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Elsevier

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.

  • An Introduction to Nonstandard Real Analysis

    • 1st Edition
    • Volume 118
    • Albert E. Hurd + 1 more
    • English
    The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.

  • Theory of Multiobjective Optimization

    • 1st Edition
    • Volume 176
    • Yoshikazu Sawaragi + 2 more
    • 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.

  • Cycles in Graphs

    • 1st Edition
    • Volume 27
    • B.R. Alspach + 1 more
    • English
    This volume deals with a variety of problems involving cycles in graphs and circuits in digraphs. Leading researchers in this area present here 3 survey papers and 42 papers containing new results. There is also a collection of unsolved problems.

  • Statistical Methods for Meta-Analysis

    • 1st Edition
    • Larry V. Hedges + 1 more
    • English
    The main purpose of this book is to address the statistical issues for integrating independent studies. There exist a number of papers and books that discuss the mechanics of collecting, coding, and preparing data for a meta-analysis , and we do not deal with these. Because this book concerns methodology, the content necessarily is statistical, and at times mathematical. In order to make the material accessible to a wider audience, we have not provided proofs in the text. Where proofs are given, they are placed as commentary at the end of a chapter. These can be omitted at the discretion of the reader.Throughout the book we describe computational procedures whenever required. Many computations can be completed on a hand calculator, whereas some require the use of a standard statistical package such as SAS, SPSS, or BMD. Readers with experience using a statistical package or who conduct analyses such as multiple regression or analysis of variance should be able to carry out the analyses described with the aid of a statistical package.

  • Theory of Codes

    • 1st Edition
    • Volume 117
    • English

  • The Theory of Matrices

    With Applications
    • 2nd Edition
    • Peter Lancaster + 1 more
    • English
    In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.

  • Differential Manifolds and Theoretical Physics

    • 1st Edition
    • Volume 116
    • English

  • Analysis and Design of Algorithms for Combinatorial Problems

    • 1st Edition
    • Volume 25
    • G. Ausiello + 1 more
    • English
    Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed.The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

  • Equivalents of the Axiom of Choice, II

    • 1st Edition
    • Volume 116
    • H. Rubin + 1 more
    • English
    This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

  • Cylindric Algebras

    • 1st Edition
    • Volume I
    • Bozzano G Luisa
    • English
    Volume I provides a detailed analysis of cylindric algebras, starting with a formulation of their axioms and a development of their elementary properties, and proceeding to a deeper study of their interrelationships by means of general algebraic notions such as subalgebras, homomorphisms, direct products, free algebras, reducts and relativized algebras.

  • Cylindric Algebras

    • 1st Edition
    • Volume 115
    • Bozzano G Luisa
    • English
    Volume II completes the description of the main aspects of the theory, covering representation questions, model theory and decision problems for them, translations from logic to algebra and vice-versa, and relationships with other algebraic versions of logic.

  • Differential Algebraic Groups

    • 1st Edition
    • Volume 114
    • English

  • Intensional Mathematics

    • 1st Edition
    • Volume 113
    • S. Shapiro
    • English
    ``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTIONAmong the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classic... context.

  • Algorithms in Combinatorial Design Theory

    • 1st Edition
    • Volume 26
    • C.J. Colbourn + 1 more
    • English
    The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

  • Basic Metric Surveying

    • 3rd Edition
    • W S Whyte + 1 more
    • English

  • Basic Interactive Graphics

    • 1st Edition
    • DuÅ¡ko Savić
    • English

  • Graphs, Groups and Surfaces

    • 2nd Edition
    • Volume 8
    • A.T. White
    • English
    The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbeddings, block designs associated with graph imbeddings, hypergraph imbeddings, map automorphism groups and change ringing.Thirty-two new problems have been added to this new edition, so that there are now 181 in all; 22 of these have been designated as ``difficult'' and 9 as ``unsolved''. Three of the four unsolved problems from the first edition have been solved in the ten years between editions; they are now marked as ``difficult''.

  • Trends in the Theory and Practice of Non-Linear Analysis

    Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984
    • 1st Edition
    • Volume 110
    • English

  • Basic Theory of Structures

    • 1st Edition
    • K R F Andrews
    • English

  • Recent Progress in Fourier Analysis

    • 1st Edition
    • Volume 111
    • I. Peral + 1 more
    • English

  • Singularities & Dynamical Systems

    • 1st Edition
    • Volume 103
    • S.N. Pnevmatikos
    • English
    This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.

  • A Practical Introduction To The New Logic Symbols

    • 1st Edition
    • Ian Kampel
    • English

  • Microcomputer Use: Word Processors, Spreadsheets, and Data Bases

    With Accompanying MicroUSE Software
    • 1st Edition
    • Teresa Alberte-Hallam + 2 more
    • English

  • Eigenvalues in Riemannian Geometry

    • 2nd Edition
    • Volume 115
    • Isaac Chavel
    • English
    The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

  • Topics on Perfect Graphs

    • 1st Edition
    • Volume 21
    • V. Chvátal + 1 more
    • English
    The purpose of this book is to present selected results on perfect graphs in a single volume. These take the form of reprinted classical papers, survey papers or new results.

  • Stochastic Analysis

    • 1st Edition
    • Volume 32
    • K. Itô
    • English
    Stochastic analysis, a branch of probability theory stemming from the theory of stochastic differential equations, is becoming increasingly important in connection with partial differential equations, non-linear functional analysis, control theory and statistical mechanics.

  • Mathematical Methods for Wave Phenomena

    • 1st Edition
    • Norman Bleistein
    • English
    Computer Science and Applied Mathematics: Mathematical Methods for Wave Phenomena focuses on the methods of applied mathematics, including equations, wave fronts, boundary value problems, and scattering problems. The publication initially ponders on first-order partial differential equations, Dirac delta function, Fourier transforms, asymptotics, and second-order partial differential equations. Discussions focus on prototype second-order equations, asymptotic expansions, asymptotic expansions of Fourier integrals with monotonic phase, method of stationary phase, propagation of wave fronts, and variable index of refraction. The text then examines wave equation in one space dimension, as well as initial boundary value problems, characteristics for the wave equation in one space dimension, and asymptotic solution of the Klein-Gordon equation. The manuscript offers information on wave equation in two and three dimensions and Helmholtz equation and other elliptic equations. Topics include energy integral, domain of dependence, and uniqueness, scattering problems, Green's functions, and problems in unbounded domains and the Sommerfeld radiation condition. The asymptotic techniques for direct scattering problems and the inverse methods for reflector imaging are also elaborated. The text is a dependable reference for computer science experts and mathematicians pursuing studies on the mathematical methods of wave phenomena.

  • Groups & Geometric Analysis

    Radon Transforms, Invariant Differential Operators and Spherical Functions: Volume 1
    • 1st Edition
    • Volume 113
    • English

  • Markov Chains

    • 1st Edition
    • Volume 11
    • D. Revuz
    • English
    This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail.The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compact abelian groups. Further chapters develop renewal theory, an introduction to Martin boundary and the study of chains recurrent in the Harris sense. Finally, the last chapter deals with the construction of chains starting from a kernel satisfying some kind of maximum principle.

  • The Smith Conjecture

    • 1st Edition
    • Volume 112
    • English

  • The Umbral Calculus

    • 1st Edition
    • Volume 111
    • English

  • Probability Theory with Applications

    • 1st Edition
    • M. M. Rao
    • English
    The material in this book is designed for a standard graduate course on probability theory, including some important applications. It was prepared from the sets of lecture notes for a course that I have taught several times over the past 20 years. The present version reflects the reactions of my audiences as well as some of the textbooks that I used.

  • Handbook of Mathematical Economics

    • 1st Edition
    • Volume 1
    • Kenneth J. Arrow + 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 1 deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

  • Convexity and Graph Theory

    • 1st Edition
    • Volume 20
    • M. Rosenfeld + 1 more
    • English
    Among the participants discussing recent trends in their respective fields and in areas of common interest in these proceedings are such world-famous geometers as H.S.M. Coxeter, L. Danzer, D.G. Larman and J.M. Wills, and equally famous graph-theorists B. Bollobás, P. Erdös and F. Harary. In addition to new results in both geometry and graph theory, this work includes articles involving both of these two fields, for instance ``Convexity, Graph Theory and Non-Negative Matrices'', ``Weakly Saturated Graphs are Rigid'', and many more. The volume covers a broad spectrum of topics in graph theory, geometry, convexity, and combinatorics. The book closes with a number of abstracts and a collection of open problems raised during the conference.

  • Orders: Description and Roles

    • 1st Edition
    • Volume 23
    • M. Pouzet + 1 more
    • English

  • Logic Colloquium '82

    • 1st Edition
    • Volume 112
    • G. Lolli + 2 more
    • English

  • BASIC Matrix Methods

    Including Applications in Approximation and Data Fitting
    • 1st Edition
    • J C Mason
    • English

  • Algebraic and Combinatorial Methods in Operations Research

    • 1st Edition
    • Volume 19
    • R.E. Burkard + 2 more
    • English
    For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability.Specif... the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.

  • Discrete Computational Structures

    • 1st Edition
    • Robert R. Korfhage
    • Werner Rheinboldt
    • English

  • An Introduction to Stochastic Modeling

    • 1st Edition
    • Howard M. Taylor + 1 more
    • English

  • Set Theory An Introduction To Independence Proofs

    • 1st Edition
    • Volume 102
    • K. Kunen
    • English
    Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

  • Unified Integration

    • 1st Edition
    • Volume 107
    • English

  • Introduction to Interval Computation

    • 1st Edition
    • Gotz Alefeld + 1 more
    • English
    This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.

  • Algebra

    • 1st Edition
    • Volume 110
    • English

  • Observers for Linear Systems

    • 1st Edition
    • John O'Reilly
    • English
    My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.

  • Fundamentals of the Theory of Operator Algebras. V1

    Elementary Theory
    • 1st Edition
    • Volume 100I
    • English

  • Semi-Riemannian Geometry With Applications to Relativity

    • 1st Edition
    • Volume 103
    • Barrett O'Neill
    • English
    This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

  • Renormalization

    • 1st Edition
    • Volume 106
    • English

  • Riesz Spaces II

    • 1st Edition
    • Volume 30
    • A.C. Zaanen
    • English
    While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.

  • Vector Bundles - Vol 1

    Foundations and Stiefel - Whitney Classes
    • 1st Edition
    • Volume 101I
    • English

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