Synopses & Reviews
This concise guide covers the fundamental aspects of the numerical analysis, basing upon it the construction of its routines for solving nonlinear equations, linear and nonlinear systems of equations, and eigenvalue problems. Focusing on software development, this book emphasizes software tools, OOP techniques for handling vectors, polynomials, and matrices. Using actual examples to demonstrate reusable tools, the book enables readers to solve broad classes of software development and programming challenges. It adopts a balanced approach between OOP techniques and quick and dirty number crunching, and emphasizes the use of OOP features in implementing vector, polynomial and matrix algebra. As a practical reference, it will help developers and consultants setting up applications programs for electrical, electronic engineering and physical sciences who need to develop clean, efficient C++ programs in minimal time.
Synopsis
This reference covers the fundamental aspects of numerical analysis with a balanced approach between object-oriented programming and quick and dirty number crunching. It will greatly benefit applications developers, engineers, and scientists who need to develop clean, efficient C++ programs in minimal time. Using actual examples to demonstrate reusable tools, it enables readers to solve a broad range of software development and programming challenges. The disk contains source code, object code, and several demonstration programs.
Synopsis
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."
Table of Contents
Introduction.- Software Organization.- Computing with Scalars.- Solving Scalar Equations.- Vector Classes.- Polynomial Classes.- Matrix Classes.- Matrix Computations.- Iterative Solution of Systems of Equations.