Not necessarily, at all. Advaita is supposed to be very rational and logical, and not require faith. Faith belongs to the path of Bhakti Yoga (faith/devotion to God), while Advaita is about the path of Jnana Yoga, the path of knowledge.
Also, the Wikipedia article about Advaita Vedanta seems to me to be somewhat poor, and factually wrong in parts, IMO, though I am not an expert on this. I may think this way because my family has some background knowledge about Advaita, Adi Shankara, Sanskrit and related subjects related to Hinduism, going back some generations, so I may have picked up some stuff by osmosis, apart from what I have read and studied and practiced myself.
It is about Advaita (Vedanta). Another good introduction to it is the Mandukya Upanishad: https://en.m.wikipedia.org/wiki/Mandukya_Upanishad
which, in just 12 verses, shows that we are neither body or mind but the witness of both.
Thomas byrom's "The Heart of Awareness" is a popular translation for a quick read.
If you want something denser with commentaries and explanations, Swami Nityaswarupananda's translation is great. Another good translation keeping western audiences in mind is Duet of One by Ramesh Balsekar.