MARC Record from harvard_bibliographic_metadata

LEADER: 02436nam a22003855a 4500
001 013840471-2
005 20131206201750.0
008 121227s1989 xxu| s ||0| 0|eng d
020 $a9781461245308
020 $a9781461245308
020 $a9781461288657
024 7 $a10.1007/978-1-4612-4530-8$2doi
035 $a(Springer)9781461245308
040 $aSpringer
050 4 $aQA241-247.5
072 7 $aPBH$2bicssc
072 7 $aMAT022000$2bisacsh
082 04 $a512.7$223
100 1 $aBerndt, Bruce C.,$eauthor.
245 10 $aRamanujan’s Notebooks :$bPart II /$cby Bruce C. Berndt.
264 1 $aNew York, NY :$bSpringer New York,$c1989.
300 $aXI, 359p. 3 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
505 0 $aIntroduction -- Hypergeometric Series, I -- Hypergeometric Series, II -- Continued Fractions -- Integrals and Asymptotic Expansions -- Infinite Series -- Asymptotic Expansions and Modular Forms -- References -- Index.
520 $aDuring the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas.
650 20 $aNumber theory.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aNumber theory.
776 08 $iPrinted edition:$z9781461288657
988 $a20131119
906 $0VEN