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C++ Toolkit for Engineers and Scientists

  • Book
  • © 1999

Overview

Authors:
  1. James T. Smith

    1. Department of Mathematics, San Francisco State University, San Francisco, USA

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • James T. Smith
    Pages 1-19

  3. Software Organization

    • James T. Smith
    Pages 21-53

  4. Computing with Scalars

    • James T. Smith
    Pages 55-121

  5. Solving Scalar Equations

    • James T. Smith
    Pages 123-149

  6. Vector Classes

    • James T. Smith
    Pages 151-188

  7. Polynomial Classes

    • James T. Smith
    Pages 189-227

  8. Matrix Classes

    • James T. Smith
    Pages 229-255

  9. Matrix Computations

    • James T. Smith
    Pages 257-302

  10. Iterative Solution of Systems of Equations

    • James T. Smith
    Pages 303-346

  11. Back Matter

    Pages 347-392
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Keywords

About this book

This book describes the design, construction, and use of a numerical analysis software toolkit. It's written in C+ +, Version 2. 0, and makes essential use of that language's Object-Oriented Programming (OOP) features. Its development environment is the Borland International, Inc. , Borland C++ compiler, Version 5. 02, for IBM-compatible personal computers. However, the book describes few features specific to that product. The toolkit and its description and background discussions cover the most fundamental aspects of numerical analysis. At the core of most scientific or engineering application programs are some of the concepts and techniques presented here. The most basic include details of computation with floating-point real and complex numbers; mathematical functions in the C+ + Library; and a general OOP framework for vector, polynomial, and matrix algebra. On this foundation routines are constructed for solving nonlinear equations, linear and nonlinear systems of equations, and eigenvalue problems. The book is heavily weighted toward software development. What's new here is the emphasis on software tools and on OOP techniques for handling vectors, polynomials, and matrices. Rather than describing programs implementing specific numerical techniques to solve specific applica­ tion problems, the book constructs reusable tools with which you can implement many techniques for solving broad classes of problems. Examples are included to demonstrate their use. The tools are organized into layers. The deepest is formed by the C+ + library functions for computing with real and complex numbers.

A list of errata can be found on the author’s personal webpage.

Authors and Affiliations

  • Department of Mathematics, San Francisco State University, San Francisco, USA

    James T. Smith

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