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Ramanujan: Essays and Surveys
About this Title
Bruce C. Berndt, University of Illinois, Urbana-Champaign, IL and Robert A. Rankin, University of Glasgow, Glasgow, Scotland, Editors
Publication: History of Mathematics
Publication Year:
2001; Volume 22
ISBNs: 978-0-8218-2624-9 (print); 978-1-4704-3890-6 (online)
DOI: https://doi.org/10.1090/hmath/022
MathSciNet review: MR1862732
MSC: Primary 01A70; Secondary 00B60, 11-03, 33-03, 33C05, 33C20, 33D15
ReadershipTable of Contents
Front/Back Matter
- Bruce C. Berndt – The four photographs of Ramanujan
- Bruce C. Berndt and Robert A. Rankin – The books studied by Ramanujan in India
- Bruce C. Berndt – The influence of Carr’s synopsis on Ramanujan
- Bruce C. Berndt – The notebooks of Srinivasa Ramanujan
- A recently discovered letter giving Ramanujan’s examination scores
- S. Chandrasekhar – On Ramanujan
- Robert A. Rankin – The Ramanujan family record
- Robert A. Rankin – Ramanujan as a patient
- D. A. B. Young – Ramanujan’s illness
- S. Chandrasekhar – An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel
- Bruce C. Berndt – S. Janaki Ammal (Mrs. Ramanujan)
- Conversation “I didn’t understand his work, but I knew his worth”
- Bruce C. Berndt – A short biography of S. Narayana Iyer
- S. Narayana Aiyar – The distribution of primes
- S. Narayana Aiyar – Some theorems in summation
- E. H. Neville – Srinivasa Ramanujan [redacted]
- University lectures in Madras
Ramanujan’s manuscripts and notebooks
- Robert A. Rankin – Ramanujan’s manuscripts and notebooks
- Robert A. Rankin – Ramanujan’s manuscripts and notebooks, II
- Bruce C. Berndt – An overview of Ramanujan’s notebooks [redacted]
- George E. Andrews – An introduction to Ramanujan’s “lost” notebook
Nontechnical articles on Ramanujan’s work
- Jonathan M. Borwein and Peter B. Borwein – Ramanujan and pi [redacted]
- Bruce C. Berndt – $\pi $ related developments since 1988
- Atle Selberg – Reflections around the Ramanujan centenary
- Bruce C. Berndt, Youn-Seo Choi and Soon-Yi Kang – The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society
Somewhat more technical articles on Ramanujan’s work
- Freeman J. Dyson – A walk through Ramanujan’s garden
- R. Askey – Ramanujan and hypergeometric and basic hypergeometric series
- G. N. Watson – The final problem: An account of the mock theta functions