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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.

  • 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.

  • A Syntax-Oriented Translator

    • 1st Edition
    • Peter Zilahy Ingerman
    • English
    A Syntax-Oriented Translator focuses on the field of programming and the characteristics and functions of compilers and translators. The book first offers information on the metasyntactic language and the details of a parsing processor. Discussions focus on processing, recovery, and output sections, detailed flow-chart of the parsing processor, parsing form of a grammar, canonical ordering, and the metasyntactic language in general. The text then elaborates on some extensions to the metasyntactic language and metasemantic and metapragmatic language, including punctuation marks and format control, metasemantic and metapragmatic functions, basic form of the construct, and substitution MSF. The publication examines the details of an unparsing processor, as well as lists used in unparsing, subroutines, and the unparsing processor itself. The book is a dependable source of information for home compiler-writers who are interested in the use of a syntax-oriented translator.

  • Tables of Weber Functions

    Mathematical Tables, Vol. 1
    • 1st Edition
    • I. Ye. Kireyeva + 1 more
    • English
    Tables of Weber Functions contains values for Weber functions or functions of a parabolic cylinder. Investigators at the Computing Centre of the Academy of Sciences, U.S.S.R. confirm these tables which have been calculated by a computer. The wave equation, expressed in parabolic coordinates, occurs in quantum mechanics, radio physics, aerodynamics, hydrodynamics and other fields. Each section of the tables contains values of the real and imaginary parts of the function Dp[x(i + i)]for 51-55 successive values of x, as determined by the interpolation with respect to x, and four values of p. On the left side are given the values of up(x) and vp(x) for positive values of x, and on the right for negative x with the same absolute values. The book contains twenty groups of sections corresponding to values of

  • Non-Linear Transformations of Stochastic Processes

    • 1st Edition
    • P. I. Kuznetsov + 2 more
    • English
    Non-Linear Transformations of Stochastic Processes focuses on the approaches, methodologies, transformations, and computations involved in the non-linear transformations of stochastic processes. The selection first underscores some problems of the theory of stochastic processes and the transmission of random functions through non-linear systems. Discussions focus on the transformation of moment functions for the general non-linear transformation; conversion formulas for correlation functions; transformation of moment functions for the simplest type of non-linear transformation; and normalization of the linear system of probability distribution laws. The text then ponders on quasi-moment functions in the theory of random processes and correlation functions in the theory of the Brownian motion generalization of the Fokker-Planck equation. The manuscript elaborates on the correlation functions of random sequences of rectangular pulses; method of determining the envelope of quasi-harmonic fluctuations; and the problem of measuring electrical fluctuations with the aid of thermoelectric devices. The book then examines the effect of signal and noise on non-linear elements and the approximate method of calculating the correlation function of stochastic signals. The selection is a dependable source of information for researchers interested in the non-linear transformations of stochastic processes.

  • Axiomatic Projective Geometry

    • 2nd Edition
    • A. Heyting
    • N. G. De Bruijn + 2 more
    • English
    Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume V: Axiomatic Projective Geometry, Second Edition focuses on the principles, operations, and theorems in axiomatic projective geometry, including set theory, incidence propositions, collineations, axioms, and coordinates. The publication first elaborates on the axiomatic method, notions from set theory and algebra, analytic projective geometry, and incidence propositions and coordinates in the plane. Discussions focus on ternary fields attached to a given projective plane, homogeneous coordinates, ternary field and axiom system, projectivities between lines, Desargues' proposition, and collineations. The book takes a look at incidence propositions and coordinates in space. Topics include coordinates of a point, equation of a plane, geometry over a given division ring, trivial axioms and propositions, sixteen points proposition, and homogeneous coordinates. The text examines the fundamental proposition of projective geometry and order, including cyclic order of the projective line, order and coordinates, geometry over an ordered ternary field, cyclically ordered sets, and fundamental proposition. The manuscript is a valuable source of data for mathematicians and researchers interested in axiomatic projective geometry.

  • The Office of the Future

    Communication and Computers
    • 1st Edition
    • Ronald P. Uhlig + 2 more
    • English
    Monograph Series of the International Council for Computer Communications, Volume 1: The Office of the Future: Communication and Computers focuses on the advancements in the processes, technologies, techniques, principles, and approaches involved in communication and computers, including computer based tools, data gathering and information retrieval, and office automation. The publication first elaborates on the automated office of the future, tools to support the communication activity, and text editing tools for generating, organizing, analyzing, and transforming information. Discussions focus on generating, organizing, and analyzing information, basic message system concepts, impact of computer networks, and other processes in the office. The text then examines the integration of computer based tools, data gathering and information retrieval tools, coordination tools in the office of the future, and tools to support office processes. The manuscript ponders on the integration of the spoken word with interactive computer based office support systems, underlying technology, digital channel, and software aspects of the office environment utilizing the micro-processor. Topics include single board computer, advances in digital computer communications technology, future directions for digital networks, bandwidth availability, and storage and retrieval of voice information. The book is a dependable source of data for computer science experts and researchers interested in the relationship of communication and computers.

  • Failure-Tolerant Computer Design

    • 1st Edition
    • William H. Pierce
    • English
    Failure-Tolerant Computer Design focuses on the use of redundancy theory in improving the reliability of computers. The book first offers information on redundancy theory and limit theorems. Discussions focus on applications in determining the optimum placement of restoring organs; time asymptotes for log failure probability for exponential survival probability; reliability of multiple-function system with paralleled individual units; and basic concepts for making reliable computers out of unreliable parts. The text then examines decision theory in redundant systems and adaptive decision elements. The publication examines the interconnection structure for redundant logic and redundant relay theory. Topics include Moore-Shannon limit theorem; systematic groupings of inputs in single-layer error-correcting interwoven redundant logic; interwoven logic with alternating-layer error correction; and interwoven logic with single-layer error correction. The book also elaborates on transition analyses in reliability theory, including Markov chain theory and probability bounds in Markov chains having many states or inexactly known transition matrices. The manuscript is a vital source of data for engineers and researchers interested in failure-tolerant computer design.

  • Computer Organization and Design

    The Hardware / Software Interface
    • 1st Edition
    • John L. Hennessy + 1 more
    • English
    Computer Organization and Design: The Hardware/Software Interface presents the interaction between hardware and software at a variety of levels, which offers a framework for understanding the fundamentals of computing. This book focuses on the concepts that are the basis for computers. Organized into nine chapters, this book begins with an overview of the computer revolution. This text then explains the concepts and algorithms used in modern computer arithmetic. Other chapters consider the abstractions and concepts in memory hierarchies by starting with the simplest possible cache. This book discusses as well the complete data path and control for a processor. The final chapter deals with the exploitation of parallel machines. This book is a valuable resource for students in computer science and engineering. Readers with backgrounds in assembly language and logic design who want to learn how to design a computer or understand how a system works will also find this book useful.

  • Applications of Finite Groups

    • 1st Edition
    • J. S. Lomont
    • English
    Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.

  • Intermediate Algebra & Analytic Geometry

    • 1st Edition
    • William R. Gondin + 1 more
    • English
    Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, systems involving quadratics, and determinants. Topics include determinants of higher order, application of Cramer's rule, second-order determinants, systems linear in quadratic terms, systems treatable by substitution, systems with a linear equation, and other systems treated by comparison. The manuscript ponders on trigonometric functions and equations, straight lines, and points, distances, and slopes, including intersection points of lines, perpendicular distances, angles between lines, positions of points, inverse trigonometric functions, and trigonometric equations. The publication is a valuable source of data for readers interested in intermediate algebra and analytic geometry.

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