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Galois Theory

Classical Algebra Complex Numbers Subfields and Subrings of the Complex Numbers Solving Equations Solution by RadicalsThe Fundamental Theorem of Algebra Polynomials Fundamental Theorem of Algebra ImplicationsFactorisation of Polynomials The Euclidean Algorithm Irreducibility Gauss's Lemma Eisenstein's Criterion Reduction Modulo p Zeros of PolynomialsField Extensions Field Extensions Rational Expressions Simple ExtensionsSimple Extensions Algebraic and Transcendental Extensions The Minimal Polynomial Simple Algebraic Extensions Classifying Simple ExtensionsThe Degree of an ExtensionDefinition o.

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  • "Classical Algebra Complex Numbers Subfields and Subrings of the Complex Numbers Solving Equations Solution by RadicalsThe Fundamental Theorem of Algebra Polynomials Fundamental Theorem of Algebra ImplicationsFactorisation of Polynomials The Euclidean Algorithm Irreducibility Gauss's Lemma Eisenstein's Criterion Reduction Modulo p Zeros of PolynomialsField Extensions Field Extensions Rational Expressions Simple ExtensionsSimple Extensions Algebraic and Transcendental Extensions The Minimal Polynomial Simple Algebraic Extensions Classifying Simple ExtensionsThe Degree of an ExtensionDefinition o."@en
  • "Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973This edition brings the presentation in line with more modern approaches. While preserving and extending the most popular features of the previous editions, the author reorganized the material to place the concrete before the abstract. He also added more technical history, incorporated several newer proofs, and revived some classical topics. There is simply no more engaging, no more accessible, no more outstanding introduction to the intriguing concepts of abstract algebra than Galois Theory."
  • "Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet mathematics education has changed considerably since 1973, when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches.To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals. Reorganization of the material places the concrete before the abstract, thus motivating the general theory, but the substance of the book remains the same."

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  • "Libros electrónicos"
  • "Electronic books"
  • "Electronic books"@en
  • "Lehrbuch"

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  • "Galois Theory"
  • "Galois Theory"@en
  • "Galois theory"
  • "Galois theory"@en

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