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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.

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Ordinary Differential Equations

    Adiwes International Series in Mathematics
    • 1st Edition
    • L. S. Pontryagin
    • A. J. Lohwater
    • English
    Ordinary Differential Equations presents the study of the system of ordinary differential equations and its applications to engineering. The book is designed to serve as a first course in differential equations. Importance is given to the linear equation with constant coefficients; stability theory; use of matrices and linear algebra; and the introduction to the Lyapunov theory. Engineering problems such as the Watt regulator for a steam engine and the vacuum-tube circuit are also presented. Engineers, mathematicians, and engineering students 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.
  • 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.
  • Contributions to Universal Algebra

    • 1st Edition
    • B. Csákány + 1 more
    • English
    Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.