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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.

  • Programmes for Animation

    A Handbook for Animation Technicians
    • 1st Edition
    • Brian Salt
    • English
    Programmes for Animation: A Handbook for Animation Technicians is a handbook on animation containing a list of 57 programs for use on a programmable calculator. Each program is preceded by explanations of how the necessary mathematical formulas were derived; each step of the program is also accompanied by a brief explanation. The programs are intended for the Hewlett-Packard HP-97 calculator, and can also be used on the HP-67 pocket calculator. Comprised of 17 chapters, this book begins by giving sufficient information about the functions of the keys of the calculator. The discussion then turns to field widths and zoom counter readings; the field chart and coordinate systems; and lens and table off-sets. Subsequent chapters deal with linear movements and fairings; exponential movements; middle fairings and co-fairings; rotations and circular pans; and simple harmonic motion. Exposures at different field widths are also explained, along with zooms using several pieces of artwork and movements along a curve. The book concludes by describing two-lens aerial image projection. This monograph was written specifically for animation technicians.

  • Linear Network Theory

    • 1st Edition
    • G. I. Atabekov
    • P. K. M'Pherson
    • English
    Linear Network Theory presents the problems of linear network analysis and synthesis. This book discusses the theory of linear electrical circuits, which is important for developing the scientific outlook of specialists in radio and electrical engineering. Organized into 13 chapters, this book begins with an overview of circuit theory that operates with electrical quantities, including voltage, charge, and current. This text then examines sinusoidal function as the predominant form of a periodic process in electrical circuits. Other chapters consider the reduction of a series–parallel network to single equivalent impedance, which is one of the main forms of converting circuit diagrams often used in practice. The final chapter deals with the Laplace transformation or operational calculus, which is a combination of methods of mathematical analysis. This book is intended to be suitable for students in the specialized branches of electrical and radio engineering, post-graduates, and engineers extending their theoretical knowledge.

  • Exploring University Mathematics 2

    Lectures Given at Bedford College, London
    • 1st Edition
    • D. M. Burley + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics 2 presents the mathematical concept that is fundamental to the treatment of numbers. This book discusses the positive integers as the basis of common knowledge. Organized into seven chapters, this book begins with an overview of the analytical proof of the essentially geometrical isoperimetric problem. This text then explains that the simple models can be constructed, which lead to sixth-form mathematics. Other chapters consider the important physical ideas in kinetic theory. This book discusses as well the graphical method for establishing the general properties of the solution of a differential equation and applied it to the familiar equation for the motion of a simple pendulum when the amplitude of the oscillation is not small. The final chapter deals with certain methods in the theory of differential equations that are of considerable importance and interest. This book is a valuable resource for students, teachers, and research workers.

  • Programming — ALGOL

    • 1st Edition
    • D. J. Malcolme-Lawes
    • English
    Programming — ALGOL describes the basics of computer programming using Algol. Commands that could be added to Algol and could increase its scope are described, including multiplication and division and the use of brackets. The idea of labeling or naming a command is also explained, along with a command allowing two alternative results. Most of the important features of Algol syntax are discussed, and examples of compound statements (that is, sets of commands enclosed by a begin ... end command) are given. Comprised of 11 chapters, this book begins with an introduction to the digital computer and how it works using a list of instructions known as a program. The "punched-tape" method of feeding information into a computer is described together with the flexowriter. The next chapter provides an overview of Algol by studying a very simple program and comparing it with the same sequence of instructions written in normal English. The third chapter is about building a program, first by increasing the complexity of the actual computation and then economizing on memory stores. Subsequent chapters focus on how computer programs can be built up of simple commands; labeling or naming a command; facilities in the Algol language which allow the addition of a second alternative command to an if ... then statement; and the use of a flow diagram to translate a problem into Algol. The final chapter examines the method of running a program on a computer. This monograph will be of interest to computer programmers.

  • A Course of Higher Mathematics

    Adiwes International Series in Mathematics, Volume 2
    • 1st Edition
    • V. I. Smirnov
    • A. J. Lohwater
    • English
    A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.

  • Statistics for Experimentalists

    • 1st Edition
    • B. E. Cooper
    • English
    Statistics for Experimentalists aims to provide experimental scientists with a working knowledge of statistical methods and search approaches to the analysis of data. The book first elaborates on probability and continuous probability distributions. Discussions focus on properties of continuous random variables and normal variables, independence of two random variables, central moments of a continuous distribution, prediction from a normal distribution, binomial probabilities, and multiplication of probabilities and independence. The text then examines estimation and tests of significance. Topics include estimators and estimates, expected values, minimum variance linear unbiased estimators, sufficient estimators, methods of maximum likelihood and least squares, and the test of significance method. The manuscript ponders on distribution-free tests, Poisson process and counting problems, correlation and function fitting, balanced incomplete randomized block designs and the analysis of covariance, and experimental design. The publication is a valuable reference for statisticians and researchers interested in the use of statistical methods.

  • Economics and Artificial Intelligence

    Proceedings of the IFAC/IFORS/IFIP/IASC/AFCET Conference, Aix-en-Provence, France, 2—4 September 1986
    • 1st Edition
    • Jean-Louis Roos
    • English
    Economics and Artificial Intelligence documents the proceedings of the IFAC/IFORS/IFIP/IASC... Conference held in Aix-en-Provence, France on September 2-4, 1986. This book discusses the design of intelligent dialogue in D.S.S. qualitative modeling of economic studies; basic propositions for intelligent systems design methods; and expert systems for confirmatory data analysis. The artificial intelligence for transaction cost economizing; knowledge-based evaluation of strategic investments; and reasoning system for the guidance of technological transfer are also elaborated. This text likewise covers the A.I. impacts on the process of the division of labor; using automated techniques to generate expert systems for R&D project monitoring; and intelligent support to decision making process. This compilation is a good reference for students and researchers conducting work on the nature of economics and artificial intelligence.

  • The Origins of Infinitesimal Calculus

    • 1st Edition
    • Margaret E. Baron
    • English
    The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.

  • Exploring University Mathematics

    Lectures Given at Bedford College, London
    • 1st Edition
    • P. Chadwick + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics 1 provides information pertinent to pure and applied mathematics. This book discusses a variety of topics, including sets and functions, relativity, integers, waves, isometric problems, and digital computers. Organized into seven chapters, this book begins with an overview of the axiomatic way of introducing natural numbers that is completely satisfactory for mathematical purposes. This text then examines the special theory of relativity, which is a certain kind of geometry of four dimensions that connects three spatial coordinates x, y, z, and a time coordinate t. Other chapters consider the impact that the study of wave phenomena has had on the historical development of mathematics. This book discusses as well the development of the electronic digital computers. The final chapter deals with solving the isoperimetric problem. This book is intended to be suitable for students about to embark upon a degree course of which mathematics is a major part.

  • The Application of Mathematical Statistics to Chemical Analysis

    • 1st Edition
    • V. V. Nalimov
    • M. Williams
    • English
    The Application of Mathematical Statistics to Chemical Analysis presents the methods of mathematical statistics as applied to problems connected with chemical analysis. This book is divided into nine chapters that particularly consider the principal theorems of mathematical statistics that are explained with examples taken from researchers associated with chemical analysis in laboratory work. This text deals first with the problems of mathematical statistics as a means to summarize information in chemical analysis. The next chapters examine the classification of errors, random variables and their characteristics, and the normal distribution in mathematical statistics. These topics are followed by surveys of the application of Poisson's and binomial distribution in radiochemical analysis; the estimation of chemical analytic results; and the principles and application of determination of experimental variance. The last chapters explore the determination of statistical parameters of linear relations and some working methods associated with the statistical design of an experiment. This book will be of great value to analytical chemists and mathematical statisticians.

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