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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.

  • Digital Computer Structure and Design

    • 2nd Edition
    • R. Townsend
    • English
    Digital Computer Structure and Design, Second Edition discusses switching theory, counters, sequential circuits, number representation, and arithmetic functions The book also describes computer memories, the processor, data flow system of the processor, the processor control system, and the input-output system. Switching theory, which is purely a mathematical concept, centers on the properties of interconnected networks of "gates." The theory deals with binary functions of 1 and 0 which can change instantaneously from one to the other without intermediate values. The binary number system is used in computer arithmetic and other operations due to its simplicity that can be easily adopted in device parameters. These operations involve only two levels: the "on" or "off" positions, which also offer maximum immunity to noise or circuit interference. The binary system is a very efficient way to represent numbers or to store data. When the computer uses this system, the clock cycle of the processor determines or divides the cycles for each sub-operation into steps. A master timing counter defines each of these steps, and synchronizes them avoid data loss or mix-ups. After the sub-operation has been completed, the monitor will display the result. Programmers, computer engineers, computer instructors, and students of computer science will find the book highly useful.
  • The Mathematical Basis of the UNIURF CAD System

    • 1st Edition
    • Pierre Bézier
    • English
    The Mathematical Basis of the UNISURF CAD System deals with the mathematics involved in the use of the UNISURF CAD System. The book is divided into five chapters. Chapters 1 and 2 deal with the basic principles, expression of a point, and hodographs of curves and patches. Chapters 3 and 4 deal with the volume and parametric transformations of curves and patches, and Chapter 5 covers the general and special cases of blending. The text is recommended for mathematicians and designers who would like to know more about the mathematical aspect of the UNISURF CAD system.
  • 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.
  • Computational Methods in Nonlinear Structural and Solid Mechanics

    Papers Presented at the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics
    • 1st Edition
    • Ahmed K. Noor + 1 more
    • English
    Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
  • Distributed Computer Control Systems 1982

    Proceedings of the Fourth IFAC Workshop, Tallinn, U.S.S.R., 24-26 May 1982
    • 1st Edition
    • R. W. Gellie + 1 more
    • English
    Distributed Computer Control Systems 1982 focuses on the emerging trends in different areas on the use of computers. The text gives emphasis on computer programming, multiprocessor computer systems, and control systems that are considered important in the use of computers. The book presents various studies on how parallelization can affect the function of multiprocessor computer systems; the initiative being carried out by standardization groups involved in local area communication in improving distributed computer control systems; and how the sensor-base-manageme... aids in distributed computer systems architecture. The text also presents studies on the analysis and development of protocols among distributed computer networks; how a distributed computer control system can efficiently work in a plant setting; and the problems associated with the design and implementation of this system and ways to solve them. The monograph is a great find for those who are involved and interested in computer engineering, computer programming, and in the design, implementation, and control of computer systems.
  • 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.
  • Introduction to Dynamic Programming

    International Series in Modern Applied Mathematics and Computer Science, Volume 1
    • 1st Edition
    • Leon Cooper + 1 more
    • E. Y. Rodin
    • English
    Introduction to Dynamic Programming provides information pertinent to the fundamental aspects of dynamic programming. This book considers problems that can be quantitatively formulated and deals with mathematical models of situations or phenomena that exists in the real world. Organized into 10 chapters, this book begins with an overview of the fundamental components of any mathematical optimization model. This text then presents the details of the application of dynamic programming to variational problems. Other chapters consider the application of dynamic programming to inventory theory, Markov processes, chemical engineering, optimal control theory, calculus of variations, and economics. This book discusses as well the approach to problem solving that is typical of dynamic programming. The final chapter deals with a number of actual applications of dynamic programming to practical problems. This book is a valuable resource for .graduate level students of mathematics, economics, statistics, business, operations research, industrial engineering, or other engineering fields.
  • 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.
  • 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.
  • Proceedings of the Eighth Power Systems Computation Conference

    Helsinki, 19-24 August 1984
    • 1st Edition
    • Committee 8th Pwr Sys Comp Conf
    • English