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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.

  • Orthogonal Polynomials

    • 1st Edition
    • Géza Freud
    • English
    Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins with the fundamental properties of orthogonal polynomials. After discussing the momentum problem, it then explains the quadrature procedure, the convergence theory, and G. Szegő's theory. This book is useful for those who intend to use it as reference for future studies or as a textbook for lecture purposes

  • Mathematical Analysis and Its Applications

    Proceedings of the International Conference on Mathematical Analysis and its Applications, Kuwait, 1985
    • 1st Edition
    • S. M. Mazhar + 2 more
    • English
    Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.

  • Structural Analysis Systems

    Software — Hardware Capability — Compatibility — Applications
    • 1st Edition
    • A. Niku-Lari
    • English
    Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 1 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 22 chapters and begins with a brief description of the ADINA 84 system and its finite elements, material models, and solution capabilities. The discussion then turns to the analysis interpretive treatise and its database concept; the ANSYS program for engineering analysis; and the structural analysis capabilities of the boundary element analysis system BEASY. The following chapters explore other structural analysis programs such as DEFOR, FLASH, KYOKAI, PAFEC, and PANDA. General purpose finite element and boundary element computer programs for structural and solid mechanics applications are also described. This book will be a valuable resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

  • Annual Review in Automatic Programming

    International Tracts in Computer Science and Technology and Their Application, Volume 7
    • 1st Edition
    • Mark I. Halpern + 2 more
    • English
    Computer Science and Technology and their Application is an eight-chapter book that first presents a tutorial on database organization. Subsequent chapters describe the general concepts of Simula 67 programming language; incremental compilation and conversational interpretation; dynamic syntax; the ALGOL 68. Other chapters discuss the general purpose conversational system for graphical programming and automatic theorem proving based on resolution. A survey of extensible programming language is also shown.

  • Mathematics with Understanding

    The Commonwealth and International Library: Mathematical Topics, Volume 2
    • 1st Edition
    • Harold Fletcher + 1 more
    • C. Plumpton
    • English
    Mathematics with Understanding: Book 2 is an eight-chapter book that begins with an explanation of the number systems. Fractions, rational numbers, systems of integers, algebraic relations, shape, and measurement are then described. The modular arithmetic and groups as well as probability are also explained. This book will be useful to students and teachers for a deeper understanding of the structure behind many mathematical ideas and processes.

  • An Introduction to Real Analysis

    The Commonwealth and International Library: Mathematical Topics
    • 1st Edition
    • Derek G. Ball
    • C. Plumpton
    • English
    An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts. Topics range from sets, relations, and functions to numbers, sequences, series, derivatives, and the Riemann integral. This volume begins with an introduction to some of the problems which are met in the use of numbers for measuring, and which provide motivation for the creation of real analysis. Attention then turns to real numbers that are built up from natural numbers, with emphasis on integers, rationals, and irrationals. The chapters that follow explore the conditions under which sequences have limits and derive the limits of many important sequences, along with functions of a real variable, Rolle's theorem and the nature of the derivative, and the theory of infinite series and how the concepts may be applied to decimal representation. The book also discusses some important functions and expansions before concluding with a chapter on the Riemann integral and the problem of area and its measurement. Throughout the text the stress has been upon concepts and interesting results rather than upon techniques. Each chapter contains exercises meant to facilitate understanding of the subject matter. This book is intended for students in colleges of education and others with similar needs.

  • Statistical Methods of Discrimination and Classification

    Advances in Theory and Applications
    • 1st Edition
    • Sung C. Choi + 1 more
    • English
    Statistical Methods of Discrimination and Classification: Advances in Theory and Applications is a collection of papers that tackles the multivariate problems of discriminating and classifying subjects into exclusive population. The book presents 13 papers that cover that advancement in the statistical procedure of discriminating and classifying. The studies in the text primarily focus on various methods of discriminating and classifying variables, such as multiple discriminant analysis in the presence of mixed continuous and categorical data; choice of the smoothing parameter and efficiency of k-nearest neighbor classification; and assessing the performance of an allocation rule. The book will be of great use to researchers and practitioners of wide array of scientific disciplines, including engineering, psychology, biology, and physics.

  • Exploring University Mathematics

    Lectures Given at Bedford College, London
    • 1st Edition
    • Mary Bradburn + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.

  • Software Reliability

    State of the Art Report 14:2
    • 1st Edition
    • A. Bendell + 1 more
    • English
    Software Reliability reviews some fundamental issues of software reliability as well as the techniques, models, and metrics used to predict the reliability of software. Topics covered include fault avoidance, fault removal, and fault tolerance, along with statistical methods for the objective assessment of predictive accuracy. Development cost models and life-cycle cost models are also discussed. This book is divided into eight sections and begins with a chapter on adaptive modeling used to predict software reliability, followed by a discussion on failure rate in software reliability growth models. The next chapter deals with methods for predicting and estimating software reliability, with emphasis on their strengths and weaknesses. The reader is methodically introduced to formal inspection in software development; the effects of product design, program structure, development methods, and the environments of product testing and use on product reliability; and types of software metrics in relation to reliability. The remaining chapters explore the ways in which software engineers have sought to achieve software reliability through testing; problems and standards in software reliability data collection; and applications of time series models to software reliability analysis. This monograph will be of interest to software engineers and designers.

  • Analytical Planning

    The Organization of System
    • 1st Edition
    • Thomas L. Saaty + 1 more
    • E. Y. Rodin
    • English
    Analytical Planning: The Organization of Systems deals with systems and planning and suggests a methodological tool for integrating the two. This book presents the basic ideas behind complexity, systems, hierarchies, and prioritization and describes planning as a unique form of decision making with illustrations of some prominent philosophical and methodological approaches. It highlights some shortcomings of traditional approaches to planning and shows how these can be addressed by the systems approach. This monograph consists of seven chapters and opens with a discussion on the nature of complexity and describes an approach that facilitates the use of creativity and experience to structure complex problems. The next chapter explains the rationale for systems thinking and how reductionism works. The Analytic Hierarchy Process is then considered, along with its relationship to some of the properties of systems. The remaining chapters focus on ways of thinking about planning and philosophies of planning; strategic planning; and the applicability of the Analytic Hierarchy Process to benefit-cost analysis and resource allocation. This book is intended for managers, decision makers, and planners, as well as researchers and practitioners in applied mathematics and computer science.

  • Differential Geometry

    The Mathematical Works of J. H. C. Whitehead
    • 1st Edition
    • I. M. James
    • English
    The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead's published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead's works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an integral; and normalizators of transformation groups.

  • The Number Systems and Operations of Arithmetic

    An Explanation of the Fundamental Principles of Mathematics Which Underlie the Understanding and Use of Arithmetic, Designed for In-Service Training of Elementary School Teachers Candidates Service Training of Elementary School Teacher Candidates
    • 1st Edition
    • Orval M. Klose
    • W. J. Langford + 1 more
    • English
    The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar formal algorithms of arithmetic stem from these structural principles. The book is organized into two parts. Part I on number systems covers the origin of numerical thinking; natural operations with the natural numbers; natural laws for the natural operations; the inverse operations and convergence and the number systems generated by these operations; and classification of the number systems as abstract systems. Part II on computational algorithms discusses computations with natural numbers, rational numbers, real numbers, and complex numbers. The ""answers"" to all the exercises are also provided in the main body of the text and it is hoped that the student will form the habit of looking there for them.

  • Molecular Geometry

    • 1st Edition
    • Alison Rodger + 1 more
    • English
    Molecular Geometry discusses topics relevant to the arrangement of atoms. The book is comprised of seven chapters that tackle several areas of molecular geometry. Chapter 1 reviews the definition and determination of molecular geometry, while Chapter 2 discusses the unified view of stereochemistry and stereochemical changes. Chapter 3 covers the geometry of molecules of second row atoms, and Chapter 4 deals with the main group elements beyond the second row. The book also talks about the complexes of transition metals and f-block elements, and then covers the organometallic compounds and transition metal clusters. The last chapter tackles the consequences of small, local variations in geometry. The text will be of great use to chemists who primarily deal with the properties of molecules and atoms.

  • Periodic Differential Equations

    An Introduction to Mathieu, Lamé, and Allied Functions
    • 1st Edition
    • F. M. Arscott
    • I. N. Sneddon + 2 more
    • English
    Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.

  • Computer Jargon Explained

    • 1st Edition
    • Nicholas Enticknap
    • English
    Computer Jargon Explained is a feature in Computer Weekly publications that discusses 68 of the most commonly used technical computing terms. The book explains what the terms mean and why the terms are important to computer professionals. The text also discusses how the terms relate to the trends and developments that are driving the information technology industry. Computer jargon irritates non-computer people and in turn causes problems for computer people. The technology and the industry are changing so rapidly; it is very hard even for professionals to keep updated. Computer people do not have time to keep abreast of developments that do not immediately affect what they are doing. Nonetheless, they are expected to be experts: to have instant, detailed, accurate answers to every question a non-specialist may pose them. This book provides an alternative for computer professionals who need that wider perspective, a useful companion in familiarizing complicated computer jargons and technical terms.

  • The Monte Carlo Method

    The Method of Statistical Trials
    • 1st Edition
    • Yu.A. Shreider
    • English
    The Monte Carlo Method: The Method of Statistical Trials is a systematic account of the fundamental concepts and techniques of the Monte Carlo method, together with its range of applications. Some of these applications include the computation of definite integrals, neutron physics, and in the investigation of servicing processes. This volume is comprised of seven chapters and begins with an overview of the basic features of the Monte Carlo method and typical examples of its application to simple problems in computational mathematics. The next chapter examines the computation of multi-dimensional integrals using the Monte Carlo method. Some examples of statistical modeling of integrals are analyzed, together with the accuracy of the computations. Subsequent chapters focus on the applications of the Monte Carlo method in neutron physics; in the investigation of servicing processes; in communication theory; and in the generation of uniformly distributed random numbers on electronic computers. Methods for organizing statistical experiments on universal digital computers are discussed. This book is designed for a wide circle of readers, ranging from those who are interested in the fundamental applications of the Monte Carlo method, to those who are concerned with comparatively limited problems of the peculiarities of simulating physical processes.

  • Mathematical Analysis

    Differentiation and Integration
    • 1st Edition
    • I.G. Aramanovich + 2 more
    • I. N. Sneddon
    • English
    Mathematical Analysis: Differentiation and Integration is devoted to two basic operations of mathematical analysis, differentiation and integration. The problems directly connected with the operations of differentiation and integration of functions of one or several variables are discussed, together with elementary generalizations of these operations. This volume is comprised of seven chapters and begins by considering the differentiation of functions of one variable and of n variables, paying particular attention to derivatives and differentials as well as their properties. The next chapter deals with composite and implicit functions of n variables in connection with differentiation, along with the representation of functions in the form of superpositions. Subsequent chapters offer detailed accounts of systems of functions and curvilinear coordinates in a plane and in space; the integration of functions; and improper integrals. The final chapter examines the transformation of differential and integral expressions. This book will be a useful resource for mathematicians and mathematics students.

  • A Course of Higher Mathematics

    Adiwes International Series in Mathematics, Volume 1
    • 1st Edition
    • V. I. Smirnov
    • A. J. Lohwater
    • English
    A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed. This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.

  • Breakdowns in Computer Security

    Commentary and Analysis
    • 1st Edition
    • Michael E Rentell
    • Peter M Jenner
    • English
    Breakdowns in Computer Security: Commentary and Analysis is a compendium of 100 genuine incidents that have taken place in the past three or so years. The book describes computer breakdown incidents during the years 1988-1990 and provides to each incident a short comment indicating where improvements could have been made to alleviate or prevent the more damaging aspects of the problem. The types of generic risks (i.e. line tapping, espionage, communications failure, theft, malicious programming, hacking, disaster, and virus) that exist around IT systems into which each of the incidents described has been categorized are also considered. The book provides a complete analysis of the overall situation in respect of risks and threats to assets due to computer systems. References on computer weekly publications are also provided. Senior management personnel with responsibilities for data processing operations and company IT personnel will find this book beneficial.

  • Equations of the Mixed Type

    • 1st Edition
    • A. V. Bitsadze
    • English
    Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type. This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain. Topics covered include general remarks on linear partial differential equations of mixed type; study of the solutions of second order hyperbolic equations with initial conditions given along the lines of parabolicity; and study of the solutions of second order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. The problem of Tricomi and other mixed problems are also deliberated in this text. This publication is a good reference for students and researchers conducting work on the theory of equations of mixed type.

  • Statistical Methods in Laboratory Medicine

    • 1st Edition
    • P. W. Strike
    • English
    Statistical Methods in Laboratory Medicine focuses on the application of statistics in laboratory medicine. The book first ponders on quantitative and random variables, exploratory data analysis (EDA), probability, and probability distributions. Discussions focus on negative binomial distribution, non-random distributions, binomial distribution, fitting the binomial model to sample data, conditional probability and statistical independence, rules of probability, and Bayes' theorem. The text then examines inference, regression, and measurement and control. Topics cover analytical goals for assay precision, estimating the error variance components, indirect structural assays, functional assays, bivariate regression model, and least-squares estimates of the functional relation parameters. The manuscript takes a look at assay method comparison studies, multivariate analysis, forecasting and control, and test interpretation. Concerns include time series structure and terminology, polynomial regression, assessing the performance of the classification rule, quantitative screening tests, sample correlation coefficient, and computer assisted diagnosis. The book is a dependable reference for medical experts and statisticians interested in the employment of statistics in laboratory medicine.

  • A Selection of Problems in the Theory of Numbers

    Popular Lectures in Mathematics
    • 1st Edition
    • Waclaw Sierpinski
    • I. N. Sneddon + 1 more
    • English
    A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries of geometry and arithmetic, including an introduction to prime numbers. This book discusses the conjecture of Goldbach; hypothesis of Gilbreath; decomposition of a natural number into prime factors; simple theorem of Fermat; and Lagrange's theorem. The decomposition of a prime number into the sum of two squares; quadratic residues; Mersenne numbers; solution of equations in prime numbers; and magic squares formed from prime numbers are also elaborated in this text. This publication is a good reference for students majoring in mathematics, specifically on arithmetic and geometry.

  • Digital Differential Analysers

    International Series of Monographs on Electronics and Instrumentation
    • 1st Edition
    • A. V. Shileiko
    • D. W. Fry + 1 more
    • English
    Digital Differential Analysers presents the principles, operations, design, and applications of digital differential analyzers, a machine with the ability to present initial quantities and the possibility of dividing them into separate functional units performing a number of basic mathematical operations. The book discusses the theoretical principles underlying the operation of digital differential analyzers, such as the use of the delta-modulation method and function-generator units. Digital integration methods and the classes of digital differential analyzer designs are also reviewed. The text enumerates the applications of digital differential analyzers, especially in the solution of various mathematical problems, and its applications in automatic control systems. Computer scientists, programmers, computer engineers, systems analysts, mathematicians, and students of computer science will find the book an interesting read.

  • Partial Differential Equations of Mathematical Physics

    Adiwes International Series in Mathematics
    • 1st Edition
    • S. L. Sobolev
    • A.J. Lohwater
    • English
    Partial Differential Equations of Mathematical Physics emphasizes the study of second-order partial differential equations of mathematical physics, which is deemed as the foundation of investigations into waves, heat conduction, hydrodynamics, and other physical problems. The book discusses in detail a wide spectrum of topics related to partial differential equations, such as the theories of sets and of Lebesgue integration, integral equations, Green's function, and the proof of the Fourier method. Theoretical physicists, experimental physicists, mathematicians engaged in pure and applied mathematics, and researchers will benefit greatly from this book.

  • From Telecommunications to Electronic Services

    A Global Spectrum of Definitions, Boundary Lines, and Structures
    • 1st Edition
    • Robert R. Bruce + 2 more
    • English
    Report of the Study of Telecommunications Structures: From Telecommunications to Electronic Services: A Global Spectrum of Definitions, Boundary Lines, and Structures focuses on the advancements in the processes, methodologies, and regulations involved in telecommunications and electronic services. The book first elaborates on common themes and a comparative analysis, including a comparative assessment of definitional and boundary line issues; varying national approaches to the structures of the telecommunications industry; and "engines" for change, institutional mechanisms, and economic pressures. The manuscript then examines international policy issues and institutional perspective of international issues. Topics cover agreements for information and financial service-oriented networks; enhanced service interconnection; impact of international satellite services on national tariff and service policies; and spillover of changes in domestic policy to the international arena. The publication takes a look at the growth of telecommunications and electronic services in the United States, United Kingdom, Japan, and Canada. Discussions focus on the British approach to service definitions and categories; definitional issues raised by the telecommunications business law; reconciling competitive goals with advanced service capabilities; jurisdictional boundaries in Canadian telecommunications; and domestic satellite policies. The text is a valuable source of data for telecommunications and electronic services experts wanting to explore the progress in telecommunications and electronic services.

  • Elementary Analysis

    The Commonwealth and International Library: Mathematics Division, Volume 1
    • 1st Edition
    • K. S. Snell + 1 more
    • W. J. Langford + 1 more
    • English
    Elementary Analysis, Volume 1 introduces the reader to elementary analysis in an informal manner and provides the practical experience in algebraic and analytic operations to lay a sound foundation of basic skills. The preliminary ideas are illustrated by applications to the simpler algebraic functions. Emphasis is on fundamental principles, rather than manipulative techniques. This volume is comprised of 14 chapters and begins with a discussion on number systems, covering concepts ranging from number scales to rational and real numbers, binary operations, and deductive methods. The following chapters deal with sets, vectors and congruences, and functions. Exponential and logarithmic functions, the straight line, and linear function are also considered. The remaining chapters focus on the quadratic function; the principle of mathematical induction and its applications; differentiation and the inverse process; and integration and its applications. Differential equations are presented, along with the definite integral. This book will be of particular value to teachers and students in training colleges.

  • Direct and Converse Theorems

    The Elements of Symbolic Logic
    • 1st Edition
    • I. S. Gradshtein
    • I. N. Sneddon + 2 more
    • English
    Direct and Converse Theorems: The Elements of Symbolic Logic, Third Edition explains the logical relations between direct, converse, inverse, and inverse converse theorems, as well as the concept of necessary and sufficient conditions. This book consists of two chapters. The first chapter is devoted to the question of negation. Connected with the question of the negation of a proposition are interrelations of the direct and converse and also of the direct and inverse theorems; the interrelations of necessary and sufficient conditions; and the definition of the locus of a point. The second chapter explains several questions of mathematical logic–a science that is being developed in connection with the theory of mathematical proof. This edition is provided with a large number of problems and questions to help easily understand the material. The book is intended for students studying mathematics, specifically at intermediate colleges of various types. The text is also a useful reference for university students and teachers.

  • Advances in Programming and Non-Numerical Computation

    • 1st Edition
    • L. Fox
    • English
    Advances in Programming and Non-Numerical Computation is the third volume of the Proceedings of Summer Schools organized by the Oxford University Computing Laboratory and the Delegacy for Extra-Mural Studies. The 27 lectures summarized in this volume were from 1963 Summer School. The book is organized two parts, keeping the theories of programming separate from the uses of programs. In the first part, an introduction gives a succinct historical account of the development of programming since the invention of the digital computer, and the other four chapters discuss the theory and the developing practice of methods of communicating with the computer, particularly for non-numerical purposes. The second provides a summary of possible non-numerical work, and more detail on three particular applications, in theorem-proving, game-playing, and learning, and information retrieval. It is hoped that this book provides a suitable introduction for a final year student seeking interesting research possibilities not too closely connected with his undergraduate work. It should also give to the intelligent layman, who is prepared to do some non-trivial reading, ideas about just what a machine can do, how it does it, and some of the methods, and the problems, of making further advances.

  • Computing Methods

    • 1st Edition
    • I. S. Berezin + 1 more
    • English
    Computing Methods, Volume 2 is a five-chapter text that presents the numerical methods of solving sets of several mathematical equations. This volume includes computation sets of linear algebraic equations, high degree equations and transcendental equations, numerical methods of finding eigenvalues, and approximate methods of solving ordinary differential equations, partial differential equations and integral equations. The book is intended as a text-book for students in mechanical mathematical and physics-mathematical faculties specializing in computer mathematics and persons interested in the theory and practice of numerical methods.

  • Solution of Cubic and Quartic Equations

    • 1st Edition
    • S. Neumark
    • English
    Solution of Cubic and Quartic Equations presents the classical methods in solving cubic and quartic equations to the highest possible degree of efficiency. This book suggests a rapid and efficient method of computing the roots of an arbitrary cubic equation with real coefficients, by using specially computed 5-figure tables. The method of factorizing an arbitrary quartic equation by an appropriate use of a resolvent cubic is also discussed. Section 4 of this text gives several numerical examples that show the rapidity of the procedures suggested. This publication is valuable to mathematicians and students intending to acquire knowledge of the cubic and quartic equations.

  • Complexes and Manifolds

    The Mathematical Works of J. H. C. Whitehead
    • 1st Edition
    • I. M. James
    • English
    The Mathematical Works of J. H. C. Whitehead, Volume 2: Complexes and Manifolds contains papers that are related in some way to the classification problem for manifolds, especially the Poincare conjecture, but towards the end one sees the gradual transition in the direction of algebraic topology. This volume includes all Whitehead's published work up to the year 1941, as well as a few later papers. The book begins with a list of Whitehead's works, in chronological order of writing. This is followed by separate chapters on topics such as analytical complexes; duality and intersection chains in combinatorial analysis situs; three-dimensional manifolds; doubled knots; certain sets of elements in a free group; certain invariants introduced by Reidemeister; and the asphericity of regions in a 3-sphere. Also included are chapters on the homotopy type of manifolds; the incidence matrices, nuclei and homotopy types; vector fields on the n-sphere; and operators in relative homotopy groups.

  • Outline Course of Pure Mathematics

    • 1st Edition
    • A. F. Horadam
    • English
    Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.

  • Software for Computer Control 1982

    Proceedings of the Third IFAC/IFIP Symposium, Madrid, Spain, 5-8 October 1982
    • 1st Edition
    • G. Ferrate + 1 more
    • English
    Software for Computer Control 1982 covers the proceedings of the Third IFAC/IFIP Symposium. The book discusses the state of software development for digital computer applications for science and control. With a total of 73 papers, the book covers topics such as real-time language and operating systems; man-machine communication software; software for robots; software for distributed control systems; C.A.D. of digital computer controls systems; algorithms for digital computer control; control software engineering and management; and industrial applications. Computer scientists, engineers, and I.T. professionals will find this book interesting, since it provides discussions on the various applications of computer programs.

  • The Computer Graphics Interface

    Computer Graphics Standards Series
    • 1st Edition
    • Karla Steinbrugge Chauveau + 2 more
    • B. Shepherd
    • English
    The Computer Graphics Interface provides a concise discussion of computer graphics interface (CGI) standards. The title is comprised of seven chapters that cover the concepts of the CGI standard. Figures and examples are also included. The first chapter provides a general overview of CGI; this chapter covers graphics standards, functional specifications, and syntactic interfaces. Next, the book discusses the basic concepts of CGI, such as inquiry, profiles, and registration. The third chapter covers the CGI concepts and functions, while the fourth chapter deals with the concept of graphic objects. Chapter 5 discusses segments, while Chapter 6 tackles raster devices. The last chapter covers mechanism for manipulating graphic objects through the use of input/output devices. The text will be of great use to both novice and expert computer graphics artist, particularly those who are involved in designing user interface.

  • Elementary Analysis

    The Commonwealth and International Library: Mathematics Division, Volume 2
    • 1st Edition
    • K. S. Snell + 1 more
    • W. J. Langford + 1 more
    • English
    Elementary Analysis, Volume 2 introduces several of the ideas of modern mathematics in a casual manner and provides the practical experience in algebraic and analytic operations that lays a sound foundation of basic skills. This book focuses on the nature of number, algebraic and logical structure, groups, rings, fields, vector spaces, matrices, sequences, limits, functions and inverse functions, complex numbers, and probability. The logical structure of analysis given through the treatment of differentiation and integration, with applications to the trigonometric and logarithmic functions, is also briefly discussed. This volume begins with a description of the trigonometric functions of the general angle and an introduction to the binomial theorem and series. The rest of the chapters cover the numerical solution of equations, analytical geometry, Argand Diagram, numerical methods, and methods of approximation that form an important section of modern applied mathematics. This publication is valuable to teachers and students in training colleges.

  • Mathematical Analysis

    A Special Course
    • 1st Edition
    • G. Ye. Shilov
    • D. A. R. Wallace
    • English
    Mathematical Analysis: A Special Course covers the fundamentals, principles, and theories that make up mathematical analysis. The title first provides an account of set theory, and then proceeds to detailing the elements of the theory of metric and normed linear spaces. Next, the selection covers the calculus of variations, along with the theory of Lebesgue integral. The text also tackles the geometry of Hilbert space and the relation between integration and differentiation. The last chapter of the title talks about the Fourier transform. The book will be of great use to individuals who want to expand and enhance their understanding of mathematical analysis.

  • Security for Small Computer Systems

    A Practical Guide for Users
    • 1st Edition
    • Tricia Saddington
    • English
    Security for Small Computer Systems: A Practical Guide for Users is a guidebook for security concerns for small computers. The book provides security advice for the end-users of small computers in different aspects of computing security. Chapter 1 discusses the security and threats, and Chapter 2 covers the physical aspect of computer security. The text also talks about the protection of data, and then deals with the defenses against fraud. Survival planning and risk assessment are also encompassed. The last chapter tackles security management from an organizational perspective. The book will be of great use to users of a small computer system.

  • Concise Vector Analysis

    The Commonwealth and International Library of Science, Technology, Engineering and Liberal Studies: Mathematics Division
    • 1st Edition
    • C. J. Eliezer
    • W. J. Langford + 2 more
    • English
    Concise Vector Analysis is a five-chapter introductory account of the methods and techniques of vector analysis. These methods are indispensable tools in mathematics, physics, and engineering. The book is based on lectures given by the author in the University of Ceylon. The first two chapters deal with vector algebra. These chapters particularly present the addition, representation, and resolution of vectors. The next two chapters examine the various aspects and specificities of vector calculus. The last chapter looks into some standard applications of vector algebra and calculus. This book will prove useful to applied mathematicians, students, and researchers.

  • Numerical Analysis

    The Commonwealth and International Library: Higher Mathematics for Scientists and Engineers
    • 1st Edition
    • I. M. Khabaza
    • F. M. Arscott
    • English
    Numerical Analysis is an elementary introduction to numerical analysis, its applications, limitations, and pitfalls. Methods suitable for digital computers are emphasized, but some desk computations are also described. Topics covered range from the use of digital computers in numerical work to errors in computations using desk machines, finite difference methods, and numerical solution of ordinary differential equations. This book is comprised of eight chapters and begins with an overview of the importance of digital computers in numerical analysis, followed by a discussion on errors in computations using desk machines. Subsequent chapters deal with recurrence relations and algebraic equations; basic properties of matrices; relaxation and finite difference methods; and numerical methods for unequal intervals. The derivation of Lagrange's interpolation polynomial is explained, together with curve fitting and the method of least squares, orthogonal polynomials, and integration methods. This monograph will be of interest to practicing engineers, mathematicians, and scientists as well as students.

  • Lattice Theory

    The Common Wealth and International Library: Mathematics Division
    • 1st Edition
    • Thomas Donnellan
    • W. J. Langford + 2 more
    • English
    Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized into six chapters, this book begins with an overview of the concept of several topics, including sets in general, the relations and operations, the relation of equivalence, and the relation of congruence. This text then defines the relation of partial order and then partially ordered sets, including chains. Other chapters examine the properties of meet and join and explain dimensional considerations. This book discusses as well certain relations between individual elements of a lattice, between subsets of a lattice, and between lattices themselves. The final chapter deals with distributive lattices and explores the complements in distributive lattices. This book is a valuable resource for college and university students of mathematics, logic, and such technologies as communications engineering.

  • Capability-Based Computer Systems

    • 1st Edition
    • Henry M. Levy
    • English
    Capability-Based Computer Systems focuses on computer programs and their capabilities. The text first elaborates capability- and object-based system concepts, including capability-based systems, object-based approach, and summary. The book then describes early descriptor architectures and explains the Burroughs B5000, Rice University Computer, and Basic Language Machine. The text also focuses on early capability architectures. Dennis and Van Horn's Supervisor; CAL-TSS System; MIT PDP-1 Timesharing System; and Chicago Magic Number Machine are discussed. The book then describes Plessey System 250, Cambridge CAP Computer, and Hydra System. The selection also discusses STAROS System and IBM System/38. STAROS object support and abstract type management, as well as IBM System/38 profiles and authority and programs/procedures, are described. The book highlights Intel iAPX 432, and then considers segment and objects, program execution, storage resources, and abstraction support. Problems related with capability-based architectures are also noted. The text is a good source for readers wanting to study computer programming.

  • Sixth Form Pure Mathematics

    Volume 1
    • 2nd Edition
    • C. Plumpton + 1 more
    • English
    Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for the single subject Mathematics at Advanced Level. Early and rapid progress in calculus is made at the beginning of this volume in order to facilitate the student's progress along the most satisfactory lines in Pure Mathematics, in Theoretical Mechanics and in Physics. The worked examples are an essential feature of this book and they are followed by routine exercises within the text of each chapter, associated closely with the work on which they are dependent. The exercises at the end of each chapter collectively embody all the topics of that chapter and, where possible, the preceding chapters also.

  • Computer Science

    A Concise Introduction
    • 1st Edition
    • Ian Sinclair
    • English
    Computer Science: A Concise Introduction covers the fundamentals of computer science. The book describes micro-, mini-, and mainframe computers and their uses; the ranges and types of computers and peripherals currently available; applications to numerical computation; and commercial data processing and industrial control processes. The functions of data preparation, data control, computer operations, applications programming, systems analysis and design, database administration, and network control are also encompassed. The book then discusses batch, on-line, and real-time systems; the basic concepts of computer architecture; and the characteristics of main memory and backing storage. The main characteristics of common types of input, output, and input/output devices used in commercial computer applications and data transmission system are also considered. The book tackles the organization and accessing of serial, sequential, and indexed sequential file; file processing and management; and the concepts and functions of operating systems. The text describes on-line and off-line programming methods as well. Computer science students will find the book useful.

  • How to Find Out in Mathematics

    A Guide to Sources of Information
    • 2nd Edition
    • John E. Pemberton
    • G. Chandler
    • English
    How to Find Out in Mathematics: A Guide to Sources of Information, Second Revised Edition presents updated topics about probability and statistics, dictionaries and encyclopedias, computing, and mathematical education. The book discusses the modifications of the content of professional actuarial examinations; the assimilation of modern mathematics into the school curriculum; and the establishment of government departments to administer financial support for mathematical research. The text also describes the efforts to improve communication between mathematicians (i.e. the inception of the Mathematical Offprint Service and the publication of Contents of Contemporary Mathematical Journals by the American Mathematical Society). People who are studying, teaching, or applying mathematics will find the book helpful.

  • Sixth Form Pure Mathematics

    Volume 2
    • 1st Edition
    • C. Plumpton + 1 more
    • English
    Sixth Form Pure Mathematics, Volume 2, provides an introduction to inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, and a range of mathematical methods including the use of determinants, the manipulation of inequalities, the solution of easy differential equations, and the use of approximate numerical methods. Complex numbers are defined and the various ways of representing and manipulating them are considered. Polar coordinates, curvature, an elementary study of lengths of curves and areas of surfaces of revolution, a more mature discussion of two-dimensional coordinate geometry than was possible in Volume 1, and an elementary introduction to the methods of three dimensional coordinate geometry comprise the geometrical content of the book. Throughout, the authors have tried to preserve the concentric style which they used in Volume 1 and the many worked examples and exercises in each chapter are designed or chosen to provide a continuous reminder of the work of the preceding chapters. Except for Pure Geometry, the two volumes cover almost all of the syllabuses for Advanced Pure Mathematics of the nine Examining Boards. This book provides an adequate course for mathematical pupils at Grammar Schools and a useful introductory course for Science and Engineering students in their first year at University or Technical College or engaged in private study.

  • Analysis and Design of Certain Quantitative Multiresponse Experiments

    International Series of Monographs in Applied Statistics and Biometry
    • 1st Edition
    • S. N. Roy + 2 more
    • English
    Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design for multiresponse experiments; and (iii) the actual procedures and interpretation that have been used for this purpose by the authors. The development in this monograph is such that the theory and methods of uniresponse analysis and design stay very close to classical ANOVA. The book first discusses the multivariate aspect of linear models for location type of parameters, but under a univariate design, i.e. one in which each experimental unit is measured or studied with respect to all the responses. Separate chapters cover point estimation of location parameters; testing of linear hypotheses; properties of test procedures; and confidence bounds on a set of parametric functions. Subsequent chapters discuss a graphical internal comparison method for analyzing certain kinds of multiresponse experimental data; two classes of multiresponse designs, i.e. designated hierarchical and p-block designs; and the construction of various kinds of multiresponse designs.

  • Piaget—a Practical Consideration

    A Consideration of the General Theories and Work of Jean Piaget, with an Account of a Short Follow Up Study of His Work on the Development of the Concept of Geometry
    • 1st Edition
    • G. A. Helmore
    • English
    Piaget—A Practical Consideration deals with the general theories and work of Jean Piaget, with an account of a short follow up study of his work on the development of the concept of geometry. Piaget's theory concerning the general pattern of intellectual development in children is discussed, along with his study of children from two English primary schools in differing environments. This book is comprised of seven chapters and opens with a brief background on the life of Piaget and his approach to his work. The next chapter summarizes Piaget's general theories, including his concept of intelligence and its development; his studies of the progress made by children towards higher levels of equilibrium; and the Piagetian stages of development. The reader is then introduced to Piaget's experiments and their results on the development of the thought, language, and moral judgment of the child. The final chapter considers some recorded criticisms of Piaget's methods and maturation system. This monograph will be a useful resource for educators and psychologists.

  • Safety Aspects of Computer Control

    • 1st Edition
    • Phil Bennett
    • English
    Safety Aspects of Computer Control focuses on the increased usage of computers and safety procedures for the control of their applications. The selection first elaborates on software in safety-related systems, regulatory issues, and legal liability. Topics cover product liability, liability under the contract law, liability under the law of negligence, methods of ensuring safety, some aspects of regulation of software safety, purpose and principles of regulation, and direct regulation. The book then examines standardization efforts worldwide; real-time software requirements specification and animation using extended Petri nets; and independent software verification and validation in practice. Discussions focus on verification and validation principles, organizational principles, specification language, extended Petri nets environment, history of software standards, and standardization work realized through ISO or IEC. The manuscript takes a look at design and licensing of safety-related software, fault-tolerant control for safety, and use and relevance for the development of safety-critical systems. Concerns include formal methods in the safety-critical systems life cycle, random and systematic failures, hardware and systematic failures, and software quality standards. The book is highly recommended for computer science experts and researchers interested in the safety aspects of computer control.

  • Statistics

    • 1st Edition
    • H. T. Hayslett
    • Patrick Murphy
    • English
    Statistics covers the basic principles of Statistics. The book starts by tackling the importance and the two kinds of statistics; the presentation of sample data; the definition, illustration and explanation of several measures of location; and the measures of variation. The text then discusses elementary probability, the normal distribution and the normal approximation to the binomial. Testing of statistical hypotheses and tests of hypotheses about the theoretical proportion of successes in a binomial population and about the theoretical mean of a normal population are explained. The text then considers testing of hypotheses about the mean of a normal population when the population variance is not known and testing the hypotheses about the mean of populations that are not normal. The book also describes correlation and regression, confidence limits, non-parametric statistics, and the analysis of variance. The text concludes by giving more complex problems and step-by-step directions for the various statistical tests. Statisticians and students taking Statistics courses will find the book invaluable.

  • Numerical Solution of Ordinary and Partial Differential Equations

    Based on a Summer School Held in Oxford, August-September 1961
    • 1st Edition
    • L. Fox
    • English
    Numerical Solution of Ordinary and Partial Differential Equations is based on a summer school held in Oxford in August-September 1961. The book is organized into four parts. The first three cover the numerical solution of ordinary differential equations, integral equations, and partial differential equations of quasi-linear form. Most of the techniques are evaluated from the standpoints of accuracy, convergence, and stability (in the various senses of these terms) as well as ease of coding and convenience of machine computation. The last part, on practical problems, uses and develops the techniques for the treatment of problems of the greatest difficulty and complexity, which tax not only the best machines but also the best brains. This book was written for scientists who have problems to solve, and who want to know what methods exist, why and in what circumstances some are better than others, and how to adapt and develop techniques for new problems. The budding numerical analyst should also benefit from this book, and should find some topics for valuable research. The first three parts, in fact, could be used not only by practical men but also by students, though a preliminary elementary course would assist the reading.

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