<電子ブック>
Ramanujan’s Notebooks : Part IV / by Bruce C. Berndt
版 | 1st ed. 1994. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 1994 |
大きさ | XII, 451 p : online resource |
著者標目 | *Berndt, Bruce C author SpringerLink (Online service) |
件 名 | LCSH:Mathematics FREE:Mathematics |
一般注記 | 22 Elementary Results -- 23 Number Theory -- 24 Ramanujan’s Theory of Prime Numbers -- 25 Theta-Functions and Modular Equations -- 26 Inversion Formulas for the Lemniscate and Allied Functions -- 27 q-Series -- 28 Integrals -- 29 Special Functions -- 30 Partial Fraction Expansions -- 31 Elementary and Miscellaneous Analysis -- Location in Notebook 2 of the Material in the 16 Chapters of Notebook 1> -- References During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they 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 fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in Ramanujan's second notebook as well as a description of his quarterly reports. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks. For those results that are known, references in the literature are provided. Otherwise, complete proofs are given. Over 1/2 of the results in the notebooks are new. Many of them are so startling and different that there are no results akin to them in the literature HTTP:URL=https://doi.org/10.1007/978-1-4612-0879-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461208792 |
|
電子リソース |
|
EB00206688 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降