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Elementary number theory : primes, congruences, and secrets

作者: William A Stein
出版商: New York ; London : 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
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 ; London : Springer, ©2008
(OCoLC)258078832
資料類型: 文獻, 網際網路資源
文件類型 網際網路資源, 電腦檔案
所有的作者/貢獻者: William A Stein
ISBN: 9780387855257 0387855254
OCLC系統控制編碼: 310335629
描述: 1 online resource.
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.

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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