Her most famous book On the Connexion of the Physical Sciences, which is mentioned in the article, is available in full on Archive.org and looks to be a rather interesting read [1].
[1] https://blogs.kent.ac.uk/sciencecomma/files/2015/04/whewell_...
[2] https://blogs.kent.ac.uk/sciencecomma/2015/04/09/whewell-and...
[3] https://www.oed.com/view/Entry/172698 (note: paywall, but generally the authoritative source)