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    • Handbook of Mathematical Fluid Dynamics

      • 1st Edition
      • Volume 3
      • October 6, 2004
      • S. Friedlander + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 5 5 6 8
      • eBook
        9 7 8 0 0 8 0 4 7 2 9 1 1
      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

      • 1st Edition
      • Volume 13
      • September 23, 2004
      • Gerhard Joubert + 3 more
      • English
      • eBook
        9 7 8 0 0 8 0 5 3 8 4 3 3
      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
      • August 24, 2004
      • C.M. Dafermos + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 1 3 1 7
      • eBook
        9 7 8 0 0 8 0 5 2 1 8 2 4
      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
      • August 5, 2004
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 4 8 3 7
      • eBook
        9 7 8 0 0 8 0 4 7 2 5 4 6
      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
      • August 1, 2004
      • A. Canada + 2 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 1 2 8 7
      • eBook
        9 7 8 0 0 8 0 5 3 2 8 2 0
      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

      • 1st Edition
      • Volume 4
      • July 21, 2004
      • V. Henderson + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 9 6 7 3
      • eBook
        9 7 8 0 0 8 0 4 9 5 1 2 5
      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
      • July 6, 2004
      • Michel Chipot + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 1 2 6 3
      • eBook
        9 7 8 0 0 8 0 4 9 5 0 6 4
      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.

    • Defense Mechanisms

      • 1st Edition
      • Volume 136
      • June 12, 2004
      • Uwe Hentschel + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 6 1 2 7 5
      • Hardback
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      • eBook
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      The book is focused on defense mechanisms as theoretical constructs as well as the possibilities of their empirical registration by different methods, and the application of these constructs in different fields of psychology with special regard to concurrent and predictive validity. It is argued that defense mechanisms are in many ways to be seen as integrative constructs, not necessarily restricted to psychoanalytic theory and that the potential fields of their application have a wide ranging scope, comprising many fields of psychology. Consequently empirical studies are presented from the fields of clinical and personality psychology, psychotherapy research and psychosomatic phenomena and diseases. Methodological questions have a heavy weight in most of these studies.

    • Progress in Optics

      • 1st Edition
      • Volume 46
      • May 20, 2004
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Optics has become one of the most dynamic fields of science since the first volume of Progress in Optics was published, forty years ago. At the time of inception of this series, the first lasers were only just becoming operational, holography was in its infancy, subjects such as fiber optics, integrated optics and optoelectronics did not exist and quantum optics was the domain of only a few physicists. The term photonics had not yet been coined. Today these fields are flourishing and have become areas of specialisation for many science and engineering students and numerous research workers and engineers throughout the world. Some of the advances in these fields have been recognized by awarding Nobel prizes to seven physicists in the last twenty years. The volumes in this series which have appeared up to now contain 240 review articles by distinguished research workers, which have become permanent records for many important developments. They have helped optical scientists and optical engineers to stay abreast of their fields. There is no sign that developments in optics are slowing down or becoming less interesting. We confidently expect that, just like their predecessors, future volumes of Progress in Optics will faithfully record the most important advances that are being made in optics and related fields.

    • The Rise of Modern Logic: from Leibniz to Frege

      • 1st Edition
      • Volume 3
      • March 8, 2004
      • Dov M. Gabbay + 1 more
      • English
      • Paperback
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      • Hardback
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      • eBook
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      With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

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