关键词: 拉马努金, 哈代, 印度数学, 英国数学, 东西方文化

Abstract: Ramanujan who lived in the late 19th and early 20th century was one of the most famous mathematicians in Indian history. His leap of intuition puzzled even todays mathematicians, and the theorems he discovered were applied to various fields. Hardy, as his teacher and friend, was a famous British mathematician who had a classic collaboration with him in the history of science. Hardy believed that Ramanujan not only learned mathematics, but more importantly discovered and created it. Hardy thought his greatest achievement in mathematics was his discovery of Ramanujan. Ramanujan, with his traditional Indian culture and national mathematical tradition background, came to Cambridge, and then the two mathematicians from totally different cultural backgrounds and beliefs, after going through different opinions until identity, finally achieved academic and spiritual integration under the cultural impact of the east and the west. Through the analysis of this historical academic process, the significance and value of the integration and regression of the eastern and western cultures are discussed.

Key words: Ramanujan, Hardy, Indian mathematics, English mathematics, eastern and western culture