thisnew century. In particular, mathematical modeling and numerical simulation will continue to be among the essential methodologies for solving massive and complex problems that arise in science, engineering and manufacturing. Underpinning this all from a sound, theoretical perspective will be numerical algorithms. In recognition of this observation, this volume focuses on the following specific topics.(1) Fundamental numerical algorithms(2) Applications of numerical algorithms(3) Emerging technologies.The articles included in this issue by experts on advanced scientific and engineering computations from numerous countries elucidate state-of-the-art achievements in these three topics from various angles and suggest the future directions. Although we cannot hope to cover all the aspects in scientific and engineering computations, we hope that the articles will interest, inform and inspire members of the science and engineering community.

    • Stochastic Dynamics. Modeling Solute Transport in Porous Media

      • 1st Edition
      • Volume 44
      • November 22, 2002
      • Don Kulasiri + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 1 0 2 7
      • Paperback
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      • eBook
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      Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor.The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book.

    • Recent Progress in General Topology II

      • 1st Edition
      • November 13, 2002
      • M. Husek + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 9 8 0 2
      • Paperback
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      The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade. It follows freelythe previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared inconnection with the Prague Topological Symposium, held in 2001. During the last 10 years the focusin General Topology changed and therefore the selection of topics differs slightly from thosechosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (includingInfinite-D... Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as:R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.

    • Handbook of Measure Theory

      • 1st Edition
      • October 31, 2002
      • E. Pap
      • English
      • eBook
        9 7 8 0 0 8 0 5 3 3 0 9 4
      The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathemat... from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.

    • Neutrons, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter

      • 1st Edition
      • October 30, 2002
      • P. Lindner + 1 more
      • English
      • Paperback
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      Scattering experiments, using X-ray, light and neutron sources (in historical order) are key techniques for studying structure and dynamics in systems containing colliods, polymers, surfactants and biological macromolecules, summarized here as soft condensed matter. The education in this field in Europe is very heterogeneous and frequently inadequate, which severely limits an efficient use of these methods, especially at large-scale facilities. The series of "Bombannes" schools and the completely revised and updated second edition of the lecture notes are devoted to a practical approach to current methodology of static and dynamic techiques. Basic information on data interpretation, on the complementarity of the different types of radiation, as well as information on recent applications and developments is presented. The aim is to avoid over - as well as under-exploitation of data.

    • Handbook of Public Economics

      • 1st Edition
      • Volume 4
      • October 21, 2002
      • A.J. Auerbach + 1 more
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 2 4 9 9
      • Hardback
        9 7 8 0 4 4 4 8 2 3 1 5 1
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      The publication of volumes 3 and 4 of the Handbook of Public Economics affords us several opportunities: to address lacunae in the original two volumes of this series, to revisit topics on which there has been substantial new research, and to address topics that have grown in importance. Indeed, many of the papers individually encompass all three of these elements. For each chapter relates to one from an earlier volume, the new contribution is free standing, written with the knowledge that the reader retains the opportunity to review the earlier chapter to compare perspectives and consider material that the current author has chosen not to cover. Indeed, such comparisons illuminate the evolution of the field during the two decades that have elapsed since work first began on the chapters in volume 1. Taken together, the four volumes offer a comprehensive review of research in public economics over the past few decades, written by many of the field's leading researchers.For more information on the Handbooks of Economics series, please see our homepage on http://www.elsevier....

    • Handbook of Magnetic Materials

      • 1st Edition
      • Volume 14
      • September 20, 2002
      • K.H.J. Buschow
      • English
      • Paperback
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      • Hardback
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      Magnetoelectronics is a novel and rapidly developing field. This new field is frequently referred to as spin-electronics or spintronics. It includes spin-utilizing devices that need neither a magnetic field nor magnetic materials. In semiconductor devices, the spin of the carriers has only played a very modest role so far because well established semiconductor devices are non-magnetic and show only negligible effects of spin. Nanoscale thin films and multilayers, nanocrystalline magnetic materials, granular films, and amorphous alloys have attracted much attention in the last few decades, in the field of basic research as well as in the broader field of materials science. Such heterogeneous materials display uncommon magnetic properties that virtually do no occur in bulk materials. This is true, in particular with respect to surface (interface) magnetic anisotropy and surface (interface) magnetostrictive strains and giant magnetoresistance. The local atomic arrangement at the interface differs strongly from that in the bulk. The local symmetry is lowered, so that some interactions are changed or are missing altogether.The interface atoms may envisaged as forming a new phase and some properties characteristic of this phase may become predominant for the entire system.This becomes particularly evident in the case of interfacial magnetostriction which can lead to a decrease (almost to zero) or to an increase(over the bulk value) of the resulting magnetostriction of the nanoscale system.There are various forms of the interplay of magnetism and superconductivity, which can be divided into competition and coexistence phenomena. For instance, a strong competition is found in high-Tc cuprates. In these materials, depending on the doping rate, either Neel-type antiferromagnetism moments (e.g. from 4f-elements) with superconductivity is known to occur in systems where the concentration of these moments is sufficiently small or where they are antiferromagneticall... ordered and only weakly coupled to the conduction electrons.During the years, intermetallic gadolinium compounds have adopted a special position in the study of 4f electron magnetism. The reason for this is the fact that the gadolinium moment consists only of a pure spin moment, orbital contributions to the moment being absent. As a consequence, gadolinium compounds have been regarded as ideal test benches for studying exchange interactions, free from complications due to crystal effects.Volume 14 of the Handbook of Magnetic Materials, as the preceding volumes, has a dual purpose. As a textbook it is intended to be of assistance to those who wish to be introduced to a given topic in the field of magnetism without the need to read the vast amount of literature published. As a work of reference it is intended for scientists active in magnetism research. To this dual purpose, volume 14 of the Handbook is composed of topical review articles written by leading authorities. In each of these articles an extensive description is given in graphical as well as tabular form, much emphasis being placed on the discussion of the experimental material in the framework of physics, chemistry and material science.

    • Handbook of the Logic of Argument and Inference

      • 1st Edition
      • Volume 1
      • September 11, 2002
      • R.H. Johnson + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 2 1 8 2
      • eBook
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      The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.

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