Introduction to Numerical Analysis and Scientific Computing

Nabil Nassif, Dolly Khuwayri Fayyad

August 5, 2013 by Chapman and Hall/CRC
Textbook - 329 Pages - 26 B/W Illustrations
ISBN 9781466589483 - CAT# K20409

USD$105.00

Add to Wish List
FREE Standard Shipping!

Features

  • Helps students understand floating-point number representations, particularly those pertaining to IEEE simple and double-precision standards used in computer environments such as MATLAB
  • Explains how computer arithmetic is a source for generating round-off errors
  • Presents iterative methods for obtaining accurate approximations to roots of nonlinear equations
  • Covers numerical linear algebra concepts, the Lagrange interpolation theorem, and formulae for numerical differentiation and integration
  • Illustrates the solution of ODEs using Runge-Kutta methods
  • Expresses each numerical method using either pseudo-code or a detailed MATLAB program
  • Includes a large number of exercises and several computer projects

Solutions manual and figure slides available upon qualifying course adoption

Summary

Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple and double-precision standards as used in scientific computer environments such as MATLAB® version 7.

Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors discuss computer arithmetic as a source for generating round-off errors and how to avoid the use of algebraic expression that may lead to loss of significant figures. They cover nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®.

Each chapter ends with a large number of exercises, with answers to odd-numbered exercises provided at the end of the book. Throughout the seven chapters, several computer projects are proposed. These test the students' understanding of both the mathematics of numerical methods and the art of computer programming.