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Algebra and Number Theory : A Selection of Highlights

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Title: Algebra and Number Theory : A Selection of Highlights
Description: This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell's equationTranscendental numbers and the numbers e and πCompass and straightedge constructions and the classical problemsEuclidean vector spaces
Authors: Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman
Resource Type: eBook.
Subjects: Number theory, Algebra
Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1595406
RelevancyScore: 1077
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1077.00524902344
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  Data: Algebra and Number Theory : A Selection of Highlights
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell's equationTranscendental numbers and the numbers e and πCompass and straightedge constructions and the classical problemsEuclidean vector spaces
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  Data: <searchLink fieldCode="AR" term="%22Benjamin+Fine%22">Benjamin Fine</searchLink><br /><searchLink fieldCode="AR" term="%22Anthony+Gaglione%22">Anthony Gaglione</searchLink><br /><searchLink fieldCode="AR" term="%22Anja+Moldenhauer%22">Anja Moldenhauer</searchLink><br /><searchLink fieldCode="AR" term="%22Gerhard+Rosenberger%22">Gerhard Rosenberger</searchLink><br /><searchLink fieldCode="AR" term="%22Dennis+Spellman%22">Dennis Spellman</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink>
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    Classifications:
      – Code: 512
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Number theory
        Type: general
      – SubjectFull: Algebra
        Type: general
    Titles:
      – TitleFull: Algebra and Number Theory : A Selection of Highlights
        Type: main
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            NameFull: Benjamin Fine
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            NameFull: Anthony Gaglione
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            NameFull: Anja Moldenhauer
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            NameFull: Gerhard Rosenberger
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            NameFull: Dennis Spellman
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            NameFull: Benjamin Fine
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            NameFull: Anja Moldenhauer
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            NameFull: Gerhard Rosenberger
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            NameFull: Dennis Spellman
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 01
              M: 11
              Type: profile
              Y: 2017
          Identifiers:
            – Type: isbn-print
              Value: 9783110515848
            – Type: isbn-electronic
              Value: 9783110516142
            – Type: isbn-electronic
              Value: 9783110516265
          Titles:
            – TitleFull: Algebra and Number Theory : A Selection of Highlights
              Type: main
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