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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

    • Hausdorff Gaps and Limits

      • 1st Edition
      • Volume 132
      • February 23, 1994
      • R. Frankiewicz + 1 more
      • English
      • Paperback
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      • eBook
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      Gaps and limits are two phenomena occuring in the Boolean algebra P(&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known, is used widely in the text. A short explanation of the forcing method is given in Chapter 11. Exercises, both easy and more difficult, are given throughout the book.

    • Selected Papers on Automath

      • 1st Edition
      • Volume 133
      • October 20, 1994
      • R.P. Nederpelt + 2 more
      • English
      • eBook
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      The present volume contains a considered choice of the existing literature on Automath. Many of the papers included in the book have been published in journals or conference proceedings, but a number have only circulated as research reports or have remained unpublished. The aim of the editors is to present a representative selection of existing articles and reports and of material contained in dissertations, giving a compact and more or less complete overview of the work that has been done in the Automath research field, from the beginning to the present day. Six different areas have been distinguished, which correspond to Parts A to F of the book. These areas range from general ideas and motivation, to detailed syntactical investigations.

    • Group Representations

      • 1st Edition
      • Volume 3
      • February 18, 1994
      • English
      • eBook
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      This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups.The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theory for group algebras. The volume ends with a detailed investigation of the Schur index for ordinary representations. A prominant role is played in the discussion by Brauer groups together with cyclotomic algebras and cyclic algebras.

    • Noncommutative Geometry

      • 1st Edition
      • November 22, 1994
      • Alain Connes
      • English
      • Hardback
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      • Paperback
        9 7 8 0 1 2 3 9 5 4 6 0 2
      • eBook
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      This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields.

    • Handbook of Game Theory with Economic Applications

      • 1st Edition
      • Volume 2
      • December 21, 1994
      • R.J. Aumann + 1 more
      • English
      • Hardback
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      • Paperback
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      • eBook
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      This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

    • Statistical Data Analysis for Ocean and Atmospheric Sciences

      • 1st Edition
      • November 7, 1994
      • H. Jean Thiebaux
      • English
      • Hardback
        9 7 8 0 1 2 6 8 6 9 2 5 5
      • eBook
        9 7 8 0 0 8 0 9 2 6 2 9 2
      Studies of local and global phenomena generate descriptions which require statistical analysis. In this text, H. Jean Thiebaux presents a succinct yet comprehensive review of the fundamentals of statistics as they pertain to studies in oceanic and atmospheric sciences. The text includes an accompanying disk with compatible Minitab sample data. Together, this volume and the included data provide insights into the basics of statistical inference, data analysis, and distributional models of variability. Oceanographers, meteorologists, marine biologists, and other environmental scientists will find this book of great value as a statistical tool for their continuing studies.

    • Computability, Complexity, and Languages

      • 2nd Edition
      • February 3, 1994
      • Martin Davis + 2 more
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability.

    • Solution of Continuous Nonlinear PDEs through Order Completion

      • 1st Edition
      • Volume 181
      • July 14, 1994
      • M.B. Oberguggenberger + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 9 2 6
      This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function.

    • Estimation Theory in Hydrology and Water Systems

      • 1st Edition
      • Volume 42
      • June 10, 1993
      • K. Nacházel
      • English
      • Paperback
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      • eBook
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      Methodological procedures of the theory of estimation of statistical parameters of time series and their application to hydrology and water engineering, particularly the sphere of reservoir-controlled runoffs, are dealt with in this volume. For estimates use is made of random sequences generated for various probability properties. This methodological approach enables examination of the properties of random and systematic errors of the parameters estimated even for the asymmetrical probability distributions, which are frequent in hydrology and water engineering. This book will be of interest to stochastic hydrologists.

    • Combinatorial Problems and Exercises

      • 2nd Edition
      • August 11, 1993
      • L. Lovász
      • English
      • Paperback
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      • Hardback
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      • eBook
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      The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book.Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.

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