The math classes I've taken in past 5 years of undergrad:>calc 3>DEs>lin alg>abstract alg>number theory>numerical methods>optimization>probability theory>real analysisand a few other electives. idk. feels like i don't actually know that much math. i'm kind of a dumbass. what do you guys think is a good direction from here?
at this point, you should pick up math that enables you to do what you are interested in, and also know how to learn it yourself
>>16935050I have severe adhd so I cant really choose things for myself though. I need people to tell me what to do
>>16935058Get a therapist for your ADHD.
>>16935067and how do you know he doesn't already have one?
>>16935041>no universal algebra>no descriptive set theory>no geometryYou didn't do math
>>16935041>feels like i don't actually know that much mathProbably because you haven't taken many math classes.>what do you guys think is a good direction from here?Learn some math.
>>16935177>classes = knowledge obviously!1!!11>he doesn't know about autodidacts
>>16935041>optimizationwut was that class about? quick rundown?
>>16935041Now is a good time to read:>Fundamentals of Abstract Analysis - Andrew M. Gleason>Mathematics and Its History - John Stillwell>Mathematics, Form and Function - Saunders Mac Lane>Mathematics: The Music of Reason - Jean A. Dieudonné>Mathematical Concepts - Jurgen Jost>Conceptual Mathematics - F. William Lawvere and Stephen H. Schanuel>Mathematics Made Difficult: A Handbook for the Perplexed - Carl E. Linderholm>Concrete Mathematics - Ronald L. Graham, Donald Knuth, and Oren Patashnik>A Mathematical Introduction to Logic - Herbert B. Enderton>A Unified Grand Tour of Theoretical Physics - Ian D. LawrieMaybe one of these could help you find you own path or at least give you a rough idea of math as a whole, the big picture
>>16935279not OP, but i consider it formulating well-posed minimization/maximization problems and solving themfor example, in linear algebra you have things like gradient decent, conjugate gradient, krylov subspaces, regularization, etc.other types of optimization problems include variational calculus that you euler lagrange equations to find optimal functions through configuration spaces and applying constraints using techniques like lagrange multipliers
>>16935304neat. great rundown, thanks
>>16935041Sick humble brag, bro.
>>16935279mostly linear optimization, like simplex method for linear objective function and non-negative inequalities, and then we went into duals and complementary slackness. a bit of KKT at the end there too
>>16935322practically, one can phrase most physical models in terms of linear systems, and then solve them in a least squares sense by using the linear algebra stuff i mentionedit's painful to learn, but is incredibly useful and potent stuff
>>16935115>universal algebra>descriptive set theoryYou realize these are niche, mostly-dead topics that are almost always taught at grad level?
>>16935041>general topology>algebraic topology>complex analysis>mathematical logic
