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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.

  • 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

  • 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.

  • 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.

  • Logic Colloquium '82

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

  • An Introduction to Stochastic Modeling

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

  • BASIC Matrix Methods

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

  • Discrete Computational Structures

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

  • 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

  • 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.

  • 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

  • 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.

  • 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.

  • Coupled Nonlinear Oscillators

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

  • FORTRAN 77

    • 2nd Edition
    • Samuel L. Marateck
    • English

  • Combinatorics '81

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

  • The Theory of Error-Correcting Codes

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

  • Recent Progress of Algebraic Geometry in Japan

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

  • 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.

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