Would I become a mathematician if I finished this textbook?

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SUMMARY

Reading and working through "Introductory Functional Analysis with Applications" by Erwin Kreyszig can provide a solid foundation in functional analysis, but it does not guarantee becoming a mathematician. Engaging with graduate-level pure mathematics texts is essential for deeper understanding and self-assessment. The discussion emphasizes the importance of formal education, such as university or graduate school, to gain credibility in the field. Self-study can lead to amateur status, but structured learning is crucial for professional development.

PREREQUISITES
  • Understanding of calculus and its applications
  • Familiarity with linear algebra concepts
  • Basic knowledge of ordinary differential equations (ODEs)
  • Experience with complex numbers and analytic functions
NEXT STEPS
  • Explore graduate-level textbooks in pure mathematics, such as "Principles of Mathematical Analysis" by Walter Rudin
  • Study advanced topics in functional analysis beyond Kreyszig's work
  • Consider enrolling in a formal mathematics program or online courses
  • Practice problem-solving techniques in mathematical proofs and theorems
USEFUL FOR

This discussion is beneficial for aspiring mathematicians, self-taught learners in mathematics, and individuals considering formal education in mathematics to assess their knowledge and direction.

knockout_artist
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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.
 
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knockout_artist said:
question:
would I become mathematician if I read and worked exercises of
INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS
(Erwin Kreyszig)
?

Well, that would be very admirable. But how would you know your answers are correct?

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.

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
 
dkotschessaa said:
Well, that would be very admirable. But how would you know your answers are correct?
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
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

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.

Thanks for your reply!
 

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