The Vedanta is a spiritual approach to life and the universe. A Sanskrit sentence 'Tat Tvam Asi', which basically means "THAT THOU ART", or "YOU ARE THAT"; forms the basic foundation of Vedanta by affirming that a person is not just a part of the universe, in fact, he IS the universe, the Self - in its original, pure, primordial state - is wholly or partially identifiable or identical with the Ultimate Reality that is the ground and origin of all phenomena.
This approach is no way religious, it is rather spiritual. It questions the existence of a separate God, by establishing the "soul" to be the all pervading energy of the universe, thus answering various mysteries. It is even said that Vedanta gives a credible explanation for the origin of the universe. Vedanta was, and is held in high regard by various mathematicians and physicists.
“This life of yours, which you are living, is not merely a piece of this entire existence, but in a certain sense the ‘whole’; only this whole is not so constituted that it can be surveyed in one single glance. This, as we know, is what the Brahmins express in that sacred, mystic formula of Vedanta which is yet really so simple and so clear: tat tvam asi, this is you. Or, again, in such words as I am in the east and the west, I am above and below, I am this entire world.” - Erwin Schrodinger.