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    • Recent Results in the Theory of Graph Spectra

      • 1st Edition
      • Volume 36
      • January 1, 1988
      • D.M. Cvetkovic + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 0 5 6
      • eBook
        9 7 8 0 0 8 0 8 6 7 7 6 2
      The purpose of this volume is to review the results in spectral graph theory which have appeared since 1978.The problem of characterizing graphs with least eigenvalue -2 was one of the original problems of spectral graph theory. The techniques used in the investigation of this problem have continued to be useful in other contexts including forbidden subgraph techniques as well as geometric methods involving root systems. In the meantime, the particular problem giving rise to these methods has been solved almost completely. This is indicated in Chapter 1.The study of various combinatorial objects (including distance regular and distance transitive graphs, association schemes, and block designs) have made use of eigenvalue techniques, usually as a method to show the nonexistence of objects with certain parameters. The basic method is to construct a graph which contains the structure of the combinatorial object and then to use the properties of the eigenvalues of the graph. Methods of this type are given in Chapter 2.Several topics have been included in Chapter 3, including the relationships between the spectrum and automorphism group of a graph, the graph isomorphism and the graph reconstruction problem, spectra of random graphs, and the Shannon capacity problem. Some graph polynomials related to the characteristic polynomial are described in Chapter 4. These include the matching, distance, and permanental polynomials. Applications of the theory of graph spectra to Chemistry and other branches of science are described from a mathematical viewpoint in Chapter 5. The last chapter is devoted to the extension of the theory of graph spectra to infinite graphs.

    • Synergetics and Dynamic Instabilities

      • 1st Edition
      • January 1, 1988
      • G. Caglioti + 2 more
      • English
      • eBook
        9 7 8 0 4 4 4 6 0 0 9 2 9
      This collection of papers presented at the Enrico Fermi School considers the subject of synergetics as a firmly established field of interdisciplinary research, ranging from physics, chemistry and biology, to subjects like economy and sociology. These proceedings focus on the natural sciences.

    • Handbook of Regional and Urban Economics

      • 1st Edition
      • Volume 2
      • December 1, 1987
      • E.S. Mills
      • English
      • Hardback
        9 7 8 0 4 4 4 8 7 9 7 0 7
      • eBook
        9 7 8 0 0 8 0 9 3 3 8 3 2
      This second volume of the Handbook presents professional surveys of all the important topics in urban economics. The first section contains 6 surveys on locational analysis, the second, 5 surveys of specific urban markets, and the third part presents 5 surveys of government policy issues.The book brings together exhaustive research by distinguished scholars from many countries. It is the only complete survey volume of urban economics and should serve as a reference volume to scholars and graduate students for many years.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

    • Operators and Representation Theory

      • 1st Edition
      • Volume 147
      • December 1, 1987
      • P.E.T. Jorgensen
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 0 0 1
      • eBook
        9 7 8 0 0 8 0 8 7 2 5 8 2
      Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas.This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*-algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra.Also examined are C*-algebraic methods used (in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the Yang-Mills problem.Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers.

    • Generalized Solutions of Nonlinear Partial Differential Equations

      • 1st Edition
      • Volume 146
      • November 1, 1987
      • E.E. Rosinger
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 5 7 5
      During the last few years, several fairly systematic nonlinear theories of generalized solutions of rather arbitrary nonlinear partial differential equations have emerged. The aim of this volume is to offer the reader a sufficiently detailed introduction to two of these recent nonlinear theories which have so far contributed most to the study of generalized solutions of nonlinear partial differential equations, bringing the reader to the level of ongoing research.The essence of the two nonlinear theories presented in this volume is the observation that much of the mathematics concerning existence, uniqueness regularity, etc., of generalized solutions for nonlinear partial differential equations can be reduced to elementary calculus in Euclidean spaces, combined with elementary algebra in quotient rings of families of smooth functions on Euclidean spaces, all of that joined by certain asymptotic interpretations. In this way, one avoids the complexities and difficulties of the customary functional analytic methods which would involve sophisticated topologies on various function spaces. The result is a rather elementary yet powerful and far-reaching method which can, among others, give generalized solutions to linear and nonlinear partial differential equations previously unsolved or even unsolvable within distributions or hyperfunctions.Part 1 of the volume discusses the basic limitations of the linear theory of distributions when dealing with linear or nonlinear partial differential equations, particularly the impossibility and degeneracy results. Part 2 examines the way Colombeau constructs a nonlinear theory of generalized functions and then succeeds in proving quite impressive existence, uniqueness, regularity, etc., results concerning generalized solutions of large classes of linear and nonlinear partial differential equations. Finally, Part 3 is a short presentation of the nonlinear theory of Rosinger, showing its connections with Colombeau's theory, which it contains as a particular case.

    • Logic Colloquium '86

      • 1st Edition
      • Volume 124
      • November 1, 1987
      • F.R. Drake + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 0 1 8
      • eBook
        9 7 8 0 4 4 4 5 3 5 8 3 2
      The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. Important new developments in the applications of logic in computer science are presented. Other areas examined include model theory, set theory, recursion theory, proof theory, and the history of logic.This volume contains the texts of ten of the invited lectures and six of the contributed papers.

    • Human Factors Psychology

      • 1st Edition
      • Volume 47
      • October 1, 1987
      • P.A. Hancock
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 0 1 4
      This book is a collection of contemporary applications of psychological insights into practical human factors issues. The topics are arranged largely according to an information processing/energetic approach to human behavior. Consideration is also given to human-computer interaction and organizational design.

    • Fluid Film Lubrication - Osborne Reynolds Centenary

      • 1st Edition
      • October 1, 1987
      • D. Berthe + 3 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 7 5 0
      The thirteenth Leeds-Lyon Tribology Symposium was devoted to the topic of Fluid Film Lubrication in celebration of the centenary of the publication of the classical paper by Professor Osborne Reynolds in which he identified the mechanism of hydrodynamic lubrication.These proceedings contain more than seventy papers, written by authors from all over the world, covering the entire spectrum of fluid film lubrication. Of particular interest is the detailed consideration of a wide range of machine elements - bearings, seals, cams, rolling elements, as well as the in-depth, state-of-the-art, analytical contributions.

    • Tutorials in Motor Behavior I

      • 1st Edition
      • Volume 1
      • October 1, 1987
      • George Stelmach + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 2 3 0
      • eBook
        9 7 8 0 0 8 0 8 6 6 5 5 0
      The contributors to this book are all distinguished, internationally-know... specialists working in the motor control and learning area. The result is a unique collection of papers that discuss many aspects of this intricate and diverse subject and at the same time manage to provide the reader with a good overview of the major topics.

    • Numerical Modelling: Applications to Marine Systems

      • 1st Edition
      • Volume 145
      • September 1, 1987
      • J. Noye
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 5 6 8
      The thirteen papers presented in this book are based on talks given at the workshop on Numerical Modelling of Marine Systems held at the University of Adelaide, South Australia in February 1986. Several of the articles are a direct outcome of two special sessions held on modelling of Open Boundary Conditions and on the Transport of Pollutants.Other articles in the book cover topics such as numerical modelling of wind-driven flow in shallow seas, sediment transport in estuaries, internal tides and comparison of numerical methods for solving tidal and pollutant transport problems.

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