Mendeley出力
＜図書＞
The shaping of arithmetic : after C.F. Gauss's Disquisitiones arithmeticae
| 責任表示 | Catherine Goldstein, Nobert Schappacher, Joachim Schwermer editors |
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| データ種別 | 図書 |
| 出版情報 | Berlin : Springer , c2007 |
| 本文言語 | 英語 |
| 大きさ | xi, 578 p. : ill., facsims. ; 24 cm |
| 概要 | The cultural historian Theodore Merz called it "that great book with seven seals," the mathematician Leopold Kronecker, "the book of all books": already one century after publication, C.F. Gauss's Dis...uisitiones Arithmeticae (1801) had acquired an almost mythical reputation, it had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the Disquisitiones Arithmeticae have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it. The 18 authors - mathematicians, historians, philosophers - who have collaborated on this volume contribute in-depth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being. Book jacket.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6977905 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | P 007/SHAP/1 | 2007 |
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023212006007494 |
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書誌詳細
| 一般注記 | Includes bibliographical references and idex |
|---|---|
| 著者標目 | Goldstein, Catherine Schappacher, Norbert Schwermer, Joachim, 1950- |
| 件 名 | LCSH:Gauss, Carl Friedrich, 1777-1855. Disquisitiones arithmeticae LCSH:Number theory |
| 分 類 | LCC:QA241 DC22:512.7 |
| 書誌ID | 1001236086 |
| ISBN | 9783540204411 |
| NCID | BA80159931 |
| 巻冊次 | ISBN:9783540204411 |
| NBN | 03,N46,095 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |