
View Poll Results: Which is most interesting, or which are you best at?  
Discrete Math (such as Number Theory)  11  39.29%  
Algebra (Group Theory, Linear Algebra, Abstract Algebra)  3  10.71%  
Analysis (Calculus, The Real Line, Differential Equations)  5  17.86%  
Geometry/Topolgy  1  3.57%  
Statistics/Computation  4  14.29%  
Other (please post)  4  14.29%  
Voters: 28. You may not vote on this poll 

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20111028, 16:45  #1 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
16065_{8} Posts 
What kind of math do you prefer?
It's time I contributed here.
I'm often lost in the theory around here because discrete, integer, number theory stuff just aint my thing. What do you all like? (And please don't all respond Number Theory.) Edit: I've just pegged myself as a complete and total American. Analysis type stuff is the only stuff I've studied in depth, which means basic differential calculus and partway through a DiffEq course. I also have taken a Linear Algebra course, though I thought the coolest part of that was extending inner products to functions, which according to this falls under Harmonic Analysis. Last fiddled with by Dubslow on 20111028 at 16:50 
20111028, 18:27  #2 
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
37·313 Posts 

20111028, 18:29  #3  
Banned
"Luigi"
Aug 2002
Team Italia
4848_{10} Posts 
Quote:
Luigi 

20111028, 18:51  #4 
Jun 2003
7·167 Posts 

20111028, 18:56  #5 
Jun 2003
7·167 Posts 
I wouldn't dare to claim to have studied anything "in depth", given the company.
Topics I've barely scratched the surface of include abstract algebra, topology, set theory, category theory, logic, and of course, number theory. 
20111028, 19:12  #6 
Banned
"Luigi"
Aug 2002
Team Italia
2^{4}×3×101 Posts 

20111028, 19:23  #7 
"Frank <^>"
Dec 2004
CDP Janesville
84A_{16} Posts 

20111028, 20:23  #8 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3×29×83 Posts 
Consider it in depth compared to how much I've studied anything else. And it's also the most interesting for me. Inner products with integrals on polynomials is much cooler than matrices. Those are just icky.
Last fiddled with by Dubslow on 20111028 at 20:31 
20111028, 21:03  #9 
"Richard B. Woods"
Aug 2002
Wisconsin USA
1111000001100_{2} Posts 

20111028, 22:13  #10  
"Bob Silverman"
Nov 2003
North of Boston
16510_{8} Posts 
Quote:
e.g. Rudin's "Principles of Mathematical Analysis" as a solid introduction to analysis. All you have studied is a basic intro to calculus. Have you e.g. worked through a proof of the intermediate value theorem? Can you prove the chain rule for derivatives? Can you perform epsilondelta proofs for evaluating limits? Do you know what it means for the reals to be complete? Do you understand the construction of the reals by Dedekind cuts or Cauchy sequences? Do you know what Borel measure is? Lebesgue Measure? Do you know the difference between a Riemann and Stieljes integral? You say that you have studied diffeqs. Do you know how to do an existence proof [i.e. that a function satisfying a diffeq exists?] Have you looked at analytic continuation of functions? Cauchy's residue theorem, Picard's theorem?? No?? You have bare scratched the surface in your study of analysis. Last fiddled with by R.D. Silverman on 20111028 at 22:14 Reason: fix pagination 

20111028, 23:08  #11  
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
7221_{10} Posts 
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Keep in mind I turned 18 two months ago and have four years of undergraduate college ahead of me. I'm not even a math major. (Though I tried double majoring) (4 years minus half a semester, really.) Last fiddled with by Dubslow on 20111028 at 23:28 

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