Metric spaces: 100 years
Jul. 16th, 2006 02:44 pm![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png)
I only knew Fréchet as a mathematician, who came up with the notion of derivative in normed vector spaces, which made sense to me. It turnes out that he is behind a number of fundamental definitions we are using today.
Maurice Fréchet introduced metric spaces in his work Sur quelques points du calcul fonctionnel, Rendic. Circ. Mat. Palermo 22(1906) 1-74.
The term compact was introduced by Fréchet in 1906.
Biography: Maurice René Fréchet
Maurice Fréchet introduced metric spaces in his work Sur quelques points du calcul fonctionnel, Rendic. Circ. Mat. Palermo 22(1906) 1-74.
The term compact was introduced by Fréchet in 1906.
Biography: Maurice René Fréchet
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Date: 2006-07-16 07:10 pm (UTC)no subject
Date: 2006-07-16 07:21 pm (UTC)Did not know that. Impressive.
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Date: 2006-07-16 07:29 pm (UTC)And especially, in his own country: "Although widely honoured, it does appear that Fréchet was more highly rated outside France than inside it. He was invited to address the International Congress of Mathematicians in Bologna in 1928 and in Oslo in 1932. He was elected to the Polish Academy of Sciences in 1929 and the Royal Society of Edinburgh in 1947. He was also a member of the International Institute of Statistics. He lost out many times in elections to the Academy of Sciences, eventually being elected in 1956 when he was 78 years old.
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Date: 2006-07-16 08:55 pm (UTC)угу?? 8->
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Date: 2006-07-16 09:05 pm (UTC)видишь, оказалось, что он не только придумал понятие производной в правильной степени общности, которая позволяет разобраться во всей этой путанице между производными и дифференциалами и, вообще, даёт правильную интуицию, но, оказывается, и сделал ещё несколько вполне фундаментальных вещей, которыми мы всё время пользуемся.. хороший диссер человек написал :-)))
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Date: 2006-07-16 10:33 pm (UTC)пожалуй, я всё ещё путаюсь.. :-) (в правильной степени общности)..по крайней мере, я не знала, что между ними была прежде путаница ;-)
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Date: 2006-07-17 02:35 am (UTC)вот, например, задают в конце первого семестра по анализу такой дурацкий вопрос -- что такое "второй дифференциал"? что скажешь? :-)
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Date: 2006-07-17 02:38 am (UTC)no subject
Date: 2006-07-17 02:47 am (UTC)