Complex Numbers 1

This booklet is designed to give a thorough grounding in Complex Numbers. A good understanding in this topic is essential for all those people who wish to go on and study Mathematics and other science subjects like, Physics, Chemistry and Engineering.
Often the fundamental concepts like these are frequently not completely understood leading to confusion and often dissatisfaction and can result in people giving up on the subject altogether.
This is a shame because such confusion can often be attributed to poor teaching or unexplained misconceptions. This series of booklets sets out to explain fully and clearly every step throughout with everything presented in an easy to understand format through a wide variety of fully worked solutions covering most exam type questions.
This booklet is the Complex Numbers module 1 and contains the following topics:
Definition of a complex number
Addition of complex numbers
Subtraction of complex numbers
Multiplication of complex numbers
Division of complex numbers
Conjugate complex numbers
Equal complex numbers
Exponential complex numbers
Graphical interpretation of complex numbers
The Argand Diagram
Vector addition of complex numbers
Vector subtraction of complex numbers
Inverse additives of complex numbers
Use of Eulers Equation
Use of De Moivre’s Equation
Modulus or absolute values of complex numbers
Polar forms of complex numbers
Magnitudes and arguments of complex numbers
The roots of Unity (Mod/Arg for
The Roots of Unity (Exponential form)
Other booklets in this series will be published shortly so keep a lookout for these as they become available.