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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.

  • 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 introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.

  • A Collection of Problems in Analytical Geometry

    Analytical Geometry in the Plane
    • 1st Edition
    • D. V. Kletenik
    • W. J. Langford + 1 more
    • English
    A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems. The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics. This collection of problems can be used by teachers of analytical geometry and their students.

  • Mathematical Analysis

    A Special Course
    • 1st Edition
    • G. Ye. Shilov
    • I.N. Sneddon + 2 more
    • English
    Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.

  • Programming in GW-BASIC

    • 1st Edition
    • P. K. McBride
    • English
    Programming in GW-BASIC provides a reference guide on GW-Basic along with a range of extra commands and functions. The book discusses starting a program, program planning and the essentials of GW-Basic, including the most commonly used commands; how data is stored in memory; how a program fits together; and the use of the keyboard and screen in editing. The text also describes graphics and color and the string-handling functions. The principles and concepts of program structures, such as the Paintbox program and chaining, and the use of the Turtle graphics, such as Logo and DRAW, are also considered. The book covers two of the key techniques for handling data in quantity (sorting into order and searching for specific items), statistical analysis, and display program. The text then tackles PEEK and POKE, which examine sections of memory and serve as alternative to PRINT for creating screen displays, and advanced graphics, which enables one to analyze the screen, develop first a double-size print utility, then a sprite designer and some movement routines. The selection is useful to computer programmers and students taking computer courses.

  • Newnes Telecommunications Pocket Book

    • 1st Edition
    • E. A. Edis + 1 more
    • English
    Newnes Telecommunications Pocket Book discusses the equipment, systems, and techniques used in the telecommunications network. The book is comprised of 25 chapters that are organized into four parts. The first part covers components of particular relevance to telecommunications. The second part deals with commonly used circuit assemblies such as filters, attenuators, modems, and digitizers. The third part discusses organization and standards. The last part talks about telecommunications network practice, including analogue and digital, fixed and mobile systems. This text will be of great use to professionals in the telecommunications industry.

  • Group Representations

    • 1st Edition
    • Volume 2
    • Gregory Karpilovsky
    • English
    This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.

  • Structural Analysis Systems

    Software — Hardware Capability — Compatibility — Applications
    • 1st Edition
    • A. Niku-Lari
    • English
    Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 2 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 17 chapters and begins with a description of AFAG, a dual finite element analysis program based on the flexibility method. The discussion then turns to the AQUADYN system, designed primarily to reduce the hydrodynamics problem to a linear integral equation for large floating or immersed structures. The following chapters focus on other structural analysis computer programs such as BOSOR4 and BOSOR5, INFESA, MEF/MOSAIC, RCAFAG, and STRUGEN. Some general purpose and special purpose finite element programs used for stress analysis of composite materials are also considered. This book will be a useful resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

  • Real Time Programming 1981

    Proceedings of the IFAC/IFIP Workshop, Kyoto, Japan, 31 August - 2 September 1981
    • 1st Edition
    • T. Hasegawa
    • English
    Annual Review in Automatic Programming, Volume 11: Real Time Programming 1981 contains the proceedings of the IFAC/IFIP Workshop held in Kyoto, Japan on August 31 - September 2, 1981. Organized into 18 chapters, this book begins with a discussion on advances and trends in distributed control systems. Subsequent chapters explore the application and technology of industrial computers in Japan; on-line system changeover using a virtual machine system; a debugging tool for real time software; and program fall-back method in real time systems. Some other chapters address file design of small real time computer system; development of a distributed operating system kernel for real time applications; and evaluation of pipelined common processor in distributed processing system.

  • Interconnection Networks

    • 1st Edition
    • Volume 5
    • J.-C. Bermond
    • English
    Most of the articles in this book deal with static or point-to-pointInterc... Networks. In particular, new constructions are proposed basedon different tools from discrete mathematics. Many new records have beenestablished in the table of the maximum number of vertices of graphs withmaximum degree &Dgr; and diameter D. Properties of thesenetworks (and of more classical ones) are analyzed in many of the otherpapers. About 40% of the articles deal with fault tolerance orvulnerability properties using either combinatorial tools or probabilisticones.

  • Servicing Personal Computers

    • 2nd Edition
    • Michael Tooley
    • English
    Servicing Personal Computers, Second Edition focuses on the techniques and processes involved in the repair of personal computers. The book first discusses microcomputer systems. Microprocessors, Z80 support devices, random access memory, parallel input and output, and memory mapped input and output are then explained. The text looks at test equipment, printers and monitors, and tapes and disk drives. The publication also discusses fault diagnosis and considers initial check procedures, testing the CPU board, and miscellaneous faults. The book then underscores the servicing of IBM PC and compatibles. The 8086 and 8088 microprocessors, 8086 registers, 80286 microprocessor, support devices, and useful memory locations are described. The text also presents commonly used symbols, TTL families and device numbering, common TTL pin-outs, RAM data, and equivalent logic functions. The selection is a vital source of information for those interested in personal computer repair.

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