Diffrence between a transform a map

[dionysian]

Is there a diffrence between a map and a transform or are they the same thing? My math book uses the term map but i studyed transforms in lin alg and they seem like the same thing. please help me get this straight in my head.

 

[Eighty]

Depends on the book/subject. function, map, transform and operator are usually synonyms, but some books define one of the latter to be something special, if it's used a lot. E.g. a map may be defined to be a continuous function, or a homeomorphism. Transforms and operators are usually linear functions.

If the book doesn't explicitly define it, just assume it means function. Read some of the proofs to see if any special properties are implicitly assumed, eg continuity or linearity.