ABSTRACT

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice.

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chapter 1|30 pages

Basic Ideas

chapter 3|22 pages

The Cauchy Theory

chapter 4|22 pages

Applications of the Cauchy Theory

chapter 5|52 pages

Isolated Singularities and Laurent Series

chapter 6|26 pages

The Argument Principle

chapter 9|14 pages

Harmonic Functions

chapter 10|32 pages

Transform Theory