Hilbert's 15th Problem: Schubert Calculus | Infinite Series
PBS Infinite Series・2 minutes read
Herrman Schubert's innovative methods in geometry were both questioned for rigor and praised for their ability to simplify complex problems, with puzzles aiding in the visualization and computation of intersections, and Dedekind cuts used to understand transcendental numbers. Steven recommended the graphic novel "Logicomix" as a valuable resource on the history of logic and math.
Insights
- Schubert's innovative approach to geometry problems involved simplifying computations by strategically positioning lines, despite facing skepticism about the rigor of his methods, akin to landing a jumbo jet blindfolded.
- The introduction of puzzles with colored sides not only aided in understanding geometry but also led to the development of conjectures about relationships between edges and triangles, which were proven using variables N and K, showcasing a unique and practical method for tackling complex geometry concepts.
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Recent questions
Who was Herrman Schubert?
A mathematician fascinated by geometry problems.
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