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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.

  • Six-Figure Tables of Trigonometric Functions

    Mathematical Tables Series
    • 1st Edition
    • L. S. Khrenov
    • English
    THE PRESENT six-figure trigonometric tables complete the series of tables of the natural values of the trigonometric functions published by Fizmatgiz. Now that small computers have become very widely available, almost all computations are carried out by machine, and the majority of computational schemes arc suited to this purpose. The situation calls urgently for the availability of tables containing the natural values of all six trigonometric functions. The following special factor emerges here. In logarithmic computations the same relative accuracy is guaranteed more or less automatically for all values of the argument: the number of correct significant figures in the result is either equal to or (in rare cases) one less than, the number of significant figures in the mantissa of the logarithm. In computations with natural values of the functions the same relative accuracy is guaranteed in practice for all arguments only by having a constant nmber of significant figures throughout the tables. Until recently however, tables of the natural values of the trigonometric functions have been compiled both in Russia and abroad with the same number of places after the decimal point, which leads to a loss of accuracy when computing with functions of small angles. In view of this there is an urgent need for tables of the natural values of the trigonometric functions with a constant number of significant figures which substantially guarantees roughly the- same relative accuracy for all angles. The present tables, together with the following, already published by Fizmatgiz: Fil'e-figure Tables (L. S. Khrenov~ 1954), Five-.figure Tables l~,ith the Argument in Time (L. S. Khrenov, 1954), Seven-figure Tables(L. S. Khrenov, 1956) and Six-figure Tables with the Argunlent in Time (S. A. Angelov, 1957), form a complete series ~ith the same number of significant figures, satisfying the main requirements of a wide variety of computers. When compiling the present tables, use was made for purposes of collation of the following tables of the natural values of the trigonometric functions: The I)-figure Table..' of H. Andoyer, (Paris, 1915-1918), the Eight-figure Table of J. Peters (Berlin) J939), the Seven-figure Table of °L.S. Khrenov (2nd. ed., Gostekhizdat, 1956), the Seven-figure Table of H. C. Ives, and the Eight-figure Tables oj' the Logarith,l1.ft of NumberaV and oJ the Trigonometric functions of J. Bauschin.e;er and J. Peters (Geodezizdat, 1942 and 1944).

  • Fundamentals of Applied Probability and Random Processes

    • 2nd Edition
    • Oliver Ibe
    • English
    The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study.

  • The Handbook of Artificial Intelligence

    Volume 3
    • 1st Edition
    • Paul R. Cohen + 1 more
    • English
    The Handbook of Artificial Intelligence, Volume I focuses on the progress in artificial intelligence (AI) and its increasing applications, including parsing, grammars, and search methods. The book first elaborates on AI, AI handbook and literature, problem representation, search methods, and sample search programs. The text then ponders on representation of knowledge, including survey of representation techniques and representation schemes. The manuscript explores understanding natural languages, as well as machine translation, grammars, parsing, test generation, and natural language processing systems. The book also takes a look at understanding spoken language, including systems architecture and the ARPA SUR projects. The text is a valuable source of information for computer science experts and researchers interested in pursuing further research in artificial intelligence

  • Numerical Methods of Reactor Analysis

    • 1st Edition
    • Melville Clark + 1 more
    • V. L. Parsegian
    • English
    Numerical Methods of Reactor Analysis is an introduction to topics of numerical analysis frequently used in the nuclear reactor field. Emphasis is placed on methods by which machine calculations are performed on practical problems related to nuclear reactors. The multigroup diffusion methods and the Monte Carlo method are discussed. Comprised of six chapters, this volume begins by describing a simplified formulation of linear algebra, with emphasis on matrices and operations with matrices as well as the properties of special matrices. Following the introduction of a geometric interpretation of matrix equations, many matrix relations are derived, including relations used in nuclear engineering. The next chapter reviews the elementary properties of finite difference equations, with particular reference to techniques suited to digital computers. Subsequent chapters focus on numerical solutions of equations; multigroup diffusion methods; transport methods; and the Monte Carlo method. This book will be a valuable resource for first and second year graduate students taking an introductory course in reactor physics.

  • Readings in Distributed Artificial Intelligence

    • 1st Edition
    • Alan H. Bond + 1 more
    • English
    Most artificial intelligence research investigates intelligent behavior for a single agent--solving problems heuristically, understanding natural language, and so on. Distributed Artificial Intelligence (DAI) is concerned with coordinated intelligent behavior: intelligent agents coordinating their knowledge, skills, and plans to act or solve problems, working toward a single goal, or toward separate, individual goals that interact. DAI provides intellectual insights about organization, interaction, and problem solving among intelligent agents. This comprehensive collection of articles shows the breadth and depth of DAI research. The selected information is relevant to emerging DAI technologies as well as to practical problems in artificial intelligence, distributed computing systems, and human-computer interaction. "Readings in Distributed Artificial Intelligence" proposes a framework for understanding the problems and possibilities of DAI. It divides the study into three realms: the natural systems approach (emulating strategies and representations people use to coordinate their activities), the engineering/science perspective (building automated, coordinated problem solvers for specific applications), and a third, hybrid approach that is useful in analyzing and developing mixed collections of machines and human agents working together. The editors introduce the volume with an important survey of the motivations, research, and results of work in DAI. This historical and conceptual overview combines with chapter introductions to guide the reader through this fascinating field. A unique and extensive bibliography is also provided.

  • Mathematical Methods

    A Course of Mathematics for Engineers and Scientists
    • 2nd Edition
    • Brian H. Chirgwin + 1 more
    • English
    Mathematical Methods is an introductory course on mathematical methods for students aiming for a first degree in engineering or science. Topics covered include differentiation and integration and their applications; the geometry of two dimensions, and complex numbers. Statistics and probability are also discussed. Comprised of eight chapters, this volume begins with an introduction to fundamental concepts, including the roots of equations; elementary two-dimensional coordinate geometry; limits and continuity; inequalities and quadratic forms; mathematical induction; and convergence. The discussion then turns to the techniques of differentiation and integration and their applications; the geometry of two dimensions; and complex numbers and their roots, together with trigonometric expansions. The book concludes with a chapter on statistics and probability, paying particular attention to the properties of a frequency distribution; some special probability distributions; normal distribution and the error function; and some probability problems. This monograph is intended for students taking a course in engineering or science.

  • Advanced Calculus and Vector Field Theory

    • 1st Edition
    • Kathleen M. Urwin
    • English
    THIS book falls naturally into two parts. In Chapters 1-5 the basic ideas and techniques of partial differentiation, and of line, multiple and surface integrals are discussed. Chapters 6 and 7 give the elements of vector field theory, taking the integral definitions of the divergence and curl of a vector field as their starting points; the last chapter surveys very briefly some of the immediate applications of vector field theory to five branches of applied mathematics. Throughout I have given numerous worked examples. In these I have paid particular attention to those points which in my own experience I have found to give most difficulty to students. In the text I have denoted spherical polar coordinates by (/-, 0, ψ)9 and cylindrical polar coordinates by (p, ψ, ζ), so that ψ measures the same angle in both systems. Since there is no one standard notation for these systems, the reader will meet different notations in the course of his reading, and in quoting examination questions in the exercises I have kept to the notation of the originals. The Exercises at the end of each section are intended to give practice in the basic techniques just discussed. The Miscellaneous Exercises are more varied, and contain many examination questions.

  • Complex Variables

    • 1st Edition
    • H. R. Chillingworth
    • C. Plumpton
    • English
    Complex Variables focuses on the principles, characteristics, and functions of complex variables, as well as infinite series, complex numbers, and convergence and divergence. The book first examines complex numbers and the sequences and limits of point sets in the complex plane. Discussions focus on non-decreasing real sequences, boundedness of convergent sequences, boundary points, closed sets, bounded and unbounded sets in the complex plane, complex conjugates, complex numbers as an extension of the real number field, scalar multiplication, modulus, and number pairs. The manuscript then takes a look at the tests for convergence of infinite series, functions of a complex variable, and elementary functions. Concerns cover repeated differentiation of an infinite series, differentiability of power series, hyperbolic functions, link between the exponential and trigonometric functions, orthogonal families of curves, differentiability, testing for convergence or divergence, and series with negative or complex terms. The text examines miscellaneous theorems, contour integration, zeros and singularities, and integration, including order of magnitude of a function, infinite integrals involving trigonometric functions, and sum-limit and anti-differentiation... The publication is highly recommended for students and teachers wanting to explore complex variables.

  • Analog and Hybrid Computing

    • 1st Edition
    • D. E. Hyndman
    • N. Hiller
    • English
    Analog and Hybrid Computing considers the fundamental aspects and principled of analog and hybrid computers and their applications in various scientific investigations. This book is composed of eight chapters, and begins with a brief presentation of the history of computing devices using a generalized flow diagram of computation, illustrating the fundamental differences between analog and digital computers. The subsequent chapters deal with the theory and the operation of the basic units found in electronic analog computers, the methods of scaling problems for the computer, and the organization and operation of computer. These topics are followed by discussions on the solutions of time-varying and non-linear differential equations and the simulation of transfer functions, which is an important aspect of analog computation. The concluding chapter describes some of the additional hardware in modern computers. These chapters particularly highlight the features and advantages of hybrid computing. This book is of value to computer engineers, scientists, and researchers, as well as advanced computer engineering students.

  • French's Index of Differential Diagnosis

    • 7th Edition
    • Arthur H. Douthwaite
    • English
    AFTER the appearance of the sixth edition, Herbert French had resolved to take no active part in any future production. I decided that it was not only desirable but necessary to undertake considerable reconstruction in the next edition. Although the basic principles of diagnosis must be static for all time, the considerably increasedscope of investigation by accessory aids demanded the inclusion of much new material and in many instances the production of entirely re-written rather than revised articles, especially as many of the earlier contributors have died or retired. By a more logical division and allocation among new contributors, considerable overlapping or repetition evident in earlier editions has been avoided and has resulted, it is hoped, in a more compact and generally useful work. It will be noticed that the title has been altered to conform to the actual contents. By judicious pruning the index has been simplified and abbreviated whilst retaining all essential references. This has been carried out by the publishers, Messrs. John Wright & Sons, of Bristol, with an accuracy ensured from their wide experience. The highest standard of format and printing confidently expected has been maintained. For many of the illustrations I am indebted to Professor J. Whillis, who is in charge of the Department of Medical Illustration, Guy's Hospital, and to Dr. T. H. Hills, Director of the Department of Diagnostic Radiology, Guy's Hospital. In other cases acknowledgment of the source is appended to the picture. To the deletion of obsolete material and the inclusion of much that is new must be added the editorial complication of extensive cross-references when several independent contributors have to be correlated—a difficulty enhanced by the long interval that has been unavoidable between the submitting of manuscripts and publication. I have been exceptionally fortunate in having as counsellor, collaborator, and contributor Sir Adolphe Abrahams. He has spared no pains in respect of writing, proof-reading, and general advice to help me to carry on the work of my old teacher. To him I offer my warmest thanks

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