18.04 | Fall 1999 | Undergraduate

Complex Variables with Applications

Study Materials

Branch Cuts and Branches: Real

(All images created with MATLAB® software)

Figure 1: Real part of the Principal Vale of the cube root.

Real part of the Principal Part branch of the cubic root function on the complex plane. Notice the lack of smoothness along the negative real axis (the branch cut), where the surface has a corner.

Picture obtained using the script PlotCube in the Athena 18.04 MATLAB® Toolkit.

Course Info

Fall 1999
Exam Solutions
Exams
Problem Set Solutions
Problem Sets