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