What happens with Geometry?

Lobachevskian geometry is 3rd year material in Russia desu.

>>8950165
> why is there such an absence of non Euclidean geometry in undergraduate

My school offers a non-euclidean geometry class in 3rd year (as well as more normal geometry class and a differential geometry class).

for non-euclidean geometry it requires complex variables, which requires calc 3 and real analysis 1.

>>8950185
>>8950186

I've seen some third or fourth year courses in some non euclidean geometry in the universities around me, but these courses spend a lot of time on Euclid's postulates, axioms, etc, and leave the non-Euclidean material in the last few weeks of the term.

I do understand some complex analysis is required, but there's other kinds of subjects in geometry that I've read about on Wiki and other sites that started my curiosity. These include studying the algebra of isomorphisms between projective spaces and other algebraic structures like Hilbert spaces, for example that I was curious to know more about

>>8950215

We do projective geometry in the Geometry class as well as a combinatorics class. I didn't take the non-euclidian course but I think it's mostly about non-euclidean geometry, since I would imagine that other stuff would be in just Geometry not Non-Euclidean Geometry.

For context this is in Canada, not America though, if that makes any difference.

>>8950165
>Discrete Math

brainlet plz

>>8950215
My uni (UK) has a third year course on geometry that looks at some basic Euclidean, projective and hyperbolic geometry (maybe some more? Can't remember) requires complex analysis

>>8950165
>why is there such an absence of non Euclidean geometry in undergraduate?

Such geometry is better viewed from a more modern point of view. i.e. differential geometry

>but I've never heard of "starting books" for geometry.

Hartshorne actually has a really good book on basic geometry. It mixes in some field theory which is pretty cool.

My school gives two first year obligatory geometry curses for math majors. One on Descartes's analytic geometry and another one on Eucludean and non-Euclidean geometry. It's supposed to be the best university for studying math in my country, but then again, my country is Mexico so...

>>8950566
which university do you go to? Mexico has some good schools, mathematicians, and some well known mathematicians like Jacob Lurie lecture there from time to time

>>8950415
thanks for the recommendation! I was curious about more books that use some basic algebraic structures in the study of projective/discrete geometry