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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.

  • BASIC Artificial Intelligence

    • 1st Edition
    • Mike James
    • English

  • Large Scale Eigenvalue Problems

    • 1st Edition
    • Volume 127
    • J. Cullum + 1 more
    • English
    Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories:novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-rele... theoretical analyses, and problems where large scale eigenelement computations have provided new insight.

  • Fermat Days 85: Mathematics for Optimization

    • 1st Edition
    • Volume 129
    • J.-B. Hiriart-Urruty
    • English
    Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.

  • Combinatorics '84

    • 1st Edition
    • M. Biliotti + 4 more
    • English
    Interest in combinatorial techniques has been greatly enhanced by the applications they may offer in connection with computer technology. The 38 papers in this volume survey the state of the art and report on recent results in Combinatorial Geometries and their applications.Contrib... V. Abatangelo, L. Beneteau, W. Benz, A. Beutelspacher, A. Bichara, M. Biliotti, P. Biondi, F. Bonetti, R. Capodaglio di Cocco, P.V. Ceccherini, L. Cerlienco, N. Civolani, M. de Soete, M. Deza, F. Eugeni, G. Faina, P. Filip, S. Fiorini, J.C. Fisher, M. Gionfriddo, W. Heise, A. Herzer, M. Hille, J.W.P. Hirschfield, T. Ihringer, G. Korchmaros, F. Kramer, H. Kramer, P. Lancellotti, B. Larato, D. Lenzi, A. Lizzio, G. Lo Faro, N.A. Malara, M.C. Marino, N. Melone, G. Menichetti, K. Metsch, S. Milici, G. Nicoletti, C. Pellegrino, G. Pica, F. Piras, T. Pisanski, G.-C. Rota, A. Sappa, D. Senato, G. Tallini, J.A. Thas, N. Venanzangeli, A.M. Venezia, A.C.S. Ventre, H. Wefelscheid, B.J. Wilson, N. Zagaglia Salvi, H. Zeitler.

  • Medical Terminology for the Health Professions

    • 1st Edition
    • Bryan C. Smith + 1 more
    • English

  • The Digital Research CP/M Plus Manual

    For Amstrad PCW8256 and Amstrad CPC6128
    • 1st Edition
    • Sam Stuart
    • English

  • Getting It Done with GEM

    • 1st Edition
    • Kathy Lang
    • English

  • Molecular Graphics on the Apple® Microcomputer

    • 1st Edition
    • Frank H. Clarke + 1 more
    • English

  • A Practical Introduction to the New Logic Symbols

    • 2nd Edition
    • Ian Kampel
    • English

  • Transform Analysis of Generalized Functions

    • 1st Edition
    • Volume 119
    • O.P. Misra + 1 more
    • English
    Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.

  • The Digital Research CP/M Plus Manual for Amstrad PCW8256 and Amstrad CPC6128

    • 1st Edition
    • Sam Stuart
    • English

  • Stability and Periodic Solutions of Ordinary and Functional Differential Equations

    • 1st Edition
    • Volume 178
    • T. A. Burton
    • 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.

  • Analysis on Real and Complex Manifolds

    • 2nd Edition
    • Volume 35
    • R. Narasimhan
    • English
    Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.

  • Modern General Topology

    • 3rd Edition
    • Volume 33
    • J.-I. Nagata
    • English
    This classic work has been fundamentally revised to take account of recent developments in general topology. The first three chapters remain unchanged except for numerous minor corrections and additional exercises, but chapters IV-VII and the new chapter VIII cover the rapid changes that have occurred since 1968 when the first edition appeared. The reader will find many new topics in chapters IV-VIII, e.g. theory of Wallmann-Shanin's compactification, realcompact space, various generalizations of paracompactness, generalized metric spaces, Dugundji type extension theory, linearly ordered topological space, theory of cardinal functions, dyadic space, etc., that were, in the author's opinion, mostly special or isolated topics some twenty years ago but now settle down into the mainstream of general topology.

  • Harvey Friedman's Research on the Foundations of Mathematics

    • 1st Edition
    • Volume 117
    • L.A. Harrington + 3 more
    • English
    This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.

  • Complex Analysis in Banach Spaces

    Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions
    • 1st Edition
    • Volume 120
    • J. Mujica
    • English
    Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite dimensional complex analysis. This book presents a unified view of these topics in both finite and infinite dimensions.

  • Positive Operators

    • 1st Edition
    • Volume 119
    • English

  • 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.

  • Theory of Codes

    • 1st Edition
    • Volume 117
    • English

  • Differential Manifolds and Theoretical Physics

    • 1st Edition
    • Volume 116
    • 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.

  • 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

  • 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.

  • 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

  • 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.

  • A Practical Introduction To The New Logic Symbols

    • 1st Edition
    • Ian Kampel
    • 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''.

  • Recent Progress in Fourier Analysis

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

  • 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 Interactive Graphics

    • 1st Edition
    • DuÅ¡ko Savić
    • English

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

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

  • Basic Metric Surveying

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

  • Basic Theory of Structures

    • 1st Edition
    • K R F Andrews
    • English

  • 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.

  • 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

  • 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.

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