Geometry or Algebra?

Which one?

  • Geometry

    Votes: 2 9.5%
  • Algebra

    Votes: 13 61.9%
  • Heck, I'm good at both !

    Votes: 6 28.6%

  • Total voters
    21
  • #1
For alot of people, they either excel in one and suck at the other. I'm more of an algebra person even though I'm cutting my throat as I say that as its good to get exposed to other branches of math regarding geometry. So which do you consider yourself better in?
 

Answers and Replies

  • #2
478
2
Although physics requires a lot of both, I prefer algebra. Geometry is fun as well!
 
  • #3
Math Is Hard
Staff Emeritus
Science Advisor
Gold Member
4,527
28
This is one of the things I am hoping to eventually study - if people truly tend toward one or the other. I always had to work my tail off in algebra, but geometry was a piece of cake. I think I skipped about a third of my geometry classes and barely cracked a book. It just all seemed very "obvious" if you knew the formulas and followed the logic.
 
  • #4
I like geometry more, but I still really like algebra. I'm a little better at algebra, and that's probably one of the reasons I like geometry more -- I get more of a challenge!
 
  • #5
Zurtex
Science Advisor
Homework Helper
1,120
1
I prefer tackling any problem I can with Algebra, just seems to make more sense to me.
 
  • #6
175
0
I wish i was good at geometry :(

then again, i wish i was good at algebra as well.

bah!!
 
  • #7
Gypsy
I like algebra more than geometry, but I voted for geometry because I never had trouble understanding anything taught in my geometry class. I still don't conceptually understand inequalities and abolute value as much as I think I should.
 
  • #8
mathwonk
Science Advisor
Homework Helper
2020 Award
11,092
1,294
I like geometry. It seems easy to me, as I am able to visualize things and just sit back and play with the concepts pleasurably for a long time. Algebra to me is work, but very elegant and powerful. I always felt weak and inadequate at algebra, but I worked at it enough to take first prize in a statewide algebra contest as a senior in high school.

In order to maximize my abilities and also my challenges, I chose to specialize in algebraic geometry, where I would be able to use my instinctive geometry gifts, and yet have to exercise my algebra muscles as well.

To an non algebraist I might seem like a fairly knowledgable algebraist, (I had one of the best possible algebra teachers, Maurice Auslander, and for some reason, maybe the name of my specialty I am often asked to write the algebra PhD prelim exam), but to me geometry is second nature, and algebra is somewthing to be learned. I am still trying to get the concepts of sheaf cohomology down into my pores where the geometry seems to have been stamped at my birth.

After decades of struggle I am beginnig to see that an equation has much more information than a mere geometric picture. This is the essence of scheme theory.

To me algebraic and moreso differential topology are relatively easy, being aspects of the most fundamental side of geometry. I love especially differential geometry, but feel challenged more by algebraic geometry, which uses the tools of essentially all other subjects, topology, differential calculus, complex analysis, and algebra, especially homological algebra, to study the most basic objects, the geometry of solutions of equations.

At times, even coding theory plays a role in algebraic geometry, but statistics not so much.
 
  • #9
Janitor
Science Advisor
1,099
1
Algebra didn't get to be really interesting to me until I started reading on my own about Universal Algebra, and began to see the nesting structure (better terminology?) of specific algebras such as groups, monoids, groupoids, rings, loops and so forth.
 

Related Threads on Geometry or Algebra?

  • Last Post
Replies
3
Views
2K
Replies
1
Views
457
Replies
10
Views
9K
  • Last Post
Replies
4
Views
347
  • Last Post
Replies
4
Views
3K
  • Last Post
2
Replies
37
Views
8K
Replies
6
Views
3K
  • Last Post
Replies
5
Views
4K
Replies
4
Views
13K
Replies
1
Views
3K
Top