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A primer of analytic number theory :...

Stopple, Jeffrey, (1958-)

A primer of analytic number theory :from Pythagoras to Riemann /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512/.7
書名/作者:	A primer of analytic number theory : : from Pythagoras to Riemann // Jeffrey Stopple.
作者:	Stopple, Jeffrey,
面頁冊數:	1 online resource (xiii, 383 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Number theory.
ISBN:	9780511755132 (ebook)
摘要、提要註:	This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.
電子資源:	http://dx.doi.org/10.1017/CBO9780511755132

A primer of analytic number theory :from Pythagoras to Riemann /
Stopple, Jeffrey,1958-

A primer of analytic number theory :from Pythagoras to Riemann /Jeffrey Stopple. - 1 online resource (xiii, 383 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.

ISBN: 9780511755132 (ebook)Subjects--Topical Terms:

464118
Number theory.

LC Class. No.: QA241 / .S815 2003

Dewey Class. No.: 512/.7

A primer of analytic number theory :from Pythagoras to Riemann /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.
650 0 $a Number theory. $3 464118
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856 4 0 $u http://dx.doi.org/10.1017/CBO9780511755132

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