Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I'm a second year student entering 3rd year with an interest in physics and mathematical physics. Foolishly I decided not to enrol in the second year pure mathematics course ``real and complex analysis''. My current mathematical knowledge comprises the following

First year:

Differential Calculus (Advanced)

Linear Algebra (Advanced)

Integral Calculus and Modelling (Advanced)

Statistics (Advanced)

Second year:

Linear Mathematics & Vector Calculus (Advanced)

Partial Differential Equations Intro (Advanced)

Algebra (Advanced) [a course in group theory]

I am thinking about majoring in physics and pure mathematics, with the following 3rd year maths courses. The course descriptions can be found in the handbook http://www.maths.usyd.edu.au/u/UG/SM/hbk06.html [Broken]

Metric Spaces (Advanced)

Rings Fields and Galois Theory (Advanced)

Differential Geometry (Advanced)

Modules & Group Representations (Advanced)

Interestingly, none of these courses require knowledge of analysis. So it is possible to major in pure maths without having done any analysis whatsoever. I can't help but feel that my lack of analysis training will come back to haunt me, which is why I'm also considering the following, less interesting combination of courses

Analysis (Normal)

Rings Fields and Galois Theory (Advanced)

Complex Analysis with Applications (Advanced)

Modules & Group Representations (Advanced)

Note that the normal analysis course does not technically satisfy the assumed knowledge for complex analysis, but the lecturers inform me that I ``might be okay'' if I do very well in the normal course and do some extra work in my own time. Of course, this means dropping differential geometry, which I'm not too keen about due to its obvious connections with general relativity. I guess what it boils down to is whether topology or analysis is considered more important in physics. I would appreciate any advice you may be able to give on this question and/or my course selections.

Thanks,

James.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Topology/Differential geometry versus analysis

**Physics Forums | Science Articles, Homework Help, Discussion**