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Algebra at the End of the Nineteenth Century

  • Jeremy Gray
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter we begin to look at the major change that happened to algebra in the nineteenth century: the transformation from polynomial algebra to modern algebra. A vivid impression of the subject is given by the book that described the state of the art around 1900, Weber’s Lehrbuch der Algebra, much of which described Galois theory and number theory as it then stood.

References

  1. Corry, L.: Modern algebra and the rise of mathematical structures. Science Networks. Historical Studies, vol. 17, 2nd edn. 2004. Birkhäuser, Basel (1996)Google Scholar
  2. Dugac, P.: Richard Dedekind et les Fondements des Mathématiques. Vrin, Paris (1976)zbMATHGoogle Scholar
  3. Hawkins, T.: The Mathematics of Frobenius in Context. Springer, Berlin (2013)CrossRefGoogle Scholar
  4. Kiernan, B.M.: The development of Galois theory from Lagrange to Artin. Arch. Hist. Exact Sci. 8, 40–154 (1971)MathSciNetCrossRefGoogle Scholar
  5. Weber, H.: Die allgemeinen Grundlagen der Galois’schen Gleichungstheorie. Math. Ann. 43, 521–549 (1893)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Jeremy Gray
    • 1
    • 2
  1. 1.School of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUK

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