Del 53 i serien London Mathematical Society Student Texts

The Prime Number Theorem

Häftad, Engelska, 2003

AvG. J. O. Jameson

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At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.

Produktinformation

Utgivningsdatum2003-04-17
Mått152 x 228 x 17 mm
Vikt346 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Student Texts
Antal sidor264
FörlagCambridge University Press
ISBN9780521891103

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'The entire exposition is extremely lucid, motivated and amply commentated throughout. With numerous examples illustrating the purely theoretical parts. Unquestionably, the book bespeaks the author's teaching skill and experience just as much as his gripping passion for this refined and fascinating topic. Altogether, this textbook is outstandingly suitable for both a course on prime number theory, at the upper-graduate level, and as a source for self-instruction … Anyway, this text is a highly valuable enhancement of the existing literature on the subject which stands out by its particular user-friendliness.' Zentralblatt MATH