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    • Lie Algebras: Theory and Algorithms

      • 1st Edition
      • Volume 56
      • February 4, 2000
      • W.A. de Graaf
      • English
      • Hardback
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      • Paperback
        9 7 8 0 4 4 4 5 5 1 7 4 0
      • eBook
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      The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., [42], [48], [77], [86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof of theoretical results (we mention the proof of the Poincaré-Birkhoff-Wi... theorem and the proof of Iwasawa's theorem as examples). Also proofs that contain algorithmic constructions are explicitly formulated as algorithms (an example is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be used to arrive at a better understanding of the theory. Performing the algorithms in concrete examples, calculating with the concepts involved, really brings the theory of life.

    • Applications of Statistical Physics

      • 1st Edition
      • January 1, 2000
      • A. Gadomski + 3 more
      • English
      • Hardback
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      • eBook
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      The field of statistical physics has undergone a spectacular development in recent years. The fundamentals of the subject have advanced dynamically with multidisciplinary approaches involving physicists, chemists and mathematicians. Equally spectacular has been the development of applications of statistical mechanics to shed light on a wide range of problems, many of them arising in fields quite distant from traditional physics disciplines. Recent applications range from such topics as oil recovery from porous rock to protein folding, DNA structure, morphogenesis and the cooperative behavior of living creatures. Concepts and methods of statistical physics have been applied successfully to "exotic" problems that seem to be far from physics, such as vehicular and pedestrial traffic, or economy and finance. This book presents not only the keynote invited talks, but a number of high quality, interesting, contributed communications from senior scientists and young students active in the field. Topics covered include DNA migration, wetting, chemical waves, granular media, molecular motors, biological pattern formation and motion, as well as practical problems such as heart diagnosis, internet traffic jamming, oil recovery and econophysics.

    • Vision in Vehicles VII

      • 1st Edition
      • December 17, 1999
      • I.D. Brown + 2 more
      • A.G. Gale
      • English
      • Hardback
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      • eBook
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      The Seventh International Conference series on Vision in Vehicles was held in Marseilles in September 1997. This event was run in conjunction with the Applied Vision Association, the Ergonomics Society and with the participation of INRETS (Institut National de Recherche sur les Transports et leur Sécurité).This volume presents the selected and edited proceedings. The papers at the conference were ordered into sessions, from driver-specific aspects to interfacing with the new in-vehicle systems. These sessions are mirrored in the ordering of the chapters. The conference is long established and regularly draws representatives from the key international research centres working in this popular and diverse transportation area.

    • Handbook of Differential Geometry, Volume 1

      • 1st Edition
      • December 16, 1999
      • F.J.E. Dillen + 1 more
      • English
      • Paperback
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      • Hardback
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      • eBook
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      In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

    • Handbook of Macroeconomics

      • 1st Edition
      • Volume 1A
      • December 13, 1999
      • John B. Taylor + 1 more
      • English
      • Hardback
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      • Paperback
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      • eBook
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      This handbook aims to provide a survey of the stet of knowledge in the broad area that includes the theories and facts of economic growth and economic fluctuations, as well as the consequences of monetary conditions. Macroeconomics underwent a evolution in the 70s and 80s due to the introduction of the methods of rational expectations, dynamic optimization, and general equilibrium analysis into macroeconomic models, to the development of new theories of economic fluctuations, and to the introduction of sophisticated methods for the analysis of economic time series. These developments were both important and exciting. However, the rapid change in methods and theories led to considerable-disagre... especially in the 80s, as to whether there was any core of common beliefs, even about the defining problems of the subject, that united macroeconomists any longer. The 90s have also been exciting, but for a different reason. Modern methods of analysis have progressed to the point where they are now much better able to address practical or substantive macroeconomic questions - whether traditional, new, empirical, or policy related. Indeed, it is no longer necessary to choose between more powerful methods and practical policy concerns. The editors believe that both the progress and the focus on substantive problems has led to a situation in macroeconomics where the area of common ground is considerable, though they cannot yet announce a "new synthesis" that could be endorsed by most scholars working in the field. For this reason this handbook is organized around substantive macroeconomic problems, and not around alternative methodological approaches or schools of thought. The extent to which the field has changed over the past decade is considerable. This work is a response to the need for the survey of the current state of macroeconomics.

    • Handbook of Macroeconomics

      • 1st Edition
      • Volume 1B
      • December 13, 1999
      • John B. Taylor + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 1 5 7 8
      • eBook
        9 7 8 0 0 8 0 9 2 9 1 7 0
      This text aims to provide a survey of the state of knowledge in the broad area that includes the theories and facts of economic growth and economic fluctuations, as well as the consequences of of monetary and fiscal policies for general economic conditions.

    • Handbook of Macroeconomics

      • 1st Edition
      • Volume 1C
      • December 13, 1999
      • John B. Taylor + 1 more
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 2 2 3 9
      • Hardback
        9 7 8 0 4 4 4 5 0 1 5 8 5
      • eBook
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      This text aims to provide a survey of the state of knowledge in the broad area that includes the theories and facts of economic growth and economic fluctuations, as well as the consquences of monetary and fiscal policies for general economic conditions.

    • Modeling the Earth's Climate and its Variability

      • 1st Edition
      • Volume 67
      • December 13, 1999
      • W.R. Holland + 2 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 3 3 8 1
      Understanding and predicting the Earth's climate system, particularly climate variability and possible human-induced climate change, presents one of the most difficult and urgent challenges in science. Climate scientists worldwide have responded to that challenge over the past decade by creating a wide variety of ever more sophisticated climate models that are beginning to show considerable ability to replicate many aspects of the climate system. At the same time, to fully understand climate change, one also has to look to past climates. For this purpose five eminent scholars who span the disciplines of modeling and observation, including elements of past, present and future climate studies came together at this Les Houches school. They presented a systematic development of each of their respective subjects which provided a comprehensive overview of this vast and complex subject. These core lectures were supplemented by a set of shorter lectures and of seminars.

    • Handbook of Computational Geometry

      • 1st Edition
      • December 13, 1999
      • J.R. Sack + 1 more
      • English
      • Hardback
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      • eBook
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      Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

    • Time in Contemporary Intellectual Thought

      • 1st Edition
      • Volume 2
      • December 9, 1999
      • P.J.N. Baert
      • English
      • Hardback
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      • Paperback
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      • eBook
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      In this book, fifteen authors from a wide spectrum of disciplines (ranging from the natural sciences to the arts) offer assessments of the way time enters their work, the definition and uses of time that have proved most productive or problematic, and the lessons their subjects can offer for our understanding of time beyond the classroom and laboratory walls. The authors have tried, without sacrificing analytical rigour, to make their contribution accessible to a cross-disciplinary readership.Each chapter reviews time's past and present application in its respective field, considers the practical and logical problems that remain, and assesses the methods researchers are using to escape or resolve them. Particular attention is paid to ways in which the technical treatment of time, for problem-solving and model-building around specific phenomena, call on - or clash with - our intuitive perceptions of what time is and does. The spans of time considered range from the fractions of seconds it takes unstable particles to disintegrate to the millions of years required for one species to give way to another. Like all central conceptual words, time is understood on several levels. By inviting input from a broad range of disciplines, the book aims to provide a fuller understanding of those levels, and of the common ground that lurks at their base. Much agreement emerges - not only on the nature of the problems time presents to modern intellectual thought, but also on the clues that recent discoveries may offer towards possible solutions.

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