From a book or class.
2007-02-02 05:28:59 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
There isn't one--just like other sciences, there is a point where math branches out, and has different subtopics. What is mean is, if you ask "what is the highest level of science" you don't get a useful answer, because chemsitry, physics, bio, etc. can all be equally complex, but different. Similarly, in math, there are subtopics all of which are equally "high" (say, fields like number theory, topology, etc.)
2007-02-02 05:32:29 · answer #1 · answered by Qwyrx 6 · 1⤊ 0⤋
There really isn't one. Once you get to a certain point of learning, you are doing research (and so are others). This means that there is always something new to learn. It is impossible to study every math subject in college (including grad school). If you go to a college library, you will hopefully see hundreds of books in mathematics. Most likely the library does not have a book on every subject in mathematics. You could also look in journals, most of which are published monthly or bimonthly.
2007-02-02 13:34:11 · answer #2 · answered by raz 5 · 0⤊ 0⤋
It gets harder to compare "levels" of mathematics when you start comparing one branch of mathematics to another. A mathematician who makes great discoveries and accomplishments in the field of, say, game theory, is not necessarily a better or worse mathematician than the one who gets a high level of noteriety for work in statistics. And there's just too much out there for one person to know and master everything that's out there in every single field. Likewise, it's hard to say whether a graduate class in number theory is a "higher" level of math than a graduate class in differential equations.
2007-02-02 13:42:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋
There is no limit, in theory. After a while, mathematics becomes very philosophical and theoretical. I had a math professor once whose focus was in quantum geometry, whatever the heck that is.
2007-02-02 13:31:41 · answer #4 · answered by Brian L 7 · 0⤊ 0⤋
Post doctoral research in any field of mathematics whether it be chaos theory or quantum mechanics, etc etc
2007-02-02 13:35:38 · answer #5 · answered by slider 2 · 0⤊ 0⤋
the highest level is 1+1 anyother one is additional knowledge
2007-02-02 14:22:18 · answer #6 · answered by yason 2 · 0⤊ 1⤋
Stuff like n-dimensional geometry, games and theory, advanced probability theory, etc.
2007-02-02 13:31:27 · answer #7 · answered by martin h 6 · 0⤊ 0⤋
Ninja maths - a combination of accuracy, precision & stealth!
2007-02-02 13:32:58 · answer #8 · answered by mindpasta 3 · 0⤊ 2⤋
theoretical quantum physics
2007-02-02 13:31:21 · answer #9 · answered by therernonameleft 4 · 0⤊ 0⤋
upto the height of his imagination and enterprise
2007-02-02 13:31:38 · answer #10 · answered by raj 7 · 0⤊ 0⤋