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Solving quadratic equations in many variables

Oberwolfach'tan

Solving quadratic equations in many variables

Fields are number systems in which every linear equation has a solution, such as the set of all rational numbers Q or the set of all real numbers R. All fields have the same properties in relation with systems of linear equations, but quadratic equations behave differently from field to field. Is there a field in which every quadratic equation in five variables has a solution, but some quadratic equation in four variables has no solution? The answer is in this snapshot. 

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Cebir ve Sayılar Kuramı

Yazar(lar)

Jean-Pierre Tignol

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2017-012-EN

PDF indir

snapshots-2017-012.pdf

PDF

snapshots: overview

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

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