2004-12-16, 02:53 | #1 |
May 2004
2^{2}·7·11 Posts |
Maths Tutorials -I
What has prompted me to submit this is the minimal response to Maths Quiz-II.
GROUP THEORY A Group consists of only two things: 1) A Set and 2) an operation. The operation can be plain addition,plain multiplication,Matrix addition or multiplication, or any other operation to be explicitly specified. Now the following conditions must be fulfilled: 1) An operation on a member of the set must yield a member of the set (This property is called CLOSURE ) 2) Must have ASSOCIATIVE property 3) Must have a Neutral or IDENTITY element 4)Existence of INVERSE Collectively this can be remembered by acronym: CAIN Populaar example: Integers with operation: addition Will be only too happy to elucidate further. A.K. Devaraj |
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