Currently I am a junior at UCLA. I have taken some math classes and they seem really interesting. However, I am not sure whether I should pursue a PhD in mathematics. So instead I'm thinking about getting a master degree. However there's very few information about master in mathematics online.
Question 1: How rare is it for people to go to industry first and then go back to academia (after 2 years, for example)? How should they deal with the recommendation letter part?
Question 2: Some of my friends have been taking honour classes since they were freshman. However I used to be a math/economics major so I've been taking regular courses. How would that impact my application? (suppose I'm NOT talking about master in computational finance or financial engineering. I took a class in option pricing and interest rate model, worst "math" class ever)
Question 3: Is there any "rule of thumb" of determining whether someone should pursue an advanced degree (master and PhD) in mathematics? I remember once one of my TA told me that "if you cannot get six A's, then probably this is not the right path for you". Now, my major GPA is 3.8. Got 3 A's in upper (analysis and linear algebra), bunch of A- (complex analysis, differential geometry, probability), and B+ for abstrac algebra.
Any advice/insight is greatly appreciated. Thank you very much.