Courses Self Taught Abstract Mathematics Course?

AI Thread Summary
Recommendations for self-teaching abstract mathematics courses include utilizing structured online syllabi and textbooks, such as Herstein's for abstract algebra. Participants suggest pacing oneself with online courses while allowing for independent exploration. The importance of maintaining motivation and discipline in studying proofs is emphasized, as some find it challenging despite having a strong intuition for mathematical concepts. Creating a blog to document learning progress and problem-solving can also serve as a motivational tool. Engaging with structured resources and community support may enhance the self-learning experience in abstract mathematics.
Aero51
Messages
545
Reaction score
10
Self Taught Abstract Mathematics Course??

Good evening everyone! I would like to know if anyone has any recommendations for a self-teaching course in abstract mathematics. I have attempted to teach myself abstract algebra and linear algebra but for some reason I cannot find the discipline to stick with the topic. I find this strange because I have taught myself other subjects related to fluid mechanics and thermodynamics with little difficulty.

In general, I find that I have pretty good intuition for understanding mathematical concepts, but I cannot motivate myself to sit down and do the proofs rigorously; I tend get bored. Perhaps there is a strategy or a mindset for learning mathematics outside the classroom which I have yet to learn.

Thoughts?
 
Physics news on Phys.org
you could pace yourself using an online course amd then explore on your own as you see fit.

Here's a possible course to start with:

http://www.math.niu.edu/~beachy/abstract_algebra/study_guide/contents.html
 


Hi Aero51,

I am currently trying to teach myself abstract algebra over the Summer. I rented Herstein's textbook from the library and have been following this syllabus: http://www.metu.edu.tr/~pasemra/math367.html

At the bottom of the page, there are suggested problems from every chapter covered in the course. I have toyed with the idea of creating a blog with each entry being a "Homework assignment" complete with solutions to the problems given in the webpage.

Good luck!
 
Last edited by a moderator:
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
Back
Top