FALL 2023
Mariusz Mirek
Course Description:
This course will focus on measure theory and integration, covering the topics of Lebesgue measure and integral, abstract measure and integral, L2 and Lp spaces, elementary Hilbert space theory, absolute continuity, Radon-Nikodym theorem, product measure and integral.
REVIEW SESSIONS: TBD.
Text:
``Real Analysis'' by Folland
Prerequisite:
Good knowledge of linear algebra and some acquaintance with abstract algebra (say first semester of Abstract Algebra for graduate students)
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FALL 2022
Michael Kiessling
Course Description:
This course will focus on measure theory and integration, covering the topics of Lebesgue measure and integral, abstract measure and integral, L2 and Lp spaces, elementary Hilbert space theory, absolute continuity, Radon-Nikodym theorem, product measure and integral.
REVIEW SESSIONS: TBD
Text:
``Real Analysis'' by Folland
Prerequisite:
The classical theory of functions of a real variable: point-set topology, limits and continuity, differentiation and Riemann integration, infinite series, uniform convergence
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FALL 2021
Li-Cheng Tsai
Course Description:
This is a course aiming at graduate students in mathematics. This course will focus on measure theory and integration, covering the topics of Lebesgue measure and integral, abstract measure and integral, L2 and Lp spaces, elementary Hilbert space theory, absolute continuity, Radon-Nikodym theorem, product measure and integral.
REVIEW SESSIONS: TBD
Text:
Real Analysis: Measure Theory, Integration, and Hilbert Spaces, by Elias Stein and Rami Shakarchi
Prerequisite:
The classical theory of functions of a real variable: point-set topology, limits and continuity, differentiation and Riemann integration, infinite series, uniform convergence
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Schedule of Sections:
