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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.

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Finite and Infinite Sets

    Colloquia Mathematica Societatis János Bolyai, 37.
    • 1st Edition
    • A. Hajnal + 2 more
    • English
    Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and self-dual E-chains, transversality of E-chains and E-squares, and binary E-chains and E-squares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperner-type conditions, and minimal decomposition of all graphs with equinumerous vertices and edges into mutually isomorphic subgraphs. Topics include general digraph extremal problem, matrix graphs and quadratic forms, augmentation of matrices, set of attained densities, proof of the continuity theorem, and inverse extremal multigraph problems. The text examines circular flows in graphs, two-colorings of simple arrangements, monochromatic paths in infinite colored graphs, and graphs associated with an integral domain and their applications. The selection is a dependable reference for researchers interested in finite and infinite sets.