Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work

G. H. Hardy0821820230, 9780821820230

Книга Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work Книги Математика Автор: G. H. Hardy Год издания: 1999 Формат: djvu Издат.:Ams Chelsea Pub. Страниц: 254 Размер: 11,9 Mb ISBN: 0821820230 Язык: Английский0 (голосов: 0) Оценка:Ramanujan occupies a unique place in analytic number theory. His formulas, identities, and calculations are still amazing three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. His mentor and primary collaborator was the famous G. H. Hardy. Here, Hardy collects twelve of his own lectures on topics stemming from Ramanujan’s life and work. The topics include partitions, hypergeometric series, Ramanujan’s $tau$-function and round numbers. Hardy was the first to recognize the brilliance of Ramanujan’s ideas. As one of the great mathematicians of the time, it is fascinating to read Hardy’s accounts of their importance and influence. The book concludes with a chapter by chapter overview written by Bruce C. Berndt. In this overview, Berndt gives references to current literature, developments since Hardy’s original lectures, and background information on Ramanujan’s research, including his unpublished papers.