Books and writing

Notebooks of Srinivasa Ramanujan: Two volumes, from his notebooks of 1903 to 1914 (1957)

Tata Institute of Fundamental Research, Bombay. He kept his results in notebooks from about 1903 until 1914. They hold close to 3,900 results, mostly without proof. G. N. Watson and B. M. Wilson began editing them after his death but never finished. The Tata Institute published them in two volumes in 1957. Bruce Berndt’s five-part edition, completed in 1998, supplied proofs or references for the claims.

MacTutor: Ramanujan, Srinivasa (Dictionary of National Biography entry) · Springer: Ramanujan’s Notebooks Part V by Bruce C. Berndt (1998) · Wikipedia: Srinivasa Ramanujan

Collected Papers of Srinivasa Ramanujan: Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson (1927)

Cambridge University Press. His published papers from Indian and British journals gathered in one volume. It includes his work with Hardy on partitions and his papers on highly composite numbers and series for π. It remained the standard source for his published work.

MacTutor: Ramanujan, Srinivasa (Dictionary of National Biography entry)

The Lost Notebook and Other Unpublished Papers: Facsimile edition of the loose pages found in 1976 (1987)

Narosa. Loose sheets from the last year of his life. More than 600 formulas without proof on 138 sides of paper. Most concern q-series and mock theta functions. About a third concern modular equations. Andrews and Berndt published proofs in five Springer volumes from 2005 to 2018.

Wikipedia: Ramanujan’s lost notebook · Uncovering Ramanujan’s “Lost” Notebook: An Oral History (arXiv 1208.2694)

Ramanujan’s Notebooks: Parts I to V, by Bruce C. Berndt (a book about his work) (1998)

Springer. Not written by Ramanujan. A five-part edition of the notebooks with proofs and sources for each claim. Part V, the last, covers the unorganised pages of the second and third notebooks. Springer calls Part V the fifth and final volume devoted to editing the notebooks.

Springer: Ramanujan’s Notebooks Part V by Bruce C. Berndt (1998)

Ramanujan’s Lost Notebook: Parts I to V, by George E. Andrews and Bruce C. Berndt (a book about his work) (2018)

Springer. Not written by Ramanujan. Statements and proofs for the formulas in the lost notebook. The first part appeared in 2005 and the fifth in 2018.

Wikipedia: Ramanujan’s lost notebook

Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, by G. H. Hardy (a book about him) (1940)

Cambridge University Press. Not written by Ramanujan. Hardy’s lectures on the mathematics he and Ramanujan shared. He weighs where Ramanujan was strong and where his lack of training showed.

MacTutor: Ramanujan, Srinivasa (Dictionary of National Biography entry) · Encyclopedia.com: Ramanujan, Srinivasa Aaiyangar

The Man Who Knew Infinity: A Life of the Genius Ramanujan, by Robert Kanigel (a book about him) (1991)

Charles Scribner’s Sons. Not written by Ramanujan. A double biography of Ramanujan and Hardy from Kumbakonam to Cambridge. It became the basis of the 2015 film of the same name with Dev Patel. Krishnaswami Alladi calls it a complete and accurate account. His one complaint is the space it gives to Hardy’s private life without evidence.

Krishnaswami Alladi (University of Florida): review of The Man Who Knew Infinity (Inference) · Wikipedia: Srinivasa Ramanujan

Overview · Life · Ideas · Books · Videos · Debates · People I learn from