# 3: Complex Numbers

- Page ID
- 9953

- 3.3: Algebra of Complex Numbers
- The complex numbers form a mathematical “field” on which the usual operations of addition and multiplication are defined. Each of these operations has a simple geometric interpretation.

- 3.5: Representing Complex Numbers in Vector Space
- So far we have coded the complex number z=x+jy with the Cartesian pair (x,y) and with the polar pair (r∠θ) . We now show how the complex number z may be coded with a two-dimensional vector z and show how this new code may be used to gain insight about complex numbers.