coin collection vs numismatics

coin collection and numismatics both are nouns.

Word	Noun	Adjective	Verb	Adverb
coin collection	Yes	No	No	No
numismatics	Yes	No	No	No

As nouns, coin collection and numismatics are synonyms defined as:

coin collection and numismatics: the collection and study of money (and coins in particular)

Other synonyms of coin collection include coin collecting, numismatology.

coin collection (noun)	numismatics (noun)
the collection and study of money (and coins in particular)	the collection and study of money (and coins in particular)
a collection of coins