András Zsák


Part III Functional Analysis, Michaelmas 2024

Course guide   pdf

Course notes (lectures 1-23)   pdf

Chapter 8   pdf

Examples Sheet 1   pdf

Examples Sheet 2   pdf

Examples Sheet 3   pdf

Background notes: Banach spaces   pdf

Background notes: Measure theory   pdf

Background notes: Complex Analysis   pdf

Background notes: Hilbert spaces   pdf


Part IB Analysis and Topology, Michaelmas 2021

Examples Sheet 1   pdf

Examples Sheet 2   pdf

Examples Sheet 3   pdf

Examples Sheet 4   pdf

A special case of Lindelöf-Picard   pdf

Arbitrary product spaces (non-examinable)   pdf

Inverse Function Theorem (including the non-examinable part)   pdf

Local extrema and the Hessian (non-examinable)   pdf