Patrick Oare
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A Course in Functional Analysis: Prerequesites

math
functional-analysis
technical
book-club
Published

September 21, 2026

Part 1 of Functional Analysis

This is my first book club post! I’m reading through Jean-Pierre Serre’s A Course in Functional Analysis and want to write some technical blog posts to go along with what I learn as I write the book. I’m going to start with some prerequisites to remind myself how this type of math works.

Functional analysis is a field I’ve always wanted to study. I started taking Math 202B my last semester at Berkeley (the grad functional analysis course), but unfortunately had to drop because I was taking too many classes. I’ve always wanted to revisit it, so now am using this reading group as an excuse to finally learn some stuff about the topic.

All parts

Part 2: Nets and Sequences →

 

© 2026 Patrick Oare · prose and notes under CC BY 4.0 · code under MIT · typeset in Computer Modern Unicode (OFL)