need reply as soon as possible...
2007-06-12 22:42:02 · 3 answers · asked by reddish 3 in Science & Mathematics ➔ Mathematics
Because it deals not with numbers, but with relationships between sets of things under various operations. These things can be numbers, but they don't have to be. And the operations defined on them can be the usual arithmetic operations, but they don't have to be. All they have to do is obey some fairly simple rules.
Doug
2007-06-12 22:48:35 · answer #1 · answered by doug_donaghue 7 · 2⤊ 0⤋
nice answer doug.
Yes, abstraction is about generalisations, where things like the real number system with its axioms just become a special case.
The advantage of abstraction is that once we prove that something holds true in general, then it becomes true for all special cases.
I can give simple example from high school mathematics.
The proof of the derivative of product of two functions
we prove it always to be u'v + v'u.
Now x^2cos x just becomes a special case.
Now will someone try answering my question if you can? I am totally stuck
2007-06-12 23:39:06 · answer #2 · answered by Anonymous · 1⤊ 0⤋
minus
2007-06-12 22:50:45 · answer #3 · answered by surya 2 · 0⤊ 1⤋