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The Prime Number Theorem

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Title: The Prime Number Theorem
Description: 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.
Authors: G. J. O. Jameson
Resource Type: eBook.
Subjects: Numbers, Prime
Categories: MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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RelevancyScore: 985
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 985.343994140625
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  Data: 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.
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    Classifications:
      – Code: 512.72
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Numbers, Prime
        Type: general
    Titles:
      – TitleFull: The Prime Number Theorem
        Type: main
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          Name:
            NameFull: G. J. O. Jameson
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            NameFull: G. J. O. Jameson
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2003
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521814119
            – Type: isbn-electronic
              Value: 9780511078194
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              Value: 00053
          Titles:
            – TitleFull: The Prime Number Theorem
              Type: main
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