>>13569105>muh love of appliedWhat are you talking about? Both linear algebra (matrix arithmetic, diagonalization, etc.) and real linear algebra (inner product spaces, spectral theory, etc.) are introductory math and introductory proof courses. Abstract algebra is an intermediate course typically taken after linear algebra. You will naturally see more people take linear algebra of any kind versus abstract algebra
>muh purity Linear algebra and abstract algebra are both pure math that has been applied extensively in science and engineering. Linear is used everywhere from optimization problems to google searches.
Ring theory is used everywhere in cryptography.
Field theory and algebraic number theory show up everywhere in error correcting codes.
Representations of groups shows up in fucking chemistry and spectroscopy because the irreps and their symmetries tell you exactly what these methods actually detect.
Most “pure” math taught in undergrad is not only fucking old, but well understood enough to be applied everywhere. Analysis is only so popular and prestigious in no small part because it took the effort that started with physics and ran with it. Combinatorics is now mature and popular because of computer science. Most math you like from undergrad has been applied 1000 times no matter how pure it’s presented.
