Numerical Analysis, 1/e

Contents

Preface xvii

About the Authors xix

CHAPTER 1 ERRORS IN NUMERICAL COMPUTATIONS

1.0. Introduction

1.1. Accuracy of Numbers

1.1.1 Significant Figures

1.1.2 Rounding Off of Numbers

1.1.3 A Safe Rule

1.2. Errors and their Analysis

1.2.1 Classification of Errors

Worked Examples

1.3. A General Formula for Error

Worked Examples

1.4. Error in Series Approximation

1.4.1 Error in Some Important Series

Worked Examples

Exercises 1.1

Short Answer Questions

CHAPTER 2 SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS

2.0. Introduction

2.1. Bisection Method or Bolzano Method

Worked Examples

2.2. Method of False Position or ­Regula-Falsi (in Latin)

Worked Examples

2.3. The Secant Method or the Chord Method

Worked Examples

2.4. The Method of Iteration ...