Book 5:  Complex Numbers

 

You Will


Subjects

 

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Appendix

  • Using Imaginary Numbers

  • Using Complex Numbers

  • Adding and Subtracting Complex Numbers

  • Multiplying and Dividing Complex Numbers

  • Refusing To Go Negative

  • Taking A Gamble

  • With a Little Help

  • A Complex Proof

 

 

Video Highlights


Imaginary numbers play an important role in algebra. This book explains imaginary numbers and shows how to work with them using some familiar rules as well as some new rules. This book also illustrates basic operations with complex numbers-numbers with both real and imaginary components. Examples include fractal imagery and problems in the field of aeronautical engineering.
 

Introduction

Chapter 1

Chapter 2

Chapter 3

Chapter 4

  • Beyond Real Numbers

  • Why Imaginary Numbers?

  • Defining i

  • Real and Imaginary Numbers

 

  • Creating a Plane

  • Introducing Complex Numbers

  • A Fractal is Worth a Thousand Words

 

  • Starting with Addition

  • Moving To Subtraction

 

  • Moving to Multiplication

  • Introducing Complex Conjugates

  • Moving To Division

  • Making the Unimaginable Happen

 

 
Summary/Terminology

axis
imaginary number
real number
simplifying the powers of i
i
Complex Number
Coordinate
Origin
Complex Plane
Fractal
Sets of Numbers
Inverse Operations
Commutative Property

 Associative Property
Distributive Property
Adding Complex Numbers
Subtracting Complex numbers
Complex Conjugates
Component
Coefficient
FOIL
Multiplying Complex numbers
Multiplying Complex Conjugates
Dividing Complex numbers