1550251515-Classical_Complex_Analysis__Gonzalez_

Functions. Limits and Continuity. Arcs and Curves 129

v

y

x 4 u

Fig. 3.2

2. In recent years several techniques of computer graphing have been

developed. Software for the graph of w = f ( z) using a personal computer

is now readily available.

3. Heffter [8] writes w = Reie = f(x + iy), and constructs the graph of
   the modular surface R = R(x, y). On this surface the values of~= ~(x, y)
   are then indicated by surface markings. This method has been used by
   E. Jahnke and F. Emde in their celebrated collection of tables [9], as well
   as by other writers.

v

w-plane

x

Fig. 3.3