Complex Analysis - Maths KU

3
2
1
0
–1
–2
–3
–3 –2 –1 0 1 2 3
Level curves for f(z) = 1/z.
See page 170.
3
Analytic
Functions
3.1 Differentiability and Analyticity
3.2 Cauchy-Riemann Equations
3.3 Harmonic Functions
3.4 Applications
Chapter 3 Review Quiz
Introduction In the preceding chapter we introduced
the notion of a complex function. Analogous
to the calculus of real functions we can
develop the notions of derivatives and integrals
of complex functions based on the fundamental
concept of a limit. In this chapter our principal
focus will be on the definition and the properties
of the derivative of a complex function.
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