An Introduction to Numerical Analysis for Electrical and Computer Engineers [Hardcover]

• This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems
• Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering
• Includes MATLAB oriented examples

An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Preface xiii

1 Functional Analysis Ideas 1

1.1 Introduction 1

1.2 Some Sets 2

1.3 Some Special Mappings: Metrics, Norms, and Inner Products 4

1.3.1 Metrics and Metric Spaces 6

1.3.2 Norms and Normed Spaces 8

1.3.3 Inner Products and Inner Product Spaces 14

1.4 The Discrete Fourier Series (DFS) 25

Appendix 1.A Complex Arithmetic 28

Appendix 1.B Elementary Logic 31

References 32

Problems 33

2 Number Representations 38

2.1 Introduction 38

2.2 Fixed-Point Representations 38

2.3 Floating-Point Representations 42

2.4 Rounding Effects in Dot Product Computation 48

2.5 Machine Epsilon 53

Appendix 2.A Review of Binary Number Codes 54

References 59

Problems 59

3 Sequences and Series 63

3.1 Introduction 63

3.2 Cauchy Sequences and Complete Spaces 63

3.3 Pointwise Convergence and Uniform Convergence 70

3.4 Fourier Series 73

3.5 Tayl³&