Mendeley出力
＜図書＞
Elementary number theory : primes, congruences, and secrets : a computational approach
| 責任表示 | William Stein |
|---|---|
| シリーズ | Undergraduate texts in mathematics |
| データ種別 | 図書 |
| 出版情報 | New York, N.Y. : Springer , c2009 |
| 本文言語 | 英語 |
| 大きさ | x, 166 p. : ill., ports. ; 25 cm |
| 概要 | The systematic study of number theory was initiated around 300 B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem ...f arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972 A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another 1000 years later (in 1976), Diffie and Hellman introduced the first ever public-key cryptosystem, which enabled two people to communicate secretly over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, public-key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles' resolution of Fermat's Last Theorem.続きを見る |
| 目次 | Prime numbers The ring of integers modulo n Public-key cryptography Quadratic reciprocity Continued fractions Elliptic curves. |
| 電子版へのリンク | https://hdl.handle.net/2324/6990011 |
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 | STEI/52/2 | 2009 |
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023212008007585 |
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書誌詳細
| 一般注記 | Bibliography: p. [155]-159 Includes index |
|---|---|
| 著者標目 | *Stein, William A., 1974- |
| 件 名 | LCSH:Number theory LCSH:Curves, Elliptic |
| 分 類 | DC22:512.7 |
| 書誌ID | 1001224918 |
| ISBN | 9780387855240 |
| NCID | BA88665522 |
| 巻冊次 | ISBN:9780387855240 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |