"The history of Buddhism spans from the 6th century BCE to the present. Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama. The religion evolved as it spread from the northeastern region of the Indian subcontinent through Central, East, and Southeast Asia. At one time or another, it influenced most of the Asian continent. The history of Buddhism is also characterized by the development of numerous movements, schisms, and schools, among them the Theravāda, Mahāyāna and Vajrayāna traditions, with contrasting periods of expansion and retreat."
(from Wikipedia)
Taranatha's History of Buddhism in India
The Rise and Decline of Buddhism in India (file size: about 20 MB)