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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.

  • Fast Transforms Algorithms, Analyses, Applications

    • 1st Edition
    • Douglas F. Elliott + 1 more
    • English
    This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

  • The Theory of Error-Correcting Codes

    • 1st Edition
    • Volume 16
    • F.J. MacWilliams + 1 more
    • English

  • History of Functional Analysis

    • 1st Edition
    • Volume 49
    • J. Dieudonne
    • English
    History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.

  • Recent Progress of Algebraic Geometry in Japan

    • 1st Edition
    • Volume 73
    • M. Nagata
    • English

  • Combinatorics '81

    In Honour of Beniamino Segre
    • 1st Edition
    • Volume 18
    • P.V. Ceccherini + 2 more
    • English

  • Combinatorial Mathematics

    • 1st Edition
    • Volume 17
    • D. Bresson + 4 more
    • English
    The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory.In publishing this volume, the editors do not intend to discuss all the classical open problems in combinatorics for which an algebraic approach turns out to be useful. The work is a selection which is intended for specialists, as well as for graduate students who may also be interested in survey papers. The work features a special section which contains a list of unsolved problems proposed by the participants.

  • Coupled Nonlinear Oscillators

    • 1st Edition
    • Volume .
    • J. Chandra + 1 more
    • English

  • FORTRAN 77

    • 2nd Edition
    • Samuel L. Marateck
    • English

  • Mathematical Experiments on the Computer

    • 1st Edition
    • Volume 105
    • English

  • Spectral Analysis and Time Series, Two-Volume Set

    Volumes I and II
    • 1st Edition
    • Volume 1-2
    • M. B. Priestley
    • English
    A principal feature of this book is the substantial care and attention devoted to explaining the basic ideas of the subject. Whenever a new theoretical concept is introduced it is carefully explained by reference to practical examples drawn mainly from the physical sciences. Subjects covered include: spectral analysis which is closely intertwined with the "time domain" approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data. The inclusion of material on "kalman filtering", state-space filtering", "non-linear models" and continuous time" models completes the impressive list of unique and detailed features which will give this book a prominent position among related literature. The first section—Volume 1—deals with single (univariate) series, while the second—Volume 2—treats the analysis of several (multivariate) series and the problems of prediction, forecasting and control.

  • Rings That are Nearly Associative

    • 1st Edition
    • Volume 104
    • English

  • System Theory

    A Hilbert space approach
    • 1st Edition
    • Volume 102
    • English

  • Stochastic Models, Estimation, and Control

    • 1st Edition
    • Volume 3
    • Peter S. Maybeck
    • English
    This volume builds upon the foundations set in Volumes 1 and 2. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws.

  • The Bochner Integral

    • 1st Edition
    • Volume 77
    • English

  • Quantum Mechanics in Hilbert Space

    • 1st Edition
    • Volume 92
    • English

  • 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

  • Combinatorial and Geometric Structures and Their Applications

    • 1st Edition
    • Volume 14
    • A. Barlotti
    • English

  • Selected Papers of Kentaro Yano

    • 1st Edition
    • Volume 70
    • M. Obata
    • English

  • Patras Logic Symposion

    • 1st Edition
    • G. Metakides
    • English

  • The L.E.J. Brouwer Centenary Symposium

    • 1st Edition
    • Volume 110
    • A.S. Troelstra + 1 more
    • English

  • Algebraic and Geometric Combinatorics

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

  • EDP System Development Guidelines

    • 1st Edition
    • B. C. Glasson
    • 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

  • Test Bank for College Algebra and Trigonometry

    • 1st Edition
    • Michael L. Levitan
    • English

  • Digital Logic Design

    • 1st Edition
    • B. Holdsworth
    • 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.

  • Theory and Practice of Combinatorics

    • 1st Edition
    • Volume 12
    • J. Turgeon + 2 more
    • 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

  • Nonlinear Problems: Present and Future

    • 1st Edition
    • Volume 61
    • A. Bishop + 2 more
    • English

  • Calculus

    Multivariable Calculus, Linear Algebra, and Differential Equations
    • 1st Edition
    • Stanley I. Grossman
    • English

  • Proceedings of the International Mathematical Conference, Singapore 1981

    • 1st Edition
    • Volume 74
    • L.H.Y. Chen + 2 more
    • 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

  • 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.

  • An Introduction to Nonharmonic Fourier Series

    • 1st Edition
    • Volume 93
    • English

  • Stochastic Differential Equations and Diffusion Processes

    • 1st Edition
    • Volume 24
    • S. Watanabe + 1 more
    • English

  • Studies on Graphs and Discrete Programming

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

  • General Topology and Modern Analysis

    • 1st Edition
    • L. F. McAuley + 1 more
    • English

  • Real Variable Methods in Fourier Analysis

    • 1st Edition
    • Volume 46
    • English

  • Spectral Theory of Differential Operators

    • 1st Edition
    • Volume 55
    • I.W. Knowles + 1 more
    • English

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