October 29th, 2016, 05:15 PM  #1 
Member Joined: Oct 2016 From: New York Posts: 56 Thanks: 14 Math Focus: Analysis and Differential Geometry  From Rudin to Research
Since am a self learner, I am wondering once someone finishes Rudin's Principles of Real Analysis, how far are they from being able to do research in Analysis? How long does it take from finishing Rudin's book to being at the same level as a college professor?

October 29th, 2016, 05:52 PM  #2 
Member Joined: Oct 2016 From: New York Posts: 56 Thanks: 14 Math Focus: Analysis and Differential Geometry 
By the way if anyone who is really into Real Analysis wants to be my friend I am interested. I have a very interesting background.

November 4th, 2016, 01:35 PM  #3 
Member Joined: Oct 2016 From: New York Posts: 56 Thanks: 14 Math Focus: Analysis and Differential Geometry 
Or not!

November 5th, 2016, 04:39 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,922 Thanks: 785 
I would say it takes about 5 to 6 years of intense study to go from "Rudin" (typically used in a Junior or Senior analysis class) to actual research (equivalent to having completed a doctorate). But that would be in a university studying with good teachers. I would consider it almost impossible to do by "self study". Without teachers, you have, especially at the higher levels, no way to correct misunderstandings or even knowing that you are misunderstanding.

December 11th, 2016, 05:10 PM  #5 
Member Joined: Oct 2016 From: New York Posts: 56 Thanks: 14 Math Focus: Analysis and Differential Geometry 
I understand what you mean. I am very good at correcting my own mistakes, but I would need someone to look over my proofs.

December 16th, 2016, 10:16 AM  #6 
Member Joined: Oct 2016 From: New York Posts: 56 Thanks: 14 Math Focus: Analysis and Differential Geometry 
So Country Boy can't I just use these type of forums to get advice and get my work corrected?


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