Mathematics for Electrical Engineering and Computing

Table of Contents

Cover image

Title page

Copyright page

Preface

Acknowledgements

Part 1: Sets, functions, and calculus

1. Sets and functions

1.1 Introduction

1.2 Sets

1.3 Operations on sets

1.4 Relations and functions

1.5 Combining functions

1.6 Summary

1.7 Exercises

2. Functions and their graphs

2.1 Introduction

2.2 The straight line: y = mx + c

2.3 The quadratic function: y = ax2+bx+c

2.4 The function y = 1/x

2.5 The functions y = ax

2.6 Graph sketching using simple transformations

2.7 The modulus function, y = |x| or y = abs(x)

2.8 Symmetry of functions and their graphs

2.9 Solving inequalities

2.10 Using graphs to find an expression for the function from experimental data

2.11 Summary

2.12 Exercises

3. Problem solving and the art of the convincing argument

3.1 Introduction ...