Other Would I become a mathematician if I finished this textbook?

1. Jan 9, 2017

knockout_artist

question:
would I become mathematician if I read and worked exercises of
INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS
(Erwin Kreyszig)
?
information:
I have been studying mathematics at my own, I am now probing which direction to go.

suggestion needed:
Please tell me any graduate level pure math book so I can make my self miserable for few month to see where I stand.

Thank you.

2. Jan 9, 2017

dkotschessaa

University and grad school in particular has the misery you seek. Any chance of that?

By working solo, one might consider oneself an amateur mathematician. That is simply a person who loves (but is perhaps not credentialed) the subject.

-Dave K

3. Jan 9, 2017

knockout_artist

I don't know..

So far my path has been like this:
if I am doing asthmatic right I know number reasonably ok.
if I am doing calculus that means my trig/limit and stuff is ok-ish
if I am doing analytic functions that means my complex no. are ok-ish
if I am doing ODEs that means my calculus is ok-ish
if I am doing norm space etc that means my linear space is ok-ish

I have not studied math after grad 10, I will see If I can work some thing.. GRE or some thing.. with long distance edu.