Introduction to Numerical Analysis and Scientific Computing

✍ Scribed by Fayyad, Dolly Khuwayri; Nassif, Nabil

• Publisher: CRC Press
• Year: 2013
• Tongue: English
• Leaves: 328
• Category: Library

✦ Synopsis

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 gen. Read more...

Abstract: 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 gen

✦ Table of Contents

Content: Front Cover
Contents
Preface
About the Authors
List of Figures
List of Tables
Chapter 1: Computer Number Systems and Floating Point Arithmetic
Chapter 2: Finding Roots of Real Single-Valued Functions
Chapter 3: Solving Systems of Linear Equationsby Gaussian Elimination
Chapter 4: Polynomial Interpolation and Splines Fitting
Chapter 5: Numerical Differentiation and Integration
Chapter 6: Advanced Numerical Integration
Chapter 7: Numerical Solutions of Ordinary Differential Equations (ODEs)
Answers to Odd-Numbered Exercises
Bibliography
Back Cover

✦ Subjects

Математика;Вычислительная математика;