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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.

  • Modern Data Analysis

    • 1st Edition
    • Robert L. Launer + 1 more
    • English
    Modern Data Analysis contains the proceedings of a Workshop on Modern Data Analysis held in Raleigh, North Carolina, on June 2-4, 1980 under the auspices of the United States Army Research Office. The papers review theories and methods of data analysis and cover topics ranging from single and multiple quantile-quantile (Q-Q) plotting procedures to biplot display and pencil-and-paper exploratory data analysis methods. Projection pursuit methods for data analysis are also discussed. Comprised of nine chapters, this book begins with an introduction to styles of data analysis techniques, followed by an analysis of single and multiple Q-Q plotting procedures. Problems involving extreme-value data and the behavior of sample averages are considered. Subsequent chapters deal with the use of smelting in guiding re-expression; geometric data analysis; and influence functions and regression diagnostics. The final chapter examines the use and interpretation of robust analysis of variance for the general non-full-rank linear model. The procedures are described in terms of their mathematical structure, which leads to efficient computational algorithms. This monograph should be of interest to mathematicians and statisticians.

  • Numerical Methods of Mathematical Optimization

    With ALGOL and FORTRAN Programs
    • 1st Edition
    • Hans P. Künzi + 2 more
    • Werner Rheinboldt
    • English
    Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs reviews the theory and the practical application of the numerical methods of mathematical optimization. An ALGOL and a FORTRAN program was developed for each one of the algorithms described in the theoretical section. This should result in easy access to the application of the different optimization methods. Comprised of four chapters, this volume begins with a discussion on the theory of linear and nonlinear optimization, with the main stress on an easily understood, mathematically precise presentation. In addition to the theoretical considerations, several algorithms of importance to the numerical application of optimization theory are described. The next chapter explains the computer programs used in actual optimization, which have the form of procedures or subroutines. The book concludes with an analysis of ALGOL and FORTRAN, paying particular attention to their use in global optimization procedures as well as for the simplex and duoplex methods and the decomposition, Gomory, Beale, and Wolfe algorithms. This monograph will be helpful to students and practitioners of computer science and applied mathematics.

  • The Political Economy of U.S. Tariffs

    An Empirical Analysis
    • 1st Edition
    • Réal P. Lavergne
    • Karl Shell
    • English
    The Political Economy of U.S. Tariffs: An Empirical Analysis provides information pertinent to the political economy of trade barriers. This book discusses the cross-sectional regression analysis across industries to understand why some industries have been more privileged than others. Organized into seven chapters, this book begins with an overview of the structure of protection and identifies the primary actors or principles that condition the formation of trade policy more generally. This text then evaluates the institutional and theoretical reasons why political leverage should not be expected to play a significant role in explaining tariffs. Other chapters consider the notion that the structure of protection at any point in time represents some sort of equilibrium. This book discusses as well the distinction between nominal and effective tariffs. The final chapter deals with individual regressors and groups of regressors. This book is a valuable resource for economists and specialists in quantitative analysis.

  • Advanced Calculus with Linear Analysis

    • 1st Edition
    • Joseph R. Lee
    • English
    Advanced Calculus with Linear Analysis provides information pertinent to the fundamental aspects of advanced calculus from the point of view of linear spaces. This book covers a variety of topics, including function spaces, infinite series, real number system, sequence spaces, power series, partial differentiation, uniform continuity, and the class of measurable sets. Organized into nine chapters, this book begins with an overview of the concept of a single-valued function, consisting of a rule, a domain, and a range. This text then describes an infinite sequence as an ordered set of elements that can be put into a one-to-one correspondence with the positive integers. Other chapters consider a normed linear space, which is complete if and only if every Cauchy sequence converges to an element in the space. This book discusses as well the convergence of an infinite series, which is determined by the convergence of the infinite sequence of partial sums. This book is a valuable resource for students.

  • Nonlinear Partial Differential Equations

    A Symposium on Methods of Solution
    • 1st Edition
    • W. F. Ames
    • English
    Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.

  • Digital Computer Design

    Logic, Circuitry, and Synthesis
    • 1st Edition
    • Edward L. Braun
    • English
    Digital Computer Design: Logic, Circuitry, and Synthesis focuses on the logical structure, electronic realization, and application of digital information processors. The manuscript first offers information on numerical symbols, fundamentals of computing aids, quantization, representation of numbers in an electronic digital computer, and computer applications. The text then ponders on the nature of automatic computation and Boolean algebra. Discussions focus on the advantages of a Boolean algebraic description of a digital computer; clock pulse generators and timing circuits; sequential switching networks; elements of information processing systems and types of digital computers; and automatic sequencing methods. The book elaborates on circuit descriptions of switching and storage elements and large capacity storage systems. Topics include static magnetic storage, dynamic delay line storage, cathode-ray storage, vacuum tube systems of circuit logic, and magnetic core systems of circuit logic. The publication also examines the system design of GP computers, digital differential analyzer, and the detection and correction of errors. The text is a valuable source of data for mathematicians and engineers interested in digital computer design.

  • Pathology, Vector Studies, and Culture

    • 1st Edition
    • Julius P. Kreier
    • English
    Malaria: Volume 2, Pathology, Vector Studies, and Culture is a collection of papers that deals with erythrocyte destruction mechanism in malaria, the pathology of malaria, colonization of laboratory mosquitoes, and their transmission of plasmodia. Other papers describe the culture of the invertebrate stages of plasmodia, of mosquito tissues, and also of erythrocytic and exoerythrocytic stages of plasmodia. One paper constructs a model to show the roles of the different destructive and regenerative processes in the mechanisms of erythrocyte destruction in malaria. Another paper describes the organ changes and physiopathological mechanism connected with Plasmodium infection. These organs concern the spleen, liver, heart, and vascular system. One paper reviews the procedures involved in malaria transmission by mosquitoes, as well as some specialized procedures unique in avian, rodent, simian, and human malarias. Another paper discusses the benefits and drawbacks of a culture medium based on the composition of adult anopheline hemolymph. This medium should lead to a rapid growth rate in primary cultures of mosquito cells and a shorter interval of adaptation for continuous cell lines. The collection can prove useful for pharmacologists, general medical practitioners, investigators, and laboratory technicians involved in mosquito borne diseases or tropical medicine research.

  • Multivariate Analysis—III

    Proceedings of the Third International Symposium on Multivariate Analysis Held at Wright State University, Dayton, Ohio, June 19-24, 1972
    • 1st Edition
    • Paruchuri R. Krishnaiah
    • English
    Multivariate Analysis — III contains the proceedings of the Third International Symposium on Multivariate Analysis held at Wright State University in Dayton, Ohio, on June 19-24, 1972. The papers explore the theory and applications of multivariate analysis and cover areas such as time series and stochastic processes; distribution theory and inference; characteristic functions and characterizations; and design and analysis of experiments. Classification, modeling, and reliability are also discussed. Comprised of 27 chapters, this volume begins with an introduction to two-dimensional random fields, giving results for a class of Gaussian processes with a multidimensional time parameter. The next chapter deals with concepts of consistency in spectral estimation for multivariate time series and considers the alternative of estimating the spectral distribution function or the spectral density function. Abstract martingales and ergodic theory are also examined, along with methods for assessing multivariate normality; inference and redundant parameters; characterization of the multivariate geometric distribution; and max-min designs in the analysis of variance. This monograph will be useful to statisticians and probabilists, as well as to scientists in other disciplines who are broadly interested in multivariate analysis.

  • Symposia Mathematica

    • 1st Edition
    • Sam Stuart
    • English
    Symposia Mathematica, Volume I focuses on research in the field of mathematics and its applications. This book discusses the definition of S-semigroup, extensions of R modules, structure of H, laws of conservation and equations of motion, and measures of strain. The basic equations for continua with internal rotations, general concepts of the discrete particle mechanics of matter, and implications of the first law of thermodynamics are also elaborated. This text likewise covers the homomorphism theorem, magneto-elastic interactions, transition from discrete particle mechanics to continuum mechanics, and passage to the continuum. This publication is suitable for mathematicians, specialists, and students interested in mathematical structures.

  • Numerical Methods for Differential Systems

    Recent Developments in Algorithms, Software, and Applications
    • 1st Edition
    • L. Lapidus + 1 more
    • English
    Numerical Methods for Differential Systems: Recent Developments in Algorithms, Software, and Applications reviews developments in algorithms, software, and applications of numerical methods for differential systems. Topics covered include numerical algorithms for ordinary and partial differential equations (ODE/PDEs); theoretical approaches to the solution of nonlinear algebraic and boundary value problems via associated differential systems; integration algorithms for initial-value ODEs with particular emphasis on stiff systems; finite difference algorithms; and general- and special-purpose computer codes for ODE/PDEs. Comprised of 15 chapters, this book begins with an introduction to high-order A-stable averaging algorithms for stiff differential systems, followed by a discussion on second derivative multistep formulas based on g-splines; numerical integration of linearized stiff ODEs; and numerical solution of large systems of stiff ODEs in a modular simulation framework. Subsequent chapters focus on numerical methods for mass action kinetics; a systematized collection of codes for solving two-point boundary value problems; general software for PDEs; and the choice of algorithms in automated method of lines solution of PDEs. The final chapter is devoted to quality software for ODEs. This monograph should be of interest to mathematicians, chemists, and chemical engineers.

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