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A primer of analytic number theory : from Pythagoras to Riemann

Author: Jeffrey Stopple
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2003.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all 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 zeros of his  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jeffrey Stopple
ISBN: 0521813093 9780521813099 0521012538 9780521012539
OCLC Number: 51047132
Description: xiii, 383 p. : ill. ; 24 cm.
Contents: Sums and differences --
Products and divisibility --
Order and magnitude --
Averages --
Calculus --
Primes --
Series --
Basel problem --
Euler's product --
Complex numbers --
The Riemann zeta function --
Symmetry --
Explicit formula --
Modular arithmetic --
Pell's equation --
Elliptic curves --
Analytic theory of algebraic numbers.
Responsibility: Jeffrey Stopple.
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An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.  Read more...

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'... excellent background reading for undergraduates at any stage of their course.' Zentralblatt fur Mathematik '... this is a well-written book at the level of senior undergraduates.' Society for Read more...

 
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