02390nam 2200553 a 450 991078906830332120230725052600.01-283-23505-69786613235053981-4343-85-4(CKB)3400000000016745(EBL)840594(OCoLC)858228514(SSID)ssj0000538105(PQKBManifestationID)11358369(PQKBTitleCode)TC0000538105(PQKBWorkID)10557816(PQKB)11212665(MiAaPQ)EBC840594(WSP)00008129(Au-PeEL)EBL840594(CaPaEBR)ebr10493540(CaONFJC)MIL323505(EXLCZ)99340000000001674520110929d2011 uy 0engur|n|---|||||txtccrAn invitation to q-series[electronic resource] from Jacobi's triple product identity to Ramanujan's "most beautiful identity" /by Hei-Chi ChanSingapore World Scientific Pub. Co.20111 online resource (237 p.)Title from t.p. verso.981-4343-84-6 Includes bibliographical references and index.pt. 1. Jacobi's triple product identity -- pt. 2. The Rogers-Ramanujan identitites -- pt. 3. The Rogers-Ramanujan continued fraction -- pt. 4. From the "most beautiful identity" to Ramanujan's congruences.The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction - a result that convinced G H Hardy that Ramanujan was a "mathematician of the highest class", and (2) what G. H. Hardy called Ramanujan's "Most Beautiful Identity". This book covers a range of related results, such as several proofs of the famous Rogers-Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of technq-seriesq-series.515.243Hei-Chi Chan1558174MiAaPQMiAaPQMiAaPQBOOK9910789068303321An invitation to q-series3822319UNINA