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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Differential Manifolds

      • 1st Edition
      • Volume 138
      • December 3, 1992
      • Antoni A. Kosinski
      • English
      • Paperback
        9 7 8 0 1 2 4 1 5 7 4 9 1
      • eBook
        9 7 8 0 0 8 0 8 7 4 5 8 6
      Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study.

    • Morphogenesis

      • 1st Edition
      • Volume 3
      • November 26, 1992
      • P.T. Saunders
      • English
      • Hardback
        9 7 8 0 4 4 4 8 8 4 8 6 2
      • eBook
        9 7 8 0 0 8 0 9 3 4 0 5 1
      The collected works of Turing, including a substantial amount of unpublished material, will comprise four volumes: Mechanical Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions in several areas of science. Today his name is mentioned frequently in philosophical discussions about the nature of Artificial Intelligence. Actually, he was a pioneer researcher in computer architecture and software engineering; his work in pure mathematics and mathematical logic extended considerably further and his last work, on morphogenesis in plants, is also acknowledged as being of the greatest originality and of permanent importance. He was one of the leading figures in Twentieth-century science, a fact which would have been known to the general public sooner but for the British Official Secrets Act, which prevented discussion of his wartime work. What is maybe surprising about these papers is that although they were written decades ago, they address major issues which concern researchers today.

    • Combinatorics '90

      • 1st Edition
      • Volume 52
      • August 17, 1992
      • A. Barlotti + 3 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 9 2 2
      This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.

    • Fourth Czechoslovakian Symposium on Combinatorics, Graphs and Complexity

      • 1st Edition
      • Volume 51
      • June 26, 1992
      • J. NeÅ¡etril + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 9 1 5
      This volume in the Annals of Discrete Mathematics brings together contributions by renowned researchers in combinatorics, graphs and complexity. The conference on which this book is based was the fourth in a series which began in 1963, which was the first time specialists from East and West were able to come together. The 1990 meeting attracted 170 mathematicians and computer scientists from around the world, so this book represents an international, detailed view of recent research.

    • Continuous Linear Representations

      • 1st Edition
      • Volume 168
      • January 30, 1992
      • Z. Magyar
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 7 9 7
      This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the Galilean and Poincaré groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature.Each chapter includes exercises.

    • Differential Topology

      • 1st Edition
      • Volume 173
      • June 2, 1992
      • J. Margalef-Roig + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 8 4 1
      ...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a reliable monograph of a well-defined subject; the possibility to fall back to it adds to the feeling of security when climbing in the more dangerous realms of infinite dimensional differential geometry.Peter W. Michor

    • Progress in Functional Analysis

      • 1st Edition
      • Volume 170
      • January 10, 1992
      • K.D. Bierstedt + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 5 1 0
      • eBook
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      This volume includes a collection of research articles inFunctional Analysis, celebrating the occasion of Manuel Valdivia'ssixtieth birthday. The papers included in the volume are basedon the main lectures presented during the internationalfunctio... analysis meeting held in Peñíscola(Valencia, Spain) in October 1990.During his career, Valdiviahas made contributions to a wide variety of areas of FunctionalAnalysis and his work has had a profound impact. A thoroughappreciation of Valdivia's work is presented in J.Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research(Banach spaces, operator ideals, tensor products, Fréchet,(DF) and (LF) spaces, distribution theory, infinite holomorphyetc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.

    • Regenerative Stochastic Simulation

      • 1st Edition
      • October 1, 1992
      • Gerald S. Shedler
      • English
      • Hardback
        9 7 8 0 1 2 6 3 9 3 6 0 6
      • eBook
        9 7 8 0 0 8 0 9 2 5 7 2 1
      Simulation is a controlled statistical sampling technique that can be used to study complex stochastic systems when analytic and/or numerical techniques do not suffice. The focus of this book is on simulations of discrete-event stochastic systems; namely, simulations in which stochastic state transitions occur only at an increasing sequence of random times. The discussion emphasizes simulations on a finite or countably infinite state space.

    • The Steiner Tree Problem

      • 1st Edition
      • Volume 53
      • October 20, 1992
      • F.K. Hwang + 2 more
      • English
      • Paperback
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      • eBook
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      The Steiner problem asks for a shortest network which spans a given set of points. Minimum spanning networks have been well-studied when all connections are required to be between the given points. The novelty of the Steiner tree problem is that new auxiliary points can be introduced between the original points so that a spanning network of all the points will be shorter than otherwise possible. These new points are called Steiner points - locating them has proved problematic and research has diverged along many different avenues.This volume is devoted to the assimilation of the rich field of intriguing analyses and the consolidation of the fragments. A section has been given to each of the three major areas of interest which have emerged. The first concerns the Euclidean Steiner Problem, historically the original Steiner tree problem proposed by Jarník and Kössler in 1934. The second deals with the Steiner Problem in Networks, which was propounded independently by Hakimi and Levin and has enjoyed the most prolific research amongst the three areas. The Rectilinear Steiner Problem, introduced by Hanan in 1965, is discussed in the third part. Additionally, a forth section has been included, with chapters discussing areas where the body of results is still emerging.The collaboration of three authors with different styles and outlooks affords individual insights within a cohesive whole.

    • Handbook of Game Theory with Economic Applications

      • 1st Edition
      • Volume 1
      • November 19, 1992
      • R.J. Aumann + 1 more
      • English
      • Hardback
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      • eBook
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      This is the first volume of the Handbook of Game Theory with Economic Applications, to be followed by two additional volumes. Game Theory has developed greatly in the last decade, and today it is an essential tool in much of economic theory. The three volumes will cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science, and individual chapters on relations with other disciplines.The topics covered in the present volume include chess-playing computers, an introduction to the non-cooperative theory, repeated games, bargaining theory, auctions, location, entry deterrence, patents, the cooperative theory and its applications, and the relation between Game Theory and ethics.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

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