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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.

  • Tables of Lamé Polynomials

    Mathematical Tables
    • 1st Edition
    • F.M. Arscott + 1 more
    • English
    Tables of Lamé polynomials presents tables of Lamé polynomials, which were calculated on the Ferranti "Mercury" machine at the London University Computer Unit in England. Lamé polynomials are solutions of Lamé differential equation, which is used in a number of different forms, including the "Jacobian form". A particular Lamé polynomial is specified completely (apart from a constant multiplier) by the type number, the value of N, and the position of the corresponding eigenvalue of h in the set of such eigenvalues. Comprised of three chapters, this volume begins with an introduction to the theory of Lamé polynomials and the equations involved, together with their elementary properties and correspondence with other notations. The tabulated form of Lamé polynomials and the method of tabulation are discussed, and approximations in limiting cases are considered. The next chapter deals with the method of computation of the Lamé polynomials, including the calculation of the coefficients, eigenroots, and eigenvectors. The book concludes with a description of the instructions and terms used in the program using the PIG input routine on the Ferranti "Mercury" computer. This monograph will be of interest to mathematicians and mathematics students.

  • Identifiability of Parametric Models

    • 1st Edition
    • E. Walter
    • English
    Identifiability of Parametric Models provides a comprehensive presentation of identifiability. This book is divided into 11 chapters. Chapter 1 reviews the basic methods for structural identifiability testing. The methods that deal with large-scale models and propose conjectures on global identifiability are considered in Chapter 2, while the problems of initial model selection and generating the set of models that have the exact same input-output behavior are evaluated in Chapter 3. Chapters 4 and 5 cover nonlinear models. The relations between identifiability and the well-posedness of the estimation problem are analyzed in Chapter 6, followed by a description of the algebraic manipulations required for testing a model for structural controllability, observability, identifiability, or distinguishability in chapter 7. The rest of the chapters are devoted to the relations between identifiability and parameter uncertainty. This publication is beneficial to students and researchers aiming to acquire knowledge of the identifiability of parametric models.

  • Mathematics for Physical Science and Engineering

    Symbolic Computing Applications in Maple and Mathematica
    • 1st Edition
    • Frank E. Harris
    • English
    Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science.

  • Systems Analysis

    Made Simple Computerbooks
    • 1st Edition
    • Lyn Antill + 1 more
    • English
    Systems Analysis: Made Simple Computerbooks introduces the essential elements of information systems analysis and design and teaches basic technical skills required for the tasks involved. The book covers the aspects to the design of an information system; information systems and the organization, including the types of information processing activity and computer-based information systems; the role of the systems analyst; and the human activity system. The text also discusses information modeling, socio-technical design, man-machine interface, and the database design. Software specification and selection, opportunities and constraints of a computer, and hardware specification and system implementation are also considered. The book concludes by giving an overview of systems analysis. The text is useful to systems and information analysts.

  • Theory of Radicals

    • 1st Edition
    • L. Márki + 1 more
    • English
    Radicals arose originally from structural investigations in rings, but later on they infiltrated into various branches of algebra, as well as into topology and relational structures. This volume is the result of a conference attended by mathematicians from all five continents and thus represents the current state of research in the area.

  • Computer Electronics

    Made Simple Computerbooks
    • 1st Edition
    • J. F. B. Bourdillon
    • English
    Computer Electronics: Made Simple Computerbooks presents the basics of computer electronics and explains how a microprocessor works. Various types of PROMs, static RAMs, dynamic RAMs, floppy disks, and hard disks are considered, along with microprocessor support devices made by Intel, Motorola and Zilog. Bit slice logic and some AMD bit slice products are also described. Comprised of 14 chapters, this book begins with an introduction to the fundamentals of hardware design, followed by a discussion on the basic building blocks of hardware (NAND, NOR, AND, OR, NOT, XOR); tools and equipment that are required by a hardware engineer; and sequential logic. Subsequent chapters focus on analog components such as transistors, resistors, capacitors, diodes, crystals, and power supplies; data sheets and data books; timing diagrams; arithmetic using integrated circuits, with emphasis on full adders, arithmetic logic units, and arithmetic processing units. The final chapter describes how a project operates, how the computer-aided design process works, and how printed circuit boards are manufactured. This monograph will be of interest to students, engineers, and other practitioners in computer electronics.

  • Multivariate Analysis: Future Directions 2

    • 1st Edition
    • Volume 5
    • C.M. Cuadras + 1 more
    • English
    The contributions in this volume, made by distinguished statisticians in several frontier areas of research in multivariate analysis, cover a broad field and indicate future directions of research. The topics covered include discriminant analysis, multidimensional scaling, categorical data analysis, correspondence analysis and biplots, association analysis, latent variable models, bootstrap distributions, differential geometry applications and others. Most of the papers propose generalizations or new applications of multivariate analysis.This volume will be of great interest to statisticians, probabilists, data analysts and scientists working in the disciplines such as biology, biometry, ecology, medicine, econometry, psychometry and marketing. It will be a valuable guide to professors, researchers and graduate students seeking new and promising lines of statistical research.

  • Computer Programming Languages in Practice

    Made Simple Computerbooks
    • 1st Edition
    • C. A. Hofeditz
    • English
    Computer Programming Languages in Practice provides an overview of various computer programming languages. The book begins with the fundamentals: what programs are; how they are planned and organized; what elements of the computer the programmer controls; flowcharting; and how computer data is organized. It then discusses material common to all languages, including the entry program, the compiler, the run-time system, syntax diagrams, and coding forms. The largest portion of this book is devoted to two very popular languages—BASIC and COBOL. It provides a brief history of the language's development and use; a description of how the programming system is organized; its major components, divisions of instructions, and a description of its instruction set (instruction-by-inst... how a program is written, including a sample program; and a self-test, including exercises in which programming statements must be written. The final chapter discusses those languages which the reader is less likely to use but should know about. Included are descriptions of FORTRAN and RPG II.

  • Applied Mathematics

    Made Simple
    • 1st Edition
    • Patrick Murphy
    • English
    Applied Mathematics: Made Simple provides an elementary study of the three main branches of classical applied mathematics: statics, hydrostatics, and dynamics. The book begins with discussion of the concepts of mechanics, parallel forces and rigid bodies, kinematics, motion with uniform acceleration in a straight line, and Newton's law of motion. Separate chapters cover vector algebra and coplanar motion, relative motion, projectiles, friction, and rigid bodies in equilibrium under the action of coplanar forces. The final chapters deal with machines and hydrostatics. The standard and content of the book covers C.S.E. and 'O' level G.C.E. examinations in Applied Mathematics and Mechanics as well as the relevant parts of the syllabuses for Physics and General Science courses related to Engineering, Building, and Agriculture. The book is also written for the home study reader who is interested in widening his mathematical appreciation or simply reviving forgotten ideas. The author hopes that the style of presentation will be found sufficiently attractive to recapture those who may at one time have lost interest.

  • Ocean Tides

    Mathematical Models and Numerical Experiments
    • 1st Edition
    • G. I. Marchuk + 1 more
    • English
    Ocean Tides: Mathematical Models and Numerical Experiments discusses the mathematical concepts involved in understanding the behavior of oceanic tides. The book utilizes mathematical models and equations to interpret physical peculiarities of tidal generation. The text first presents the essential information on the theory of tide, and then proceeds to tackling the studies on the equations of tidal dynamics. Next, the book covers the numerical methods for the solution of the equations of tidal dynamics. Chapter 4 deals with the tides in the World Ocean, while Chapter 5 talks about the bottom boundary layer in tidal flows. The last chapter tackles the vertical structure of internal tidal waves. The book will be of great interest to individuals whose profession involves the direct interaction with tides, such as mariners, marine biologists, and oceanographers.

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