differential topology quickly makes me lose my sanity

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@averagemathsnerd
differential topology quickly makes me lose my sanity
I have fully studied and done a lot of calculus 1 2 and 3,
Yet i still am shit at integration.
Have you ever felt the need to read a research paper on an area that youll probably never study nor intend in doing so?
i honestly dont know what to post on tumblr so i’ll just say random stuff about maths i guess
tfw the textbook explanation is so bad wikipedia’s is better
i love how the fact that im interested in maths can be traced back to when i read homestuck when i was 7, what the fuck
Don’t know what to choose for my PhD, Mathematical Physics or Geometry?
Do you mean like algebraic geometry or actual geometry?
I mean actual Geometry, just for context in my uni the list for the PhD specializations is:
-Algebra, Logic and Foundations
-Mathematical Analysis
-Numerical Analysis and Computational Maths
-Geometry and Topology
-Mathematical Physics
I can’t decide between the last two
Going with geometry and topology. All that Hilbert space stuff seems neat, but it seems unlikely that you get through mathematical physics without doing a fair number of integrals. Also I don’t know what I’m talking about.
Yeah sure i think i should go with geometry too, i don’t like staring at integrals for too long, especially triple ones
Don’t know what to choose for my PhD, Mathematical Physics or Geometry?
Do you mean like algebraic geometry or actual geometry?
I mean actual Geometry, just for context in my uni the list for the PhD specializations is:
-Algebra, Logic and Foundations
-Mathematical Analysis
-Numerical Analysis and Computational Maths
-Geometry and Topology
-Mathematical Physics
I can’t decide between the last two
Thinking of that time i absolutely neglected doing the exercises in Spivak’s textbook when i was young and learning calculus, because of this it now takes me 30 minutes to integrate a complicated function.
I wish i could give young me a slap.
Don’t know what to choose for my PhD, Mathematical Physics or Geometry?
I believe the worst feeling while reading a textbook is not being able to follow the author’s train of thoughts.
Graph theory is interesting, wish i had more time to read on it.
I’m more and more going the abstract path of mathematics (to the point where i considered reading Russel’s Principia), although i’d also like to study such things as dynamical systems and other “concrete” (non-discrete) subjects.
Don’t get me wrong though, the foundations of maths and logic are interesting in their own right, but more applicable areas still are fun when studied for their own sake.
I think the most unhealthy thing i do is only read when it’s late at night, i often spend the whole day procrastinating and then end up reading from midnight to 3 am, Anyone else?
Currently going through Serge Lang’s Calc 3 book, i don’t like his treatment of the subject that much, but it’s too late to change books, planning on taking abstract algebra and then differential geometry.
if you’re looking for recommendations then i suggest reading Hubbard’s Vector Calculus; Remember that doing the exercises is crucial though.
i still have no idea how tumblr works....
I think I chose to be a math major cause I’m a masochist. There’s no other explanation.