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ERIC Number: EJ1163225
Record Type: Journal
Publication Date: 2017
Pages: 8
Abstractor: As Provided
ISSN: ISSN-1051-1970
Approaching Cauchy's Theorem
Garcia, Stephan Ramon; Ross, William T.
PRIMUS, v27 n8-9 p758-765 2017
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.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DMS1265973