DOI
10.1080/10511970.2016.1234525
Abstract
We hope to initiate a discussion about various methods for introducing Cauchy’s Theorem. Although Cauchy’s Theorem is the fundamental theorem upon which complex analysis is based, there is no “standard approach.” The appropriate choice depends upon the prerequisites for the course and the level of rigor intended. Common methods include Green’s Theorem, Goursat’s Lemma, Leibniz’ Rule, and homotopy theory, each of which has its positives and negatives.
Document Type
Post-print Article
Publication Date
2017
Publisher Statement
Copyright © 2017 Taylor & Francis Group, LLC.
DOI: 10.1080/10511970.2016.1234525
The definitive version is available at: https://www.tandfonline.com/doi/full/10.1080/10511970.2016.1234525?scroll=top&needAccess=true
Full Citation:
Garcia, Stephan Ramon, and William T. Ross. "Approaching Cauchy’s Theorem." Primus 27, no. 8-9 (2017): 758-65. doi:10.1080/10511970.2016.1234525.
Recommended Citation
Garcia, Stephan Ramon and Ross, William T., "Approaching Cauchy’s Theorem" (2017). Department of Math & Statistics Faculty Publications. 219.
https://scholarship.richmond.edu/mathcs-faculty-publications/219
