17.1 Complex Numbers

17.2 Powers and Roots

17.3 Sets in the Complex Plane

17.4 Functions of a Complex Variable

17.5 Cauchy–Riemann Equations

17.6 Exponential and Logarithmic Functions

17.7 Trigonometric and Hyperbolic Functions

17.8 Inverse Trigonometric and Hyperbolic Functions

Chapter 17 in Review

In elementary courses you learned about the existence and properties of complex numbers. But in courses such as calculus, it is likely that you did not even see a complex number. So, in the next four chapters we are going to introduce you to complex analysis; that is, the study functions of a complex variable.