Complex Analysis - A Visual and Interactive Introduction

Complex Analysis – A Visual and Interactive Introduction

Year: Second Year, Third Year
Type: Simulation, Tutorial
Topic: Applied Mathematics, Mathematics and statistics
Attribution: University of Queensland
Date: Mar 2021
Summary: A collection of selected topics and interactive applets on the theory and applications of complex functions from a visual point of view; a supplementa
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About this resource

Description

This online book is an interactive introduction to the theory and applications of complex functions from a visual point of view. What distinguishes this book from other traditional texts in the first instance is the use of interactive applets that allow you to explore properties of complex numbers geometrically and analyse complex functions by using different techniques to visualize them.

Length

At own pace

Pedagogical backing

Rationale

The basic idea behind this online book is to provide not only the mathematical content but also a set of online interactive applets to help readers (students) explore properties of complex numbers geometrically and analyse complex functions by using different techniques to visualize them. User feedback has been very positive.

How is the resource used

Suggested as a supplementary learning resource for helping students (1) to make and test conjectures, and (2) to create a meaningful connection between the visual representation, the quantitative properties, the algebraic calculations and the mathematical, or physical, concepts covered in Complex Analysis.

Authors

Juan Carlos Ponce Campuzano, University of Queensland (j.ponce@uq.edu.au)