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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.

  • A Theory of Sets

    • 2nd Edition
    • Volume 108
    • English
    This book provides graduate students and professional mathematicians with a formal unified treatment of logic and set theory. The formalization can be used without change to build just about any mathematical structure on some suitable foundation of definitions and axioms. In addition to most of the topics considered standard fare for set theory several special ones are treated. This book will be found useful as a text for a substantial one-semester course in set theory and that the student will find continuing use for the formal and highly flexible language

  • Complex Cobordism and Stable Homotopy Groups of Spheres

    • 1st Edition
    • Volume 121
    • English

  • Number Theory

    • 1st Edition
    • Volume 20
    • English
    This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.

  • Complex Analysis, Functional Analysis and Approximation Theory

    • 1st Edition
    • Volume 125
    • J. Mujica
    • English
    This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.

  • Logic, Methodology and Philosophy of Science VII

    • 1st Edition
    • Volume 114
    • R. Barcan Marcus + 2 more
    • English

  • An Introduction to Differentiable Manifolds and Riemannian Geometry

    • 2nd Edition
    • Volume 120
    • English

  • Stability of Functional Differential Equations

    • 1st Edition
    • English
    This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.

  • Cubic Forms

    Algebra, Geometry, Arithmetic
    • 2nd Edition
    • Volume 4
    • Yu.I. Manin
    • English
    Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references.The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic.

  • Handbook of Mathematical Economics

    • 1st Edition
    • Volume 3
    • 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 I 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. Volume II 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.

  • BASIC Artificial Intelligence

    • 1st Edition
    • Mike James
    • 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.

  • 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.

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

    • 1st Edition
    • Sam Stuart
    • English

  • 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

  • A Practical Introduction to the New Logic Symbols

    • 2nd Edition
    • Ian Kampel
    • English

  • Getting It Done with GEM

    • 1st Edition
    • Kathy Lang
    • English

  • Aspects of Mathematics and its Applications

    • 1st Edition
    • J.A. Barroso
    • English

  • 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.

  • Molecular Graphics on the Apple® Microcomputer

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

  • Mathematical Models and Finite Elements for Reservoir Simulation

    Single Phase, Multiphase and Multicomponent Flows through Porous Media
    • 1st Edition
    • Volume 17
    • G. Chavent + 1 more
    • English
    Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.

  • 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.

  • 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.

  • 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.

  • Fourier Series and Integrals

    • 1st Edition
    • English
    The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

  • 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.

  • 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 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.

  • 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.

  • Differential Algebraic Groups

    • 1st Edition
    • Volume 114
    • English

  • Basic Metric Surveying

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

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

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

  • Basic Interactive Graphics

    • 1st Edition
    • DuÅ¡ko Savić
    • English

  • Basic Theory of Structures

    • 1st Edition
    • K R F Andrews
    • English

  • A Practical Introduction To The New Logic Symbols

    • 1st Edition
    • Ian Kampel
    • English

  • 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.

  • 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''.

  • 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.

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