Self Taught Abstract Mathematics Course?

[Aero51]

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?

 

[jedishrfu]

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

 

[Szichedelic]

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!