Algebra of Complex Numbers

Algebra of Complex Numbers

Having pinned down what a complex number is, this section develops the algebra of complex numbers — starting with when two complex numbers count as equal (Section 1.2.1) and what it means to conjugate one (Section 1.2.2), before defining the four fundamental operations: addition, subtraction, multiplication, and division (Sections 1.2.3-1.2.8). Throughout, the guiding principle is that complex-number arithmetic behaves exactly like ordinar …