culinary art vs cooking

culinary art and cooking both are nouns.

Word	Noun	Adjective	Verb	Adverb
culinary art	Yes	No	No	No
cooking	Yes	No	No	No

As nouns, cooking is a hypernym of culinary art; that is, cooking is a word with a broader meaning than culinary art:

culinary art: the practice or manner of preparing food or the food so prepared
cooking: the act of preparing something (as food) by the application of heat

Other hypernyms of culinary art include cookery, preparation.

culinary art (noun)	cooking (noun)
the practice or manner of preparing food or the food so prepared	the act of preparing something (as food) by the application of heat