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shawnmmcc
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I know that those are the branches of math used to solve those equations - but if you look at the actual math, and what is currently taught in a sophmore college level class on differential equations, you are talking significantly higher levels of application. Yes, if you are gifted at math you could probably derive almost all of that by simply stopping at DiffE. For those of us not nearly as gifted, post-DiffE courses, if you wish, further guidance on applying the theory, can be very helpful.
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Lul Thyme
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Quebec, Canada
Aug 2000
time: 05:34
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quote:
Originally posted by TCO
1. What is finite math (simple terms)?
2. I guess I'm interested in some of that grant time discussion. Save the obvious lies just to get money. But to discuss, what the stuff is good for interests me. Oh...and there is a lot of higher math that is not new math to the world.
3. OR, travelling salesman, etc. interests me. |
Whats OR?
finite math, doesnt have a real definition.
But math is often separated into 2 big main areas.
Those that deal with finite objects and those that deal with infinite ...
Its very broad and not precise but something like
in
A :finite abstract algebras (groups, rings etc), finite combinatorial structures (graphs, designs, geometries...)
B: Most of Analysis, Topology, Diff. Geometry (even though most of these can be defined on finite structures, the most interesting ones are often infinite)...
Not that I dont care about Topology and analysis, its just my prime are of research and interest in algebraic graph theory, sort of in between group theory and graph theory....
REAL applications, are mainly in the field of computer science or close I would say...
Although combinatorial structures can be used for so many things, tournament designs, circuit board designs (graph embedings), the list would be very long...
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Lul Thyme
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Quebec, Canada
Aug 2000
time: 05:34
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What do you mean about higher math not being new math to the world?
you mean being old as in being discovered a long time ago?
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Vesayen
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You can learn how to think at higher levels without doing complicated math.... AND you can learn practical things at the same time!
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Lul Thyme
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Quebec, Canada
Aug 2000
time: 05:34
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"Higher math" can be all but complicated.
It is abstract, unifying, and can be seen as a basic example of what you call "thinking at higher levels".
Group theory can be applied to symmetries of polygons, particle of physics, networs of computer...
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TCO
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Richmond, VA
Jan 1970
time: 00:34
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quote:
Originally posted by Lul Thyme
Hum I enjoy many areas of mathematics, but probably mostly finite ones (finite algebras, combinatorics etc...).
I am not sure about the Rolling Stones, I know I use to think I knew almost all math in High School, when now, after years of pure math training, I think I know less and less respectively to what there is to know, and I learn what a huge and impressive building of knowledge mathematicians have constructed over the years.
What is worth learning and what is useful are two completly different questions.
Thirst for knowledge in the human cannot be always be linked to usefullness, in mathematics or otherwise...
If you want to know what "higher" mathematics is useful for...
Cryptography and coding is 100% based on it, computer science at its root, almost all of physics...
It really depends what you consider "higher" mathematics, I have not included basic linear algebra and calculus in the above applications (if you do, you can add all of science, art, and almost all human construction of the minds basically)
I want to stress, that most mathematicians do not really think about applications of their personnal research.
They do it because they like it, and they feel what they are doing is like a brick in the big building.
Now it just happens that the building as a whole underlies basically all scientific research, but mathematicians as individuals do not really spend much time looking for "real world" applications to their research, except maybe at grant time. |
what is stochastic calculus and how is it useful in finance?
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TCO
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Richmond, VA
Jan 1970
time: 00:34
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quote:
Originally posted by Lul Thyme
Whats OR?
finite math, doesnt have a real definition.
But math is often separated into 2 big main areas.
Those that deal with finite objects and those that deal with infinite ...
Its very broad and not precise but something like
in
A :finite abstract algebras (groups, rings etc), finite combinatorial structures (graphs, designs, geometries...)
B: Most of Analysis, Topology, Diff. Geometry (even though most of these can be defined on finite structures, the most interesting ones are often infinite)...
Not that I dont care about Topology and analysis, its just my prime are of research and interest in algebraic graph theory, sort of in between group theory and graph theory....
REAL applications, are mainly in the field of computer science or close I would say...
Although combinatorial structures can be used for so many things, tournament designs, circuit board designs (graph embedings), the list would be very long... |
1. Operations Research=OR
2. Go on a little more. What in computer science? and what and how in those otehr things.
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Ramo
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Austin, Texas, USA
Oct 1999
time: 23:34
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I actually rannn. itno an interresting applicationo fo complex analysis a couple weeks goo. The ideo is that if you take a line integral around a single singlurar point (where the function goes toinfinitity) of f(z)*(z - z0), where z0's th esingulr point, tyou get xero. So if yo7=u're trying to find a root of a given function, you construct a second function that goes to infinity (say, 1/the first function, for instance), and pick a path that inclues only a single zero, you'll get 0. So you can trivially solve for the root in terms fo the integral around this path of f(z) and z*f(z). Co7urse the keuy is to pick the right path. I scoff at yuour pitifufl Netwont's method. Scoff.
Anyways, this my drunk post for hte knightl.
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