The fundamental teaching of the four Vedus, the Bhagavat Gim, the Puranas and other religious texts of Hinduism, is not reincarnation, rebirth, but the ultimate liberation or salvation. In fact the necessity of transmigration is a nightmare for the Hindus77. The ultimate scope is moksha or multi, and in order to arrive at moksha, Hinduism proposes different ways (yoga or marga), by which one can reach spiritual perfection and finally eternal salvation of the soul: the way of action (karma-marga), the way of loving devotion towards God and abnegation (bhaktimarga), the way of concentration (raja yoga) and the way of spiritual knowledge (jnana-marga), of the non duality of Atmar' (the 'self' or the individual 'I') and Brahman (the Absolute).
According to the Advaiia Vedanta (the absolute non-dualism of Sankara) the only absolute reality is Brahman and the most intimate reality of man (the self or Atman) is the same Brahman. All the rest is maya, an illusion, a veil placed over by the same Brahman. Salvation or liberation consists precisely in the realization of A`man is Brahman through the jnana-yoga (marga). Only the one who is liberated knows the One (Absolute) and for the one who knows reincarnation is an illusion. Instead, the one who does not know, does not realize Atman is Brahman, continues to live in illusion and considers vam.sara as real.