Favourite field of mathematics

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SUMMARY

The forum discussion centers on participants' favorite fields of mathematics, with a strong emphasis on algebra, particularly Galois theory, and number theory. Users express their enjoyment of abstract algebra and its various branches, including group theory, complex analysis, and differential geometry. The conversation highlights the appeal of mathematical abstraction compared to calculus and the excitement of exploring complex topics such as functional analysis and algebraic geometry. Participants also share personal experiences and insights into their mathematical journeys, emphasizing the beauty and depth of the subject.

PREREQUISITES
  • Understanding of basic algebra concepts
  • Familiarity with calculus, specifically Calculus I
  • Knowledge of abstract algebra, including group theory
  • Introduction to complex analysis and differential geometry
NEXT STEPS
  • Study Galois theory and its applications in algebra
  • Explore the fundamentals of functional analysis
  • Learn about algebraic geometry and Groebner bases
  • Investigate the connections between group theory and quantum mechanics
USEFUL FOR

Students and enthusiasts of mathematics, particularly those interested in abstract algebra, complex analysis, and theoretical physics, will benefit from this discussion.

  • #31
Ahh what exactly do you mean?
 
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  • #32
Jarle said:
In almost every hobby, or interest field you have, it is perfectly normal to use your spare time on it. But if you are interested in math's or physics it's "nerdy" to learn more of it, and do extra homework on it. Wonder why...
maybe it has something to do with the "nerd" stereotype planted in our minds by hollywood. in movies, any kid who wants to pursue their interests in maths/physics are called a "nerd" and is portrayed as an un-cool guy who wears glasses and has pimples.
 
  • #33
I'm new to this forum and I really like it.
Regarding my post before: isn't this thread about favourite math subject? So I answered "foundations".
Greetings Fabio
 
  • #34
Yes We can tell your new, it says you have 2 posts. What I was asking was what exactly do you mean by foundations? You mean..axiomatic theory or arithmetic or what?
 
  • #35
Mostly formal logic and axiomatic set theory. Those parts of mathematics which build up the foundations on which all the other ideas rest.

Btw. it's nice that you're able to read my number of posts. But I don't think there's any problem with me stating that I'm new to this forum. Anyway, your earlier post wasn't really helpful either, so I think it would be best if you limited the content of your statements to the necessary stuff. Thank you a lot.
 
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