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Introduction to Operator Theory (Essay I)
Course Introduction This course is based primarily on John B. Conway's "A Course in Operator Theory" book. The goal is to develop a rigorous foundation suitable for graduate-level pure mathematics, while presenting the material in a way that remains meaningful to students in the applied sciences. $latex x^{2};bg=ffffff&fg=000000$ Operator Theory sits naturally at the … Continue reading Introduction to Operator Theory (Essay I)
Protected: On the Hierarchy of Topological Spaces (Essay II)
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Protected: Advanced – Symmetries Reimagined (Part Two Draft)
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Developmental – Welcoming The Gamma Function
"The art of doing mathematics consists in finding that special case which contains all germs of generality." -- David Hilbert. The Gamma function appears in many areas of mathematics, physics, and engineering. This post will not only provide motivation for studying the Gamma function but also present several methods for deriving it, including an introduction … Continue reading Developmental – Welcoming The Gamma Function
Protected: Advanced – Symmetries Reimagined: Generalized Subset Mappings and Extensions of Symmetry Groups
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