NIRVANA VS. NIBBANA

Nirvana is a Sanskrit term in Hinduism referring to an individual's identification with and complete absorption into the Brahman. 

The prospective Brahman-knower sits meditating in profound stillness of mind, seeking to know, to know without question, not to have an opinion of or only a belief in,  but to be spiritually certain, that he and the world of sense about him are one and the same, that they share the same ground of being, Brahman. 

Nirvana frees a person from the cycle of birth, suffering, and death, and all other forms of worldly bondage. 

A supreme transcendental consciousness, it is also called Brahma-nirvana in the Bhagavad Gita, turiya in the Upanishads, nirbija samadhi in Yoga, and nirvikalpa samadhi in Vedanta.

When speaking of nirvana in Buddhism, the Pali term nibbana is often used.  While some Buddhists interpret nibbana as "dying out" or "extinction," as of a fire, others take the word to mean "he who has cooled," i.e. cooled from the fever of greed, hatred, and delusion, the three primary evils in Buddhist thought. 

The interpretation of nibbana as total extinction, or annihilation, the Buddha explicitly rejected.  While nibbana does not mean complete annihilation, nor does it mean that following death a person continues to exist in some form or another. 

Unlike Hinduism, Buddhism denies the existence of a soul, whether before or after death, holding at the same time that there is no supreme being, no Brahman.  All the same, nibbana is a blissful state.