Course Text: An Introduction to Complex Variables and Analytic Functions, by Bengt Fornberg and Cécile Piret, manuscript under development. Current version can be found of the D2L page for the class.

THIS pleasant and moderately priced little book forms an excellent introduction to the complex variable. It is written in a brisk and lucid style, and may be confidently recommended to students of ...

An analytic function of a complex variable is a function that has both continuity and differentiability properties. These functions play a fundamental role in various branches of mathematics, ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The calculus of residues is a branch of complex analysis dealing with singularities of meromorphic functions. It harnesses the power of complex analysis to efficiently evaluate certain definite ...

Section 1.1 (Page 4): 3,4, 5(a),6(b),7(c)8-16,18,22-23. Turn in: 22,23 Section 1.2 (Page 12): 3-5, 7(a)-(d), 8-11,13-14. Turn in: 7,13 Section 1.3 (Page 22): 2,5,6, 7 ...

ABSTRACT: This work shows, after a brief introduction to Riemann zeta function , the demonstration that all non-trivial zeros of this function lies on the so-called “critical line”,, the one Hardy ...