Mathematics, Mathematics
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Overview
Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.
Editorials
Booknews
"Ramanujan studies" have recently--and happily--become something of an industry; several mathematicians are presently devoting their professional energy to the explication of inspired insight and unearthly beauty long buried in Ramanujan's notebooks (themselves recently published, in photo-facsimile, for the first time). The present volume represents the continuation of a projected four-part series, by a mathematician associated with the University of Illinois. In six chapters it treats notebook entries pertaining to hypergeometric series, continued fractions, integrals and asymptotic expansions, infinite series, asymptotic expansions and modular forms. Chapters begin with an introductory essay, followed by notebook entries, proofs, corollaries and remarks, an overall objective being to detect and expose the pattern of Ramanujan's argument (at this point still frequently elusive). (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)Book Details
Published
December 31, 2012
Publisher
Springer-Verlag New York, LLC
Pages
523
Format
Paperback
ISBN
9781461269632