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The Prime Number Theorem

$138.00 (X)

Part of London Mathematical Society Student Texts

  • Date Published: April 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521814119

$ 138.00 (X)
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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 (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory to attack a 'real' problem.

    • Fascinating classical subject
    • Class-tested by the author
    • Provides an alternative view of the topic
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    Reviews & endorsements

    "...strongly recommended to those wishing to teach some analytic number theory at the undergraduate level." Mathematical Reviews

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    Product details

    • Date Published: April 2003
    • format: Hardback
    • isbn: 9780521814119
    • length: 264 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.56kg
    • contains: 1 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    1. Foundations
    2. Some important Dirichlet series and arithmetic functions
    3. The basic theorems
    4. Prime numbers in residue classes: Dirichlet's theorem
    5. Error estimates and the Riemann hypothesis
    6. An 'elementary' proof of the prime number theorem
    Appendices
    Bibliography
    Index.

  • Author

    G. J. O. Jameson, Lancaster University

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