u/Ceramidee

i like doing geometry, especially linear algebra, and also polar geometry, calculus, differential eqs, dynamical systems. im interested in learning more geometry, such as differential geometry, topology in uni. ive always been interested in observing abstract maths manifesting in real life.

i am accepted in doing theoretical physics in a few months, but i fear physics will be too observation first, and labs pmo because of its imperfection and the limits of measurement, hence why im considering switching course.

i also dont like logic for the sake of logic, especially number theory, whenever a question asks abt fibonacci numbers, prime numbers, roots of polynomials it pmo too, similarly w newtonian mechanics, its just the way they phrase hinges and levers and rods and how discontinuous the math in newtonian mechanics is, and how much idc abt applications of physics and engineering.

do yall think stats would fit my interests in geometry more? (pls ask me wtv tho i feel like ive not mentioned a lot of background but i wanna keep the post concise)

also idk how to tag, im guessing i write the tag in title?

im going to do my undergrad this september in the uk for theoretical phy and im worried i made the wrong choice.

ive always been rlly drawn to math, but very uninterested in anything to do w *number theory* (ao anything to do w primes, solutions to polynomials etc), *combinatorics* without applications (applications of it such as leibnitz theorem for differentiation is kinda cool but it on its own is kinda ass), *abstract algebra* (without geometric interpretations and just treating it as algebraic structures)

im particularly good at and interested in *vectors and linear algebra* (having followed david c lays book linear algebra and its applications it basically became my fav part of math), and having self studied *surfaces and cylindrical surfaces* they are rlly cool too, so basically anything w a geometric and spacial aspect to it is rlly nice. generalising our properties of our dimension to other dimensions is literally the coolest concepts ive learned abt.

the geometric interpretation of the taylor series is also cool af, w how it basically aims to define every derivative of a function at a point w a polynomial to fit any function, similarly w the fourier series

quite disconnected from the above but i also enjoy calculus, solving integrals and limits etc which dont have immediate links to anything physical, i do kinda like the logic aspect of calculus too.

i also enjoy having more abstract math fitting experimental results, such as when i wrote an essay on modelling chemistry reaction kinetics w coupled odes, but what would be way cooler is observing quantum effects i predict using abstract algebra or smt turning out to be exactly how i have it on paper.

what i dont like abt phy is a lot of it in the first year and rn is literally proportionalities, like F being proportional to m and a, Q proportional to m,c,Delta T, those could be derived from experimental results directly without logic added to them and its not particular exciting to me that those experiments fit those equations, so im worried im going to find the earlier physics in uni before lagrangians and hamiltonian mechanics rlly dull.

from the above yall would prob notice i rarely do further reading on physics, and just math, as i rlly havent found an area of physics id voluntarily read in my free time, the math has always been more enjoyable

is it worth trying to switch to pure math instead, since pure math still has hella phy modules normally, and w relativity, fluid, and quantum modules in the later years, or would theoretical phy still be enjoyable?

im going to do my undergrad this september in the uk for theoretical phy and im worried i made the wrong choice.

ive always been rlly drawn to math, but very uninterested in anything to do w *number theory* (ao anything to do w primes, solutions to polynomials etc), *combinatorics* without applications (applications of it such as leibnitz theorem for differentiation is kinda cool but it on its own is kinda ass), *abstract algebra* (without geometric interpretations and just treating it as algebraic structures)

im particularly good at and interested in *vectors and linear algebra* (having followed david c lays book linear algebra and its applications it basically became my fav part of math), and having self studied *surfaces and cylindrical surfaces* they are rlly cool too, so basically anything w a geometric and spacial aspect to it is rlly nice. generalising our properties of our dimension to other dimensions is literally the coolest concepts ive learned abt.

the geometric interpretation of the taylor series is also cool af, w how it basically aims to define every derivative of a function at a point w a polynomial to fit any function, similarly w the fourier series

quite disconnected from the above but i also enjoy calculus, solving integrals and limits etc which dont have immediate links to anything physical, i do kinda like the logic aspect of calculus too.

i also enjoy having more abstract math fitting experimental results, such as when i wrote an essay on modelling chemistry reaction kinetics w coupled odes, but what would be way cooler is observing quantum effects i predict using abstract algebra or smt turning out to be exactly how i have it on paper.

what i dont like abt phy is a lot of it in the first year and rn is literally proportionalities, like F being proportional to m and a, Q proportional to m,c,Delta T, those could be derived from experimental results directly without logic added to them and its not particular exciting to me that those experiments fit those equations, so im worried im going to find the earlier physics in uni before lagrangians and hamiltonian mechanics rlly dull.

from the above yall would prob notice i rarely do further reading on physics, and just math, as i rlly havent found an area of physics id voluntarily read in my free time, the math has always been more enjoyable

is it worth trying to switch to pure math instead, since pure math still has hella phy modules normally, and w relativity, fluid, and quantum modules in the later years, or would theoretical phy still be enjoyable?

theres up to £6k,7k,8k,9k,10k,11k,12k+ and i am fine w every one of those.

low budget might mean shit room and high budget might mean im living w posh and rlly rich kids

do i choose a relative middle ground and go for £10k?