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【ラマヌジャンのノート 第1部】

Ramanujan's Lost Notebook 2005th ed. H 441 p. 05

Andrews, George E., Berndt, Bruce C.  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月  数量 冊 
価格 特価  \31,726(税込)         

発行年月 2005年05月
出版社/提供元
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 XIV, 438 p.
ジャンル 洋書/理工学/数学/代数学
ISBN 9780387255293
商品コード 0200525224
本の性格 学術書
新刊案内掲載月 2005年09月
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200525224

内容

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms.

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