What's the most worthwhile to learn?

What's the most worthwhile to learn?
What's the most interesting?

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Veeky
twitter.com/SFWRedditGifs

That's pretty subjective.

Increasing action potential to propagate in space.

nice list, what's the URL?

Veeky Forums-science.wikia.com/wiki/Mathematics

Which is why I'm asking for sci's opinion.

Set theory.

Lose yo fuckin' mind.

You should learn Riemann surfaces from as many different sources/point of view as possible.

What math courses should I take for a physics major?
There are only so many I can fit in a timetable, so I need to know which are the most important topics

any and all diffEQs. that should be obvious. I'd be surprised it's not mandatory.

complex analysis and differential geometry

Pre req for complex analysis is real analysis, but with timetable I'll have to choose between real analysis or diff equations
Should I take diff equations or real analysis?

I could do a second year paper on third year, so I could postpone real analysis to the next year
However I would have to drop one third year paper
What do you guys think I should do?

Linear Algebra, Multilinear Algebra, Geometric Algebra
Complex Variables, Real Analysis, Calculus of Variations, Knot Theory
Ordinary Differential Equations, Partial Differential Equations, Integral Equations
Group Theory, Representation Theory, Lie Algebra
Fourier Analysis, Functional Analysis, Operator Theory
Differential Geometry, Riemann Geometry, Semi-Riemann Geometry
Probability, Statistics, Stochastic Processes
Asymptotic Expansions, Perturbation Theory

Thanks for the list
That is heaps of topics to learn
Is this for undergrad or both undergrad and postgrad?

I really want to learn about group theory and chaos theory. I have gone through multivariable calculus and am learning linear algebra now. What other precursors should I need and what textbooks/resources would yall recommend???

>Set Theory
>Baby's first intro to proofs stuff

CS majors belong on

rotman

clever answer

>What other precursors should I need and what textbooks/resources would yall recommend???
Mark Armstrong - Groups and Symmetry

Veeky Forums-science.wikia.com/wiki/Mathematics#Nonlinear_Dynamics_and_Chaos
Veeky Forums-science.wikia.com/wiki/Mathematics#Group_Theory_Teaser

If you want to go deeper, learn proofs
A Transition to Advanced Mathematics by Smith, Eggen, and St. Andre

Are you planning on graduate school?

Yes, hopefully

Europe is weird

Real/Complex Analysis, Partial Differential Equations, and Mathematical Logic. Obviously these are subjective but those are probably the subsets of mathematics that interest me the most.

Don't worry, you'll eventually grow out of your logic phase like everyone else.

Dynamical systems

>interesting

totally depends on you

>worthwhile to learn

As in career-useful? Depends on which career. Do you like solving problems? Understanding reality? Making lots of money?