Protasov V.Yu. "Geometride Maksimum ve Minima"
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Broşürün metni, yazarın 21 Şubat 2004 tarihinde Moskova Devlet Üniversitesi Küçük Mekanik ve Matematik Fakültesi'nde 9-11. sınıflardaki okul çocukları için verdiği bir dersin materyallerine dayanarak hazırlanmıştır. Okuyucu bu tür klasiklere aşina olacaktır. Fagnano problemi, belirli bir çevrenin maksimum alanına ilişkin bir rakam oluşturma problemi, en kısa yol sistemi ile ilgili Steiner problemi ve daha birçokları gibi maksimum ve minimum problemler. Bölümlerden biri konik kesitlere ve bunların odak özelliklerine ayrılmıştır. Broşür, ekstrem problemlerde bir çözümün varlığının kanıtlanması sorununa özellikle dikkat edilerek, yukarıda sıralanan sorunların çözümlerini özetlemektedir. Her bölümün sonunda bağımsız çözüme yönelik bir dizi problem bulunmaktadır. Broşür matematikle ilgilenen geniş bir okuyucu kitlesi için tasarlanmıştır: lise öğrencileri, üçüncü sınıf öğrencileri, okul öğretmenleri ve matematik kulübü başkanları. Son bölümleri okurken, matematiksel analizin başlangıcına aşina olmak yararlı olacaktır (ancak zorunlu değildir). - yıl2012.
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