These are the 6 most recently added notes.
- Part 5: Appendix to notes on complex numbersProofs of two important calculations with complex numbers written in polar co-ordinates. Links to interesting lessons about complex numbers are added in the second part of this page.
- Part 4: Powers and roots of complex numbersBased on writing complext numbers using polar co-ordinates (see Part 3 of these notes) the powers and roots of complex numbers can be calculated relatively easily. IMPORTANT: If you are not familiar with trigonometry do not proceed further yet. These notes refer to proofs which can be found in part 5 of these notes.
- Part 3: Graphical representation of complex numbersAn alternative way of writing complex numbers. This way is based on graphically representing the two parts of a complex number on a co-ordinate plane. IMPORTANT: If you are not familiar with trigonometry do not proceed further yet. These notes refer to proofs which can be found in part 5 of these notes.
- Part 2: Basic calculations with complex numbersHow to write complex numbers. How to do the basic types of calculations with complex numbers. i.e. addition, subtraction, multiplication and division.
- Part 1: The background of complex numbersThe origins of complex numbers and the unfortunately name “imaginary” numbers.
- Negative and fractional exponentsExponents are often introduced as a way of multiplying several of the same value. Two or more numbers are needed for multiplication and rules are developed based on this assumption. Exponents that are equal to 0, or 1, or negative, or fractions do not fit this assumption yet the rules are just assumed to apply… Read more: Negative and fractional exponents