Looking for online summer study buddies

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Discussion Overview

The discussion revolves around forming an online study group for various mathematics and physics topics during the summer. Participants express interest in collaborating on specific texts and subjects, including geometry, calculus, analysis, linear algebra, set theory, number theory, and general relativity.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant proposes studying Kiselev's geometry and expresses openness to other topics such as Spivak's calculus, analysis texts, linear algebra, set theory, and number theory.
  • Another participant expresses interest in studying physics, specifically Padmanabhan's general relativity text, but notes a lack of prior physics knowledge.
  • A participant mentions creating a blog with MathJax for organized discussions and offers to include others as authors.
  • One participant is currently working through Hrbacek and Jech's Introduction to Set Theory and expresses interest in collaborating on this topic.
  • Another participant indicates they are also studying set theory and is interested in working through the same book together.
  • Discussion includes suggestions for linear algebra texts, with mentions of Apostol, Hoffman & Kunze, Halmos, and Sharipov, along with considerations of their complementary nature.
  • Participants discuss the potential for continuing the study group beyond summer and express willingness to collaborate on various subjects.

Areas of Agreement / Disagreement

Participants generally express interest in forming a study group and collaborating on specific topics, but there are multiple competing views on which subjects to focus on and the level of prior knowledge required for physics discussions. The discussion remains open-ended without a clear consensus on a single path forward.

Contextual Notes

Some participants express uncertainty about their level of knowledge in physics, which may affect their ability to engage with certain texts. There are also mentions of potential financial limitations regarding book access.

Who May Find This Useful

Individuals interested in collaborative study of advanced mathematics and physics topics, particularly those looking for peer support in self-directed learning environments.

dustbin
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Just checking if anyone wanted to get an online study group going over the summer! I'm flexible as to what to study, but I am definitely going to work through both books of Kiselev's geometry (I've just started and am on chapter 2). If I finish those, then I may want to move on to Moise, Hartshorne, Pedoe, Coxeter, or something similar. Other books/topics I'd like to work on:

Spivak's calculus (I have a good chunk done already)
Analysis text (Rudin, Apostol, Carothers, ...)
A good linear algebra book (preferably projective/geometric oriented, but whatever... second course level - but not Axler as I've worked through most of it)
Set Theory (Hrbacek & Jech, Kaplansky, etc.)
Number Theory (intro level)
Contest prep books might be fun...

My brain is open! Make some suggestions. Anyone up for being a study group mentor (micromass :-D )?
 
Physics news on Phys.org
Micromass is mine sorry.
 
dustbin said:
Anyone up for being a study group mentor (micromass :-D )?

If people are interested, then I'd be up for it :-p
 
micromass said:
If people are interested, then I'd be up for it :-p
I SEE HOW IT IS :cry:

Are you willing to do physics :p? I was thinking about working through Padmanabhan's general relativity text. I can never find anyone willing to do work through GR textbooks together >.>
 
I would study physics, but I have never even taken an introductory course (i.e. I have no physics knowledge outside of calculus and a little bit I learned when we covered differential forms in an honors vector calc class that did some diff geometry). So I would be totally lost studying any physics at your level :-P
 
I made a blog on blogger and got MathJax working on it so we can easily post up organized discussions and what not using LaTeX. I can add anyone interested as an author on the blog! Micromass pointed out a chat service that allows use of LaTeX as well. Since the blog is via blogger, we can use google+ for video chatting and what not (I think up to 8 or 10 people at a time) and easily share documents via google drive.

If money is an issue (with respect to books), just let me know. We can definitely find some free or very cheap books to use.
 
I'm currently working through Hrbacek and Jech's Introduction to Set Theory right now. If that were one of the topics that is covered in the blog, I might be interested.
 
How far along are you? I'm definitely interested in working through that book. The blog is meant to be a community blog where we can post our questions and have discussions among our study group.
 
  • #10
dustbin said:
How far along are you? I'm definitely interested in working through that book.

Not far at all. I'm about to start the exercises for section 3 of Chapter 1.
 
  • #11
Sweet! I'm down if you want to study through it together!
 
  • #12
dustbin said:
Sweet! I'm down if you want to study through it together!

Alright, great! You can PM me the blog or post here, whichever you prefer.
 
  • #13
Awesome! For you, and anyone else who is maybe interested, here is the blog:
pfmathcircle.blogspot.com
Anyone who wants to join in (beyond leaving comments) has to PM or email me their email address. So looks like we'll be working through Hrbacek and Jech's "Introduction to Set Theory." I'll also be working through Kiselev's geometry books, so anyone interested in that should inquire as well!
 
  • #14
dustbin, what are you currently studying? I know the summer's almost over, but I hope this can continue on.
 
  • #15
I have been doing more problems out of Spivak, studying set theory, geometry, and linear algebra. I'd be more than happy to get this going again! What are you looking to do? My summer lasts until the end of September, btw. I stopped posting on the blog since interest seemed lost... but I'm still studying :-)
 
  • #16
Any analysis or linear algebra book you want to work on?
 
  • #17
I've been reviewing linear algebra from Apostol's Calculus (Vol2), going over stuff we skipped in my previous course. I'm not sure what level you are thinking for linear algebra. If you are looking for a second course, then Hoffman & Kunze or Halmos seems the likely suggestion. I would really like to read Sharipov's linear algebra book, but there are no exercises. Maybe Sharipov with Halmos' Linear Algebra Problem Book? I don't know how well these would complement each other...

For analysis, my suggestions would be Apostol or baby Rudin.
 

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