James T. Smith
C++ Toolkit for Engineers and Scientists
Second edition
Springer, 1999
| This is a revised and updated edition of C++ for
Scientists and Engineers,
Intertext/McGraw-Hill 1991. The first edition of the current book was published in 1997
by International Thomson Computer Press, which went out of business. This new edition
covers exactly the same material as the 1991 book, but uses templates thoroughly in
implementing the new version of the MSP mathematical software toolkit. In addition,
exception-handling is implemented for all routines. The book contained a CD-ROM with
compiled MSP code and source code for demonstration programs. For the MSP
source code ask me to email you the contents of that CD. QA76.73.C153S654 ISBN
0-387-98797-5
For more information, click on:
|
Click here for the publisher's web page for the book.
 |
Text errata
Page 290, last formula, exponent of (-1) should be
k + l not k + 1. (Thanks to David Sklar.)
MSP corrections and
updates
For this book, MSP was implemented with Borland C++ Version 5.0.
Since then, I have adapted MSP to the Microsoft Visual C++ Win32 Console Applications
environment, porting all MSP features except hardware exception handling. The
adapted source code was included on the MSP source code CD.
For details of the adaptation, click here.
I'll post corrections and further updates here as I discover and implement them.
Table of Contents
For more detail, select a chapter:
1 Introduction
1.1 Who needs this book?
1.2 Working with software tools
1.3 This book's structure
1.4 C, C++, and Borland C++
1.5 This book's MSP software tool kit
1.6 References and further topics
2 Software organization
2.1 Software layers
2.2 C++ minor features
2.3 Overloading
2.4 Abstract data types and classes
2.5 Member and friend functions
2.6 Constructors and destructors
2.7 Derived classes
2.8 Exceptions
3 Computing with scalars
3.1 MSP General module
3.2 Integer arithmetic
3.3 Floating point arithmetic
3.4 Math.H Library functions
3.5 Complex.H Library functions
3.6 Testing Library functions
3.7 Handling Math.H exceptions
3.8 Handling floating point exceptions
3.9 MSP Scalar module
3.10 MSP ElemFunc module
4 Solving scalar equations
4.1 Preliminaries
4.2 Bisection method
4.3 Fixpoint iteration
4.4 Newton-Raphson iteration
5 Vector classes
5.1 Vector module infrastructure
5.2 Vector algebra functions
5.3 Vector module demonstration
6 Polynomial classes
6.1 Polynom module infrastructure
6.2 Polynomial algebra functions
6.3 Polynomial roots
7 Matrix classes
7.1 Matrix module infrastructure
7.2 Matrix algebra functions
8 Matrix computations
8.1 Systems of linear equations
8.2 Gauss elimination
8.3 Determinants
8.4 Gauss elimination software
8.5 General rectangular systems
8.6 Matrix inverses
8.7 Testing with Hilbert matrices
8.8 Eigenvalues
9 Iterative solution of
systems of equations
9.1 Fixpoint iteration
9.2 Jacobi and Gauss-Seidel methods for linear systems
9.3 Newton's method for nonlinear systems
Appendix: Selected source code
A.1 Vector and matrix display output functions
A.2 MSP header files
A.3 Example mathematical function with intermediate output
A.4 Accompanying diskette
Bibliography
Back to Publications, James T. Smith home page, Department
home page, University home page
15 November 2022