Solving quadratic equations in many variables

오버불파크에서 찍은 현대수학의 면모

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. 

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수학적 주제

대수학/정수론

저자

Jean-Pierre Tignol

라이선스

디지털 객체 식별자(DOI)

10.14760/SNAP-2017-012-EN

PDF 다운로드

snapshots-2017-012.pdf

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수학적 주제

대수학/정수론
해석학
수학교육/교수법
이산수학/수학기초론
기하학/위상수학
수치해석/과학계산
확률론/통계학

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