Mathematical Objects in C++: Computational Tools in A Unified Object-Oriented Approach

by Yair Shapira

Overview

Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. Object-oriented implementation of three-dimensional meshes facilitates understanding of their mathematical nature. Requiring no prerequisites, the text covers discrete mathematics, data structures, and computational physics, including high-order discretization of nonlinear equations. Exercises and solutions make the book suitable for classroom use and a supporting website supplies downloadable code.

Product Details

ISBN-13:	9781439811474
Publisher:	Taylor & Francis
Publication date:	06/19/2009
Series:	Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Pages:	636
Product dimensions:	6.00(w) x 9.30(h) x 1.50(d)

About the Author

Yair Shapira is in the computer science department at Technion. His research interests include multigrid, preconditioning, and numerical methods.

Table of Contents

Numbers. Geometrical Objects. Composite Mathematical Objects. Introduction to C. Introduction to C++. Implementation of Computational Objects. Three-Dimensional Applications. Appendix. References. Index.

Editorial Reviews

"This is an exciting book on mathematics on one hand and computer programming on the other, and the reader can concentrate on one of the topics or both. The mathematics part focuses on teaching mathematics through constructive algorithms, ready for computer implementation. I believe this is the future view of these classical mathematical subjects. Many will find this book a major refresher of the mathematics literature. The programming part of the book serves as a very good introduction to C and C++, using meaningful and motivating examples from mathematics. The book is full of useful exercises of various difficulty. This fact makes the book very suitable as a textbook for a mathematics or computer science course."
—Hans Petter Langtangen, Simula Research Laboratory and University of Oslo, Norway

From the Publisher