Question

what is a field?

Answer 1

A field in algebra is a set along with addition and multiplication satisfying the following axioms:

1) Existence of additive and multiplicative identities
2) Existence of additive and multiplicative inverses
3) Associativity of addition and multiplication
4) Commutativity of addition and multiplication
5) Distributivity of multiplication over addition
6) Closure under the defined operations

Answer 2

If a function defines a field ,what does this mean? field is the domain or co-domain of that function?

Answer 3

If you are talking about vector and scalar fields, those are different things than the field I defined above.

Answer 4

i am talking abt vector field.

Answer 5

http://en.wikipedia.org/wiki/Vector_field