Catalog Entries |
2024 September Semester
Apr 26, 2024 |
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| MATH 402 - Functional Analysis |
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This course deals with analysis on structures varying from metric spaces to normed and Hilbert spaces. Topics include the contraction mapping principle, applications of fixed-point theorems to differential equations, bounded linear operators between normed vector spaces, Banach spaces, duality, Riesz representation theorem, and compact linear maps and their spectra. The course also covers the Fourier transform and shows some of its applications in thermodynamics and diffusion.
Credits: 3.000 Levels: Undergraduate Schedule Types: Lecture, Final Exam |
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