Introduction to Operator Theory (Essay I)

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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. Operator Theory sits naturally at the intersection of analysis, … Continue reading Introduction to Operator Theory (Essay I)

OPERATION GRADIENT: MY 15A EXPERIENCE (Part I)

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What is a gradient? Many students plowing their way through Calculus III can readily answer this question. In fact I would have, before attending the esteemed Operations Research Analyst course (15A) for incoming officers in the US Air Force. Now I consider this question as much philosophically as I do mathematically, especially in terms of … Continue reading OPERATION GRADIENT: MY 15A EXPERIENCE (Part I)