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

Cebir ve Sayılar Kuramı
Analiz
Geometri ve Topoloji

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Matematik Üzerine Düşünceler

Yazar(lar)

Pietro Milici

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2019-013-EN

PDF indir

snapshots-2019-013.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

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Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
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Fizik
Matematik Üzerine Düşünceler

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