The K-theory and the index theorem are studied in Atiyah's book K-theory (1967, reprinted 1989) and his joint work with G B Segal The Index of Elliptic Operators I-V in the Annals of Mathematics, volumes 88 and 93 (1968, 1971). Atiyah also described his work on the index theorem in The index of elliptic operators given as an American Mathematical Society Colloquium Lecture in 1973.
Ang K-teorya at ng index teorama ay aral sa Atiyah ng libro K-teorya (1967, reprinted 1989) at ang kanyang mga pinagsamang trabaho sa GB Segal Ang mga Index ng tambilugin operator IV sa Annals of Mathematics, volume na 88 at 93 (1968, 1971) . Atiyah din ng inilarawan sa kanyang trabaho sa index teorama sa Ang index ng tambilugin operator ibinigay bilang isang Amerikanong matematiko Society Colloquium panayam sa 1973.