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Real Analysis, Lecture 1: Constructing the Rational Numbers

HarveyMuddCollegeEDU · 613.5K views · 2010-05-19 · 1:02:06

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Overview

The first lecture of Francis Su's Harvey Mudd real analysis course, covering the construction of the rational numbers. It begins a full lecture series that follows a standard analysis text.

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HN people recommend Su's lectures for building real analysis intuition, citing his phenomenal teaching style.

Recommended by 5 HN people across 4 months · HN mentions 2018–2024

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What people said

tildedave · 2018-09 · Strong recommendation

One of my favorite video series on YouTube is Francis Su's _Real Analysis_. [VIDEO] He walks through the basics of constructing the real numbers, defines metric spaces and proves some topological properties, defines continuous functions, and goes into differentiable functions. The video quality isn't great but his teaching style is phenomenal - he's really great about engaging the class and getting them to walk through the reasoning for each of the theorems.

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edanm · 2018-03 · Strong recommendation

I highly recommend Francis Su's Real Analysis Youtube lectures, on Youtube [1]. He is an amazing teacher. I first started trying to learn Real Analysis from Baby Rudin, but I couldn't understand the point behind the ideas introduced there. Then I started watching these lectures, which are based on Baby Rudin and mostly follow it, and it helped a lot (together with reading the main text itself - a crucial step). The only bad thing is that only half of Rudin is covered - the other half is covered in Real Analysis 2, which is unfortunately not online as far as I can tell. [1] [VIDEO]

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antman · 2024-08 · Recommendation

This series of courses from Francis Su. It is not mentioned a lot but I think it succeeded in creating an intuition on Real Analysis for me. I think it could help people joining this [VIDEO]

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Sources

Video by HarveyMuddCollegeEDU, played through YouTube.

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