Complex Arithmetic
The Rectangular Form
Exercises
The Polar Form of Complex Numbers
Exercises
Fractional Powers of Complex Numbers
Exercises
Complex Symbolic Algebra
Exercises
Loci and Regions in the Complex Plane and Displaying Complex Functions
Meshgrid and Three-Dimensional Plotting
Exercises
Two-Dimensional Plots: The Contour Plot
Exercises
Displaying Regions in the Complex Plane
Three-Dimensional and Contour Plots for Functions with Singularities
Contour Plots Affected by Branch Cuts
Exercises
Sequences, Series, Limits, and Integrals
Sequences
Exercises
Infinite Series and Their Convergence
Exercises
Integration in the Complex Plane: Part 1, Finite Sums as Approximations
Exercises
Integrations in the Complex Plane: Part 2, int and quadgk
Exercises
Harmonic Functions, Conformal Mapping, and Some Applications
Introduction
Exercises
The Bilinear Transformation
Laplace’s Equation, Harmonic Functions: Voltage, Temperature, and Fluid Flow
Exercises
Complex Potentials, Cauchy–Riemann Equations, the Stream Function, and Streamlines
Exercises
Mapping, Dirichlet, and Neumann Problems and Line Sources
Exercises
Polynomials, Roots, the Principle of the Argument, and Nyquist Stability
Introduction
The Fundamental Theorem of Algebra
Exercises
The Principle of the Argument
Exercises
Nyquist Plots, the Location of Roots, and the Pole-Zero Map
Exercises
Transforms: Laplace, Fourier, Z, and Hilbert
Introduction
The Laplace Transform
Exercises
The Fourier Transform
Exercises
The Z Transform
Exercises
The Hilbert Transform
Exercises
Coda: Fractals and the Mandelbrot Set
Julia Sets
Appendix to Coda
Exercises
Index
Biography
A. David Wunsch is Professor Emeritus of Electrical and Computer Engineering at the University of Massachusetts Lowell, USA. He earned his PhD from Harvard University and is the author of the textbook Complex Variables with Applications, published by AddisonWesley/Pearson. The book is currently in its third edition and has been continuously in print since 1983. It is one of the most popular textbooks on the subject.
