RE: Just started
January 4, 2018 at 12:46 pm
(This post was last modified: January 4, 2018 at 12:54 pm by Kernel Sohcahtoa.)
(January 4, 2018 at 8:25 am)polymath257 Wrote:(January 3, 2018 at 10:51 pm)Kernel Sohcahtoa Wrote: My apologies, polymath. I'm afraid that I have zero ability/talent for math (nor am I any type of intellectual): I'm just a random guy who finds math interesting and wants to gain a basic understanding of it. Based on your credentials, I'm pretty sure that I'd bore you or any serious student of mathematics. With that said, there are certainly highly intelligent forum members here and members who are good at math, so I hope that you are able to meet them. Thanks for joining AF, sir.
Fair enough. But know that I am always willing to answer questions. If you don't want full solutions, I can usually point a direction.
Recently, I've become interested in real analysis and would like to learn material that would typically be covered in an intro to real analysis course (e.g., sequences, series, continuity, differentiability, integrability, and the real numbers). However, it seems that there's a lot of information to cover. With that said, in your opinion, what core concepts should I ensure that I understand in order to successfully complete the equivalent of an intro to real analysis course? Also, what books or resources would you recommend? Thanks.
P.S. Would you happen to have access to a course syllabus that provides a clear trajectory of how to proceed through the course along with the key topics and concepts to study (perhaps books to get and core exercises to work in those books)? Thanks again.