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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.

  • Computer Security

    • 2nd Edition
    • John M. Carroll
    • English
    Computer Security, Second Edition aims to present different ideas and practices that promote the prevention of attacks on computer systems and data being compromised. The book is divided into five parts. Part I covers the important elements of computer security and case histories of computer-related crimes. Part II discusses the organizations and models for the protection of information. Part III talks about the physical security involved and access control involved in data protection. Part IV deals with the different measures employed to promote security in the communication between computers. Part V explains systems security, its access control, and integrity. The text is recommended for people involved in the promotion of computer security, especially programmers and IT practitioners, in institutions where computer-processed information is crucial and must be protected.
  • Computers and Informatics in Developing Countries

    • 1st Edition
    • Mohan Munasinghe
    • English
    Computers and Informatics in Developing Countries is a collection of papers documenting the conference of the Expert Group on Computers and Informatics for Development which investigates how the international scientific and development community can assist developing countries in using computer and informatics technology to promote progress and growth. The papers address the need for developing countries to formulate and apply computer and informatics policies for development, as well as the role of an International Centre for Computers and Informatics (ICCI) should play in the development process. The ICCI should be based on the network principle that links other regional and national computer centers. The advantages of the network principle are lower startup costs, avoidance of setting up a large organization, and localized services of needs. An international organization similar to ICCI can accelerate Third World developmental efforts following the identification of needs of developing countries as regards computer and informatics, setting of clear objectives of ICCI, and meeting with potential donors. The collection is suitable for heads of both non-government agencies and government departments involved in international aid, education, or development, and also to administrators of educational institutions and philanthropic organizations.
  • Fundamentals of Statistics

    • 1st Edition
    • H. Mulholland + 1 more
    • English
    Fundamentals of Statistics covers topics on the introduction, fundamentals, and science of statistics. The book discusses the collection, organization and representation of numerical data; elementary probability; the binomial Poisson distributions; and the measures of central tendency. The text describes measures of dispersion for measuring the spread of a distribution; continuous distributions for measuring on a continuous scale; the properties and use of normal distribution; and tests involving the normal or student's ‘t’ distributions. The use of control charts for sample means; the ranges and fraction defective; the chi-squared distribution; the F distribution; and the bivariate distributions are also considered. The book deals with the idea of mathematical expectation and its relationship with mean, variance, and covariance, as well as weighted averages, death rates, and time series. Students studying for advanced level education or higher national certificates in Mechanical or Electrical Engineering, Mathematics, Chemistry, Biology, or Pharmacy, as well as university students taking such courses will find the book invaluable.
  • Proceedings of the Eighth Power Systems Computation Conference

    Helsinki, 19-24 August 1984
    • 1st Edition
    • Committee 8th Pwr Sys Comp Conf
    • English
  • Mathematical Aspects of Scheduling and Applications

    Modern Applied Mathematics and Computer Science
    • 1st Edition
    • R. Bellman + 2 more
    • E. Y. Rodin
    • English
    Mathematical Aspects of Scheduling and Applications addresses the perennial problem of optimal utilization of finite resources in the accomplishment of an assortment of tasks or objectives. The book provides ways to uncover the core of these problems, presents them in mathematical terms, and devises mathematical solutions for them. The book consists of 12 chapters. Chapter 1 deals with network problems, the shortest path problem, and applications to control theory. Chapter 2 stresses the role and use of computers based on the decision-making problems outlined in the preceding chapter. Chapter 3 classifies scheduling problems and their solution approaches. Chapters 4 to 6 discuss machine sequencing problems and techniques. Chapter 5 tackles capacity expansion problems and introduces the technique of embedded state space dynamic programming for reducing dimensionality so that larger problems can be solved. Chapter 6 then examines an important class of network problems with non-serial phase structures and exploits dimensionality reduction techniques, such as the pseudo-stage concept, branch compression, and optimal order elimination methods to solve large-scale, nonlinear network scheduling problems. Chapters 7 to 11 consider the flow-shop scheduling problem under different objectives and constraints. Chapter 12 discusses the job-shop-scheduling problem. The book will be useful to economists, planners, and graduate students in the fields of mathematics, operations research, management science, computer science, and engineering.
  • 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.
  • Computers and Informatics in Developing Countries

    The First Generation
    • 1st Edition
    • D.B. Arnold + 1 more
    • English
    ISO Standards for Computer Graphics: The First Generation discusses the expected standards in the quality of computer graphics; the aspects and examples of said standards; and the materials from the standards being described. The book is divided into six parts. Part 1 covers topics such as the applicability of first-generation ISO standards; software architecture; application program interface, device interface, metafile, archive, and language binding standards; and the ISO and its related bodies. Part 2 deals with topics such as output primitives and attributes, coordinate systems, and storage mechanisms. The third part talks about language bindings, encodings, and formal specifications. The fourth part tackles validation and testing; conformance testing of graphic standards; and the registration of graphical items. The book also discusses the status and future direction of ISO standards for computer graphics; it also presents in the last part the bibliography of the included topics, glossary on related bodies, and the formal specification of a part of GKS. The text is recommended for computer engineers, IT experts, and graphic designers who would like to know the ISO standards for computer graphics and its implications in their practice.
  • Parametric Statistical Inference

    Basic Theory and Modern Approaches
    • 1st Edition
    • Shelemyahu Zacks
    • V. Lakshmikantham + 1 more
    • English
    Parametric Statistical Inference: Basic Theory and Modern Approaches presents the developments and modern trends in statistical inference to students who do not have advanced mathematical and statistical preparation. The topics discussed in the book are basic and common to many fields of statistical inference and thus serve as a jumping board for in-depth study. The book is organized into eight chapters. Chapter 1 provides an overview of how the theory of statistical inference is presented in subsequent chapters. Chapter 2 briefly discusses statistical distributions and their properties. Chapter 3 is devoted to the problem of sufficient statistics and the information in samples, and Chapter 4 presents some basic results from the theory of testing statistical hypothesis. In Chapter 5, the classical theory of estimation is developed. Chapter 6 discusses the efficiency of estimators and some large sample properties, while Chapter 7 studies the topics on confidence intervals. Finally, Chapter 8 is about decision theoretic and Bayesian approach in testing and estimation. Senior undergraduate and graduate students in statistics and mathematics, and those who have taken an introductory course in probability will highly benefit from this book.
  • Computer Methods for Architects

    • 1st Edition
    • R A Reynolds
    • English
    Computer Methods for Architects deals with the use of computers in the architecture profession. The text explores where and how computers can and cannot help. The book begins with an explanation of how the majority of the architects around the world were once reluctant to use a computer. It then discusses how some architects improved and advanced the use of computers in the profession. The next part of the book discusses the advantages that a computer can offer an architect, as well as some disadvantages. The next chapter talks about how a computer can handle the files of an entire office. Discussions on the computer's database, proper selection of programs, and simulation techniques are also included in the book. The text finally talks about what the future may hold for computers and architects. This book caters to architects, as it talks about what a person in the field could encounter while using computers.
  • The Computer Graphics Metafile

    Butterworth Series in Computer Graphics Standards
    • 1st Edition
    • L.R. Henderson + 1 more
    • B. Shepherd + 1 more
    • English
    The Computer Graphics Metafile deals with the Computer Graphics Metafile (CGM) standard and covers topics ranging from the structure and contents of a metafile to CGM functionality, metafile elements, and real-world applications of CGM. Binary Encoding, Character Encoding, application profiles, and implementations are also discussed. This book is comprised of 18 chapters divided into five sections and begins with an overview of the CGM standard and how it can meet some of the requirements for storage of graphical data within a graphics system or application environment. The reader is then introduced to the practice of using the CGM and the nature of the CGM, its aims, and what is defined in the standard. The following chapters focus on the players, the rules, and the game; the abstract functionality of the CGM; descriptor elements for metafiles and pictures; coordinates, primitives, and attributes; and encodings and implementation considerations. Clear Text Encoding, Binary Encoding, Character Encoding, and application profiles are also explored. The final chapter looks at the use of GKS, GKS-3D, and PHIGS to generate and interpret CGMs. This monograph will be a valuable resource for computer graphics students and professionals as well as software engineers and computer programmers.