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Full-Text Articles in Other Mathematics
Approaching Cauchy’S Theorem, Stephan Ramon Garcia, William T. Ross
Approaching Cauchy’S Theorem, Stephan Ramon Garcia, William T. Ross
Department of Math & Statistics Faculty Publications
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.
Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality.