fury vs mania

fury and mania both are nouns.

Word	Noun	Adjective	Verb	Adverb
fury	Yes	No	No	No
mania	Yes	No	No	No

As nouns, mania is a hypernym of fury; that is, mania is a word with a broader meaning than fury:

fury: state of violent mental agitation
mania: a mood disorder; an affective disorder in which the victim tends to respond excessively and sometimes violently

Other hypernyms of fury include manic disorder.

fury (noun)	mania (noun)
the property of being wild or turbulent	an irrational but irresistible motive for a belief or action
a feeling of intense anger	a mood disorder; an affective disorder in which the victim tends to respond excessively and sometimes violently
state of violent mental agitation