Lectures on Formally Real Fields

Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a...

詳細記述

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書誌詳細
第一著者: Prestel, Alexander, 1941-...., mathématicien
フォーマット: Livre numérique
言語:Anglais
出版事項: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
シリーズ:Lecture notes in mathematics 1093
主題:
オンライン・アクセス:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
注記: Cours déjà publié en 1975 par l'Instituto de matemática pura e aplicada, Rio de Janeiro
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Lectures on formally real fields, Alexander Prestel, 1984, Berlin [etc.], Springer-Verlag, 1 volume (XI-125 pages), Lecture notes in mathematics, 0-387-13885-4
• Lectures on Formally Real Fields, Texte imprimé, 9783662207390
目次:
  • Orderings and semiorderings of fields
  • Quadratic forms over formally real fields
  • Real algebraic closures
  • Some notions from model theory
  • The transfer-principle for real closed fields
  • The space of orderings and semiorderings
  • Real places
  • Real henselian fields
  • SAP-fields
  • Quadratic forms over formally real fields.