What do mathematicians need to solve math problems well?
2006-12-16 19:17:42 · 7 answers · asked by summation 2 in Science & Mathematics ➔ Mathematics
A mathematician, as I would see it from my experience of doing math, should be able to:
1) Know the basics in many fields of mathematics including algebra, trigonometry, geometry, combinatorial reasoning, differential and integral calculus, series, vectors, linear algebra, abstract algebra, etc.
2) Have the ability to correctly read and understand proofs. In addition, he needs to spot errors in proofs. That is, he is a critical thinker and reader and logical evaluator.
3) Have imagination, especially when it comes to geometry and exploring a new horizon.
4) Read the history of many mathematicians and math events and work of old mathemtics and trying to relate it to modern mathematics.
5) Try to solve a problem in different ways or see that two ways are essentially the same. That is, having the insight when reading math works or answers to questions.
6) Be able to recognize math in non-math situations of life, spotting patterns and seeing relations, i.e., observing subtle patterns.
The way to gaining all that is reading, thinking, and most importantly doing mathematics.
2006-12-16 23:41:47 · answer #1 · answered by mulla sadra 3 · 0⤊ 0⤋
Your intelligence, yet if you consider which you're aside from the suggestions/suggestions that'd be excluded too. the main obligatory gadget could remember on what style of math you're doing. What kit you like for undemanding algebra does not be an analogous because of the fact the kit you may want for doing ap calculus.
2016-10-05 10:10:46 · answer #2 · answered by ? 4 · 0⤊ 0⤋
exponents, square roots, zeros, inverses, logs, reciprocals, slopes, derivatives, conjugates, intercepts, concavity, matrices, physics, factors, differences and addition, the alphabet which can be used as variables, numerals for values of variables, everything is seemingly friendly for mathematicians
2006-12-16 20:11:15 · answer #3 · answered by Zidane 3 · 0⤊ 0⤋
Capability of logical reasoning. Knowledge of rules and how to apply them. Umm... a strong left brain?
2006-12-16 19:41:29 · answer #4 · answered by Puggy 7 · 0⤊ 0⤋
TI-89
The solve function.
Yea thats pretty much it.
Good Luck!
2006-12-16 19:20:33 · answer #5 · answered by Matt W 3 · 0⤊ 0⤋
knowledge of known formulas and the ability to extrapolate
just like in life there are many ways to accomplish the same task...some easier,harder ....
2006-12-16 19:27:00 · answer #6 · answered by cyansure 4 · 0⤊ 0⤋
brain...
2006-12-16 19:20:24 · answer #7 · answered by Anonymous · 0⤊ 0⤋