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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.

  • Object-Oriented Graphics Programming in C++

    • 1st Edition
    • Roger T. Stevens
    • English
    Object-Oriented Graphics Programming in C++ provides programmers with the information needed to produce realistic pictures on a PC monitor screen. The book is comprised of 20 chapters that discuss the aspects of graphics programming in C++. The book starts with a short introduction discussing the purpose of the book. It also includes the basic concepts of programming in C++ and the basic hardware requirement. Subsequent chapters cover related topics in C++ programming such as the various display modes; displaying TGA files, and the vector class. The text also tackles subjects on the processing of objects; how the ray tracing process works; how to put the program together and compile and run it; and animation. Computer programmers will find the book very useful.

  • FORTRAN

    • 1st Edition
    • Samuel L. Marateck
    • English
    FORTRAN is written for students who have no prior knowledge of computers or programming. The book aims to teach students how to program using the FORTRAN language. The publication first elaborates on an introduction to computers and programming, introduction to FORTRAN, and calculations and the READ statement. Discussions focus on flow charts, rounding numbers, strings, executing the program, the WRITE and FORMAT statements, performing an addition, input and output devices, and algorithms. The text then takes a look at functions and the IF statement and the DO Loop, the IF-THEN-ELSE and the WHILE loop, including applications of the DO loop, the LOGICAL declaration statement, library functions, other applications of the IF statement, and writing REAL constants in exponential form. The manuscript ponders on subscripted variables, the DATA statement, and the implied DO loop, doubly subscripted variables and matrix multiplication, input/output, and functions, subprograms, and subroutines. Topics include statement functions, subprograms calling other subprograms, reading using X format, control characters, reading using F format, INTEGER subscripted variables, and matrix multiplication. The publication is a dependable source of data for computer programmers and students interested in the FORTRAN language.

  • Test Bank to Accompany Computers Data and Processing

    • 1st Edition
    • Harvey M. Deitel + 1 more
    • English
    Test Bank to Accompany Computers and Data Processing provides a variety of questions from which instructors can easily custom tailor exams appropriate for their particular courses. This book contains over 4000 short-answer questions that span the full range of topics for introductory computing course. This book is organized into five parts encompassing 19 chapters. This text provides a very large number of questions so that instructors can produce different exam testing essentially the same topics in succeeding semesters. Three types of questions are included in this book, including multiple choices, true/false, and fill-in-the-blanks. The answers are provided side-by-side with the questions so that instructors can easily locate questions that are unambiguous and appropriate in the context of their courses.This book covers a variety of topics, including evolution of computers, computer processor, input, output, software, programming languages, and data communications. This book is a valuable resource for students and instructors in introductory computing course.

  • Elementary Differential Equations with Linear Algebra

    • 3rd Edition
    • Albert L. Rabenstein
    • English
    Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.

  • Geometric Topology

    • 1st Edition
    • James C. Cantrell
    • English
    Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.

  • High Performance Computing Demystified

    • 1st Edition
    • David Loshin
    • English
    High Performance Computing Demystified provides an overview of high performance resources and their applications across many disciplines. This book is organized into five parts encompassing 16 chapters that cover the principles, mode of operation, and practical aspects of supercomputers. The first and second parts provide a brief history of high performance computing and describe the “basic” parts needed to build high performance computers, including high performance microprocessors and network topologies. The third part examines the features of multiprocessor architectures of high performance, such as the large number crunchers, massively parallel processing machines, and networks of workstations. The fourth part deals with the software paradigms for high performance, while the fifth part looks into the high performance computing resources that are available to the public, with some guide to accessing those resources. This book is intended primarily for engineers and business managers who have a basic understanding of computers and would like to learn about high performance computing.

  • Instructor's Manual to Accompany CALCULUS WITH ANALYTIC GEOMETRY

    • 1st Edition
    • Sam Stuart
    • English
    Instructor's Manual to Accompany Calculus with Analytic Geometry is an instructor's manual on calculus with analytic geometry. It contains answers to even-numbered exercises and solutions of selected even- and odd-numbered exercises. Comments on selected exercises are included. Comprised of 18 chapters, this book first presents answers and solutions to exercises relating to functions and graphs. The next chapter is about derivatives and covers topics ranging from the slope problem to limits, sums and products, and quotients and square roots, along with limits and continuity. Subsequent chapters deal with applications of differentiation; exponential and trigonometric functions; techniques and applications of integration; inverse functions; and plane analytic geometry. The rest of the book focuses on approximation and convergence; power series; space geometry and vectors; vector functions and curves; higher partials and their applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

  • Handbook of Networking & Connectivity

    • 1st Edition
    • Gary R. McClain
    • English
    Handbook of Networking & Connectivity focuses on connectivity standards in use, including hardware and software options. The book serves as a guide for solving specific problems that arise in designing and maintaining organizational networks. The selection first tackles open systems interconnection, guide to digital communications, and implementing TCP/IP in an SNA environment. Discussions focus on elimination of the SNA backbone, routing SNA over internets, connectionless versus connection-oriented networks, internet concepts, application program interfaces, basic principles of layering, protocols and services, application layer, and conformance testing. The book then takes a look at integrated services digital network, an overview of the synchronous optical network, and X.25 and worldwide networking. The publication ponders on Metropolitan Area Networks (MAN), an overview of the switched multimegabit data service, and Ethernet/802.3 and Token Ring/802.5. Topics include Ethernet versus token ring, Ethernet/802.3, customer network management, MAN conception and technology, and SMDS specifications and sources and interface protocol. The selection is a vital source of data for systems professionals and researchers interested in networking and connectivity.

  • Computer-Aided Processes in Instruction and Research

    • 1st Edition
    • George C. Beakley + 1 more
    • English
    Computer-Aided Processes in Instruction and Research describes the course content, computer performance software developed, and the manner that they are used by each student during the design process. This book describes the database that is developed to further aid students who use the digital computer. Organized into 24 chapters, this book begins with an overview of the design of an aerospace vehicle. This text then explains the fundamentals of microcomputers and the use of computer-aided data acquisition in a mechanical measurements course. Other chapters provide a brief explanation for the heavy use of graphics, which is applied when comparing graphical input to numerical input. This book presents as well a summary of work on a project that combines computer-aided instruction (CAI) and artificial intelligence (AI). The final chapter deals with the establishment of a joint venture between universities and industry whereby the university utilizes equipment provided by industry to solve some of the existing problems. This book is a valuable resource for engineering students and practicing engineers.

  • Mathematical Algorithms for Linear Regression

    • 1st Edition
    • Helmuth Späth
    • Werner Rheinboldt
    • English
    Mathematical Algorithms for Linear Regression discusses numerous fitting principles related to discrete linear approximations, corresponding numerical methods, and FORTRAN 77 subroutines. The book explains linear Lp regression, method of the lease squares, the Gaussian elimination method, the modified Gram-Schmidt method, the method of least absolute deviations, and the method of least maximum absolute deviation. The investigator can determine which observations can be classified as outliers (those with large errors) and which are not by using the fitting principle. The text describes the elimination of outliers and the selection of variables if too many or all of them are given by values. The clusterwise linear regression accounts if only a few of the relevant variables have been collected or are collectible, assuming that their number is small in relation to the number of observations. The book also examines linear Lp regression with nonnegative parameters, the Kuhn-Tucker conditions, the Householder transformations, and the branch-and-bound method. The text points out the method of least squares is mainly used for models with nonlinear parameters or for orthogonal distances. The book can serve and benefit mathematicians, students, and professor of calculus, statistics, or advanced mathematics.

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