Lectures That Follow Pugh: Real Mathematical Analysis

In summary: I think he and some others left because they were disenchanted with the direction of the site.In summary, there are several resources available for those studying Pugh's Real Mathematical Analysis, including lecture notes, review notes, and assignments from various institutions. However, there do not seem to be any video lectures specifically tailored to Pugh's book. It is also noted that the problem numbers may have changed since the available edition, and micromass, a former member who was knowledgeable about problem selection, is no longer active on the site.
  • #1
MidgetDwarf
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Not sure if this is the correct forum. But are there any video lectures that follow the book Pugh: Real Mathematical Analysis? Thanks.
 
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  • #2
I think this is the best forum.

Since no one has answered and these are probably useful for someone:

Brent Nelson at Berkeley used Pugh for 105: syllabus, and notes, assignments and midterms for chapters 5 and 6 (with solutions). Notes are at the right, by section and are handwritten.

Here are some review notes (47 pages) based on Pugh to get graduate students in statistics up to speed at Berkeley. And here is an adaption (78 pages) by UNC's graduate biostatistics program for the same purpose that incorporates other sources.

Here are Evan Chen's 74 pages of notes from Pugh's 104 course for chapters 1-4.

Here are Alexander Yong's outline and assignments from Pugh for chapters 1-4 (listed problems). Not sure if the numbers have changed for problems since the then available edition. Also includes a midterm; and a final exam review.

Haven't yet seen video lectures.

micromass might be willing to comment on problem selection.
 
  • #3
TurboDiesel said:
micromass might be willing to comment on problem selection.
Sadly, we haven't seen micromass around in a few years. He was a large reason why I joined PF in the first place.
 
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1. What is the purpose of "Lectures That Follow Pugh: Real Mathematical Analysis"?

The purpose of "Lectures That Follow Pugh: Real Mathematical Analysis" is to provide supplemental material and lectures for students studying real analysis using the textbook "Real Mathematical Analysis" by Charles Pugh. It aims to clarify difficult concepts, provide additional examples, and offer alternative approaches to understanding the material.

2. Who can benefit from these lectures?

These lectures can benefit students studying real analysis at the undergraduate or graduate level, as well as anyone interested in deepening their understanding of the subject. They may also be helpful for instructors looking for additional resources to supplement their teaching.

3. Are these lectures a replacement for the textbook?

No, these lectures are not meant to replace the textbook. They are intended to be used in conjunction with the textbook as a supplemental resource. It is recommended to read the corresponding sections in the textbook before watching the lectures.

4. How are the lectures organized?

The lectures are organized by chapter and section, following the structure of the textbook. Each lecture corresponds to a specific section and covers the main concepts and theorems presented in that section. This makes it easy to find and review specific topics.

5. Are these lectures available for free?

Yes, these lectures are available for free on various online platforms, such as YouTube and the instructor's personal website. They can also be accessed through the textbook's companion website. However, some platforms may require a subscription or payment for full access to all lectures.

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