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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.

  • Stochastic Models: Estimation and Control: v. 2

    • 1st Edition
    • Volume 141B
    • Maybeck
    • English
  • Topics in Locally Convex Spaces

    • 1st Edition
    • Volume 67
    • M. Valdivia
    • English
  • Mathematical Methods of Game and Economic Theory

    • 2nd Edition
    • Volume 7
    • J.-P. Aubin
    • English
    This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.
  • Linear Orderings

    • 1st Edition
    • Volume 98
    • English
  • The Representation Theory of Finite Groups

    • 1st Edition
    • Volume 2
    • W. Feit
    • English
  • Handbook of Mathematical Logic

    • 1st Edition
    • Volume 90
    • J. Barwise
    • English
    The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
  • Handbook of Mathematical Economics

    • 1st Edition
    • Volume 2
    • M.D. Intriligator + 1 more
    • English
    The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....
  • The Theory of Eisenstein Systems

    • 1st Edition
    • Volume 99
    • English
  • Bonn Workshop on Combinatorial Optimization

    • 1st Edition
    • Volume 66
    • A. Bachem + 2 more
    • English
  • Biomathematics in 1980

    Papers presented at a workshop on biomathematics: current status and future perspective, Salerno, April 1980
    • 1st Edition
    • Volume 58
    • English
  • Graph Theory

    • 1st Edition
    • Volume 1
    • B. Bollobás
    • English
    The Cambridge Graph Theory Conference, held at Trinity College from 11 to 13 March 1981, brought together top ranking workers from diverse areas of the subject. The papers presented were by invitation only. This volume contains most of the contniutions, suitably refereed and revised. For many years now, graph theory has been developing at a great pace and in many directions. In order to emphasize the variety of questions and to preserve the freshness of research, the theme of the meeting was not restricted. Consequently, the papers in this volume deal with many aspects of graph theory, including colouring, connectivity, cycles, Ramsey theory, random graphs, flows, simplicial decompositions and directed graphs. A number of other papers are concerned with related areas, including hypergraphs, designs, algorithms, games and social models.This wealth of topics should enhance the attractiveness of the volume.
  • Digital Logic Design

    • 1st Edition
    • B. Holdsworth
    • English
  • Shape Theory

    The Inverse System Approach
    • 1st Edition
    • Volume 26
    • S. MardeÅ¡ic + 1 more
    • English
    North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape theory and shape invariants. Discussions focus on the stability and movability of spaces, homotopy and homology pro-groups, shape dimension, inverse limits and shape of compacta, topological shape, and absolute neighborhood retracts. The text then takes a look at a survey of selected topics, including basic topological constructions and shape, shape dimension of metric compacta, complement theorems of shape theory, shape fibrations, and cell-like maps. The text ponders on polyhedra and Borsuk's approach to shape. Topics include shape category of metric compacta and metric pairs, homotopy type of polyhedra, and topology of simplicial complexes. The publication is a valuable source of data for researchers interested in the inverse system approach.
  • Applied Finite Mathematics

    • 3rd Edition
    • Howard Anton + 1 more
    • English
  • The L.E.J. Brouwer Centenary Symposium

    • 1st Edition
    • Volume 110
    • A.S. Troelstra + 1 more
    • English
  • Selected Papers of Kentaro Yano

    • 1st Edition
    • Volume 70
    • M. Obata
    • English
  • Patras Logic Symposion

    • 1st Edition
    • G. Metakides
    • English
  • Nonlinear Problems: Present and Future

    • 1st Edition
    • Volume 61
    • A. Bishop + 2 more
    • English
  • Theory and Practice of Combinatorics

    • 1st Edition
    • Volume 12
    • J. Turgeon + 2 more
    • English
  • EDP System Development Guidelines

    • 1st Edition
    • B. C. Glasson
    • English
  • Algebraic and Geometric Combinatorics

    • 1st Edition
    • Volume 15
    • E. Mendelsohn
    • English
  • Calculus

    Multivariable Calculus, Linear Algebra, and Differential Equations
    • 1st Edition
    • Stanley I. Grossman
    • English
  • Test Bank for College Algebra and Trigonometry

    • 1st Edition
    • Michael L. Levitan
    • English
  • Stochastic Methods in Economics and Finance

    • 1st Edition
    • Volume 17
    • A.G. Malliaris + 1 more
    • English
    Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Itô's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications. The applications covered include: futures, pricing, job search, stochastic capital theory, stochastic economic growth, the rational expectations hypothesis, a stochastic macroeconomic model, competitive firm under price uncertainty, the Black-Scholes option pricing theory, optimum consumption and portfolio rules, demand for index bonds, term structure of interest rates, the market risk adjustment in project valuation, demand for cash balances and an asset pricing model.
  • Bounded Analytic Functions

    • 1st Edition
    • Volume 96
    • English
  • A Second Course in Stochastic Processes

    • 1st Edition
    • Samuel Karlin + 1 more
    • English
    This Second Course continues the development of the theory and applications of stochastic processes as promised in the preface of A First Course. We emphasize a careful treatment of basic structures in stochastic processes in symbiosis with the analysis of natural classes of stochastic processes arising from the biological, physical, and social sciences.
  • Quadratic Form Theory and Differential Equations

    • 1st Edition
    • Volume 152
    • English
    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.
  • Spectra of Graphs, 87

    Theory and Application
    • 1st Edition
    • Dragos M. Cvetkovic + 2 more
    • English
    The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. However, that does not mean that the theory of graph spectra can be reduced to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.
  • Spectral Theory of Differential Operators

    • 1st Edition
    • Volume 55
    • I.W. Knowles + 1 more
    • English
  • Stochastic Differential Equations and Diffusion Processes

    • 1st Edition
    • Volume 24
    • S. Watanabe + 1 more
    • English
  • General Topology and Modern Analysis

    • 1st Edition
    • L. F. McAuley + 1 more
    • English
  • Complex Analysis in Locally Convex Spaces

    • 1st Edition
    • Volume 57
    • S. Dineen
    • English
  • Studies on Graphs and Discrete Programming

    • 1st Edition
    • Volume 11
    • P. Hansen
    • English
  • Calculus

    The Calculus of One Variable
    • 1st Edition
    • Stanley I. Grossman
    • English
  • I: Functional Analysis

    • 1st Edition
    • Volume 1
    • Michael Reed + 1 more
    • English
    This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.
  • Fuzzy Sets and Systems

    Theory and Applications
    • 1st Edition
    • Didier J. Dubois
    • English
    Fuzzy Sets and Systems: Theory and Applications provides a comprehensive research monography that cover all of the important developments in the theory of fuzzy sets and their applications that have taken place during the past several years.
  • Introduction to Global Analysis

    • 1st Edition
    • Volume 91
    • English
  • Smooth Dynamical Systems

    • 1st Edition
    • Volume 94
    • English
  • Polynomial Identities in Ring Theory

    • 1st Edition
    • Volume 84
    • English
  • The Mathematical Theory of L Systems

    • 1st Edition
    • Volume 90
    • English
  • Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas

    Treated as a Branch of Rational Mechanics
    • 1st Edition
    • Volume 83
    • English
  • Holomorphic Maps and Invariant Distances

    • 1st Edition
    • Volume 40
    • English