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Course Description:
Introduction to modern tools in functional analysis that are used in the analysis of deterministic and stochastic partial differential equations and in the analysis of numerical methods: metric and normed spaces, Banach space of continuous functions, measurable spaces, the contraction mapping theorem, Banach and Hilbert spaces bounded linear operators on Hilbert spaces and their spectral decomposition, and time permitting distributions and Fourier transforms.
Faculty/Manager:
Guillaume Bal
Contact Information:
Guillaume Bal
email: gb2030@columbia.eduCredits for Course: 3 Viewing Schedule: 1 lecture per week Prerequisites: Advanced calculus and a course in basic analysis, or instructor's approval. Notes: Syllabus
* The information contained in this syllabus is subject to change at any time.