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Elementary number theory : primes, congruences, and secrets : a computational approach

作者: William A Stein
出版商: New York, NY : Springer, ©2009.
叢書: Undergraduate texts in mathematics.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to  再讀一些...
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類型/形式: Electronic books
其他的實體格式: Print version:
Stein, William A., 1974-
Elementary number theory.
New York, NY : Springer, ©2009
(OCoLC)268798336
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: William A Stein
ISBN: 9780387855257 0387855254 0387855246 9780387855240 1281850969 9781281850966
OCLC系統控制編碼: 317545887
描述: 1 online resource (x, 166 pages) : illustrations.
内容: Prime numbers --
The ring of integers modulo n --
Public-key cryptography --
Quadratic reciprocity --
Continued fractions --
Elliptic curves.
叢書名: Undergraduate texts in mathematics.
責任: William Stein.
更多資訊:

摘要:

Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their  再讀一些...

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From the reviews: "This one treats topics that have become standard in recent years ... and it has exercises with selected solutions. ... it gives the students a tool to do calculations that 再讀一些...

 
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