| 書目名稱 | Elementary Number Theory: Primes, Congruences, and Secrets | | 副標題 | A Computational Appr | | 編輯 | William Stein | | 視頻video | http://file.papertrans.cn/308/307400/307400.mp4 | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. 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 thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predeterminedsecret; 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 insi | | 出版日期 | Textbook 2009 | | 關鍵詞 | Grad; Prime; Prime number; cryptography; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/b13279 | | isbn_softcover | 978-1-4419-2752-1 | | isbn_ebook | 978-0-387-85525-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 2009 |
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