In mathematics, the Peano surface is the graph of the two-variable function It was proposed by Giuseppe Peano in 1899 as a counterexample to a conjectured criterion for the existence of maxima and minima of functions of two variables. The surface was named the Peano surface (German: Peanosche Fläche) by Georg Scheffers in his 1920 book Lehrbuch der darstellenden Geometrie. It has also been called the Peano saddle.
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| - Peanosche Fläche (de)
- Surface de Peano (fr)
- Peano surface (en)
- Superfície de Peano (pt)
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| - In der Mathematik ist die peanosche Fläche der Graph der Funktion Sie wurde 1899 von Giuseppe Peano als Gegenbeispiel zu einer Vermutung für die Existenz eines lokalen Maximums/Minimums einer Funktion von zwei Variablen angegeben. Diese Fläche wurde 1920 von Georg Scheffers in seinem Lehrbuch der darstellenden Geometrie als Fläche von Peano bezeichnet. Sie wird auch Peano-Sattel genannt. (de)
- In mathematics, the Peano surface is the graph of the two-variable function It was proposed by Giuseppe Peano in 1899 as a counterexample to a conjectured criterion for the existence of maxima and minima of functions of two variables. The surface was named the Peano surface (German: Peanosche Fläche) by Georg Scheffers in his 1920 book Lehrbuch der darstellenden Geometrie. It has also been called the Peano saddle. (en)
- En mathématiques, la surface de Peano est une surface quartique, le graphe de la fonction de deux variables Elle a été proposée par Giuseppe Peano en 1899 comme contre-exemple à un critère conjecturé pour l'existence de maxima et de minima de fonctions de deux variables. (fr)
- A Superfície de Peano é uma superfície quártica, o gráfico de uma função real de duas variáveis. Foi proposta por Giuseppe Peano em 1899 como um contraexemplo para um critério conjecturado para existência de máximos e mínimos de funções de duas variáveis. Ela tem um ponto de sela na origem. (pt)
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| - In der Mathematik ist die peanosche Fläche der Graph der Funktion Sie wurde 1899 von Giuseppe Peano als Gegenbeispiel zu einer Vermutung für die Existenz eines lokalen Maximums/Minimums einer Funktion von zwei Variablen angegeben. Diese Fläche wurde 1920 von Georg Scheffers in seinem Lehrbuch der darstellenden Geometrie als Fläche von Peano bezeichnet. Sie wird auch Peano-Sattel genannt. (de)
- In mathematics, the Peano surface is the graph of the two-variable function It was proposed by Giuseppe Peano in 1899 as a counterexample to a conjectured criterion for the existence of maxima and minima of functions of two variables. The surface was named the Peano surface (German: Peanosche Fläche) by Georg Scheffers in his 1920 book Lehrbuch der darstellenden Geometrie. It has also been called the Peano saddle. (en)
- En mathématiques, la surface de Peano est une surface quartique, le graphe de la fonction de deux variables Elle a été proposée par Giuseppe Peano en 1899 comme contre-exemple à un critère conjecturé pour l'existence de maxima et de minima de fonctions de deux variables. (fr)
- A Superfície de Peano é uma superfície quártica, o gráfico de uma função real de duas variáveis. Foi proposta por Giuseppe Peano em 1899 como um contraexemplo para um critério conjecturado para existência de máximos e mínimos de funções de duas variáveis. Ela tem um ponto de sela na origem. (pt)
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