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Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
Oberwolfach'tan
Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
When the rigorous foundation of calculus was developed, it marked an epochal change in the approach of mathematicians to geometry. Tools from geometry had been one of the foundations of mathematics until the 17th century but today, mainstream conception relegates geometry to be merely a tool of visualization. In this snapshot, however, we consider geometric and constructive components of calculus. We reinterpret “tractional motion”, a late 17th century method to draw transcendental curves, in order to reintroduce “ideal machines” in math foundation for a constructive approach to calculus that avoids the concept of infinity.
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Matematiksel konular
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Cebir ve Sayılar Kuramı
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Analiz
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Geometri ve Topoloji
Diğer alanlarla ilişkiler
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Bilgisayar Bilimeri
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Matematik Üzerine Düşünceler
Lisans
DOI (Dijital nesne belirteci)
10.14760/SNAP-2019-013-EN
PDF indir
snapshots: overview
Matematiksel konular
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Cebir ve Sayılar Kuramı
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Analiz
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Eğitim ve Eğitim Bilimi
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Ayrık Matematik ve Matematiğin Temelleri
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Geometri ve Topoloji
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Nümerik ve Hesap Analizi
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Olasılık Kuramı ve İstatistik
Diğer alanlarla ilişkiler
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Kimya ve Yer Bilimler
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Mühendislik ve Teknoloji
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Beşeri ve Sosyal Bilimler
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Yaşam Bilimleri
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Fizik
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Matematik Üzerine Düşünceler