國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A primer of analytic number theory :/ Jeffrey Stopple.
Reminder of title:	from Pythagoras to Riemann /
Author:	Stopple, Jeffrey,
Description:	1 online resource (xiii, 383 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Number theory. -
Online resource:	https://doi.org/10.1017/CBO9780511755132
ISBN:	9780511755132 (ebook)

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:

527883
Number theory.

LC Class. No.: QA241 / .S815 2003

Dewey Class. No.: 512/.7

A primer of analytic number theory : = from Pythagoras to Riemann /
LDR:02006nam a2200289 i 4500 001 1124447
003 UkCbUP
005 20151005020621.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2003||||enk o ||1 0|eng|d
020 $a 9780511755132 (ebook)
020 $z 9780521813099 (hardback)
020 $z 9780521012539 (paperback)
035 $a CR9780511755132
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA241 $b .S815 2003
082 0 0 $a 512/.7 $2 21
100 1 $a Stopple, Jeffrey, $d 1958- $e author. $3 1441982
245 1 2 $a A primer of analytic number theory : $b from Pythagoras to Riemann / $c Jeffrey Stopple.
264 1 $a Cambridge : $b Cambridge University Press, $c 2003.
300 $a 1 online resource (xiii, 383 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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 527883
776 0 8 $i Print version: $z 9780521813099
856 4 0 $u https://doi.org/10.1017/CBO9780511755132