Ramanujan: Essays and Surveys: Essays and SurveysAmerican Mathematical Soc., 2001 - 347 páginas This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes. Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on ``Ramanujan's Manuscripts and Notebooks''. Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's ``Ramanujan and pi'', and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series. |
Contenido
V | 3 |
VI | 9 |
VII | 17 |
VIII | 21 |
IX | 23 |
X | 25 |
XI | 29 |
XIII | 37 |
XXV | 103 |
XXVII | 105 |
XXVIII | 111 |
XXIX | 113 |
XXXI | 115 |
XXXIII | 127 |
XXXV | 141 |
XXXVI | 163 |
XV | 39 |
XVII | 64 |
XVIII | 75 |
XIX | 81 |
XX | 87 |
XXII | 93 |
XXIII | 97 |
XXIV | 99 |
XXXVIII | 185 |
XL | 199 |
XLI | 201 |
XLIII | 213 |
XLV | 259 |
XLVII | 275 |
323 | |
Términos y frases comunes
Aiyar algebraic algorithm Amer amoebiasis asymptotic B. C. Berndt basic hypergeometric series Berndt's book Borwein calculations Carr's Chapter Chowla class invariants coefficients congruence contains continued fraction converges cosh Dr Ram elliptic functions England Entry Euler example G. E. Andrews G. H. Hardy G. N. Watson give given H. H. Chan Hardy's hypergeometric functions identities Indian Math Indian Mathematical Indian Mathematical Society integral Janaki JIMS K. G. Ramanathan Kumbakonam later letter to Hardy Littlewood London Math lost notebook Madras Port Trust manuscript mathematicians Matlock mock theta functions modular equations Narayana Iyer Neville Number Theory partitions photograph polynomials problem Proc proof proved published q-series Question R. A. Rankin Ramanu Ramanujan's Notebooks Ramanujan's second notebook recorded references remarkable return to India Rogers-Ramanujan solutions Springer-Verlag Srinivasa Ramanujan theorem Trinity College University of Madras values volume wrote