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Elsevier

North Holland

  • Universal Spaces and Mappings

    • 1st Edition
    • Volume 198
    • S.D. Iliadis
    • English
    Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on.

  • Handbook of Complex Analysis

    Geometric Function Theory
    • 1st Edition
    • Reiner Kuhnau
    • English
    Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane).

  • Handbook on the Physics and Chemistry of Rare Earths

    • 1st Edition
    • Volume 34
    • English
    This volume of the Handbook adds five new chapters to the science of rare earths. Two of the chapters deal with intermetallic compounds. An overview of ternary systems containing rare earths, transition metals and indium – Chapter 218 – opens the volume. It is followed by Chapter 219 sorting out relationships between superconductivity and magnetism. The next two chapters are dedicated to complex compounds of rare earths: Chapter 220 describes structural studies using circularly polarized luminescence spectroscopy of lanthanide systems, while Chapter 221 examines rare-earth metal-organic frameworks, also known as coordination polymers. The final Chapter 222 deals with the catalytic activity of rare earths in site-selective hydrolysis of DNA and RNA.

  • Handbook of Mathematical Fluid Dynamics

    • 1st Edition
    • Volume 3
    • 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.

  • Parallel Computing: Software Technology, Algorithms, Architectures & Applications

    Proceedings of the International Conference ParCo2003, Dresden, Germany
    • 1st Edition
    • Volume 13
    • Gerhard Joubert + 3 more
    • English
    Advances in Parallel Computing series presents the theory and use of of parallel computer systems, including vector, pipeline, array, fifth and future generation computers and neural computers. This volume features original research work, as well as accounts on practical experience with and techniques for the use of parallel computers.

  • Handbook of Differential Equations: Evolutionary Equations

    • 1st Edition
    • Volume 1
    • C.M. Dafermos + 1 more
    • English
    This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-st... of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE’s: from theory to numerics

  • Dislocations in Solids

    • 1st Edition
    • Volume 12
    • English
    This is the first volume to appear under the joint editorship of J.P. Hirth and F.R.N. Nabarro. While Volume 11 concentrated on the single topic of dislocations and work hardening, the present volume spreads over the whole range of the study of dislocations from the application by Kléman and his colleagues of homotopy theory to classifying the line and point defects of mesomorphic phases to Chaudhri's account of the experimental observations of dislocations formed around indentations.Chapter 64, by Cai, Bulatove, Chang, Li and Yip, discusses the influence of the structure of the core of a dislocation on its mobility. The power of modern computation allows this topic to be treated from the first principles of electron theory, and with empirical potentials for more complicated problems. Advances in electron microscopy allow these theoretical predictions to be tested.In Chapter 65, Xu analyzes the emission of dislocations from the tip of a crack and its influence on the brittle to ductile transition. Again, the treatment is predominantly theoretical, but it is consistently related to the very practical example of alpha iron.In a dazzling interplay of experiment and abstract mathematics, Kléman, Lavrentovich and Nastishin analyze the line and point structural defects of the many mesomorphic phases which have become known in recent years.Chapter 67, by Coupeau, Girard and Rabier, is essentially experimental. It shows how the various modern techniques of scanning probe microscopy can be used to study dislocations and their interaction with the free surface.Chapter 68, by Mitchell and Heuer, considers the complex dislocations that can form in ceramic crystals on the basis of observations by transmission electron microscopy and presents mechanistic models for the motion of the dislocations in various temperature regimes.While the underlying aim of the study of dislocations in energetic crystals by Armstrong and Elban in Chapter 69 is to understand the role of dislocations in the process of detonation, it has the wider interest of studying dislocations in molecular crystals which are ``elastically soft, plastically hard, and brittle''.Chaudhri in Chapter 70 discusses the role of dislocations in indentation processes, largely on the basis of the elastic analysis by E.H. Yoffe. The special case of nanoindentations is treated only briefly.

  • Handbook of Differential Equations: Ordinary Differential Equations

    • 1st Edition
    • Volume 1
    • A. Canada + 2 more
    • English
    The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

  • Handbook of Regional and Urban Economics

    Cities and Geography
    • 1st Edition
    • Volume 4
    • V. Henderson + 1 more
    • English
    The new Handbook of Regional and Urban Economics: Cities and Geography reviews, synthesizes and extends the key developments in urban and regional economics and their strong connection to other recent developments in modern economics. Of particular interest is the development of the new economic geography and its incorporation along with innovations in industrial organization, endogenous growth, network theory and applied econometrics into urban and regional economics. The chapters cover theoretical developments concerning the forces of agglomeration, the nature of neighborhoods and human capital externalities, the foundations of systems of cities, the development of local political institutions, regional agglomerations and regional growth. Such massive progress in understanding the theory behind urban and regional phenomenon is consistent with on-going progress in the field since the late 1960’s. What is unprecedented are the developments on the empirical side: the development of a wide body of knowledge concerning the nature of urban externalities, city size distributions, urban sprawl, urban and regional trade, and regional convergence, as well as a body of knowledge on specific regions of the world—Europe, Asia and North America, both current and historical. The Handbook is a key reference piece for anyone wishing to understand the developments in the field.

  • Handbook of Differential Equations: Stationary Partial Differential Equations

    • 1st Edition
    • Michel Chipot + 1 more
    • English
    The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields.

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