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Diophantine Mysteries: Whole-Number Puzzles from Antiquity to Geometry

Author
Mike Breault
Published
Sun 13 Oct 2024
Episode Link
None

Explore the world of Diophantine equations—problems that seek only whole-number solutions. We trace the journey from Diophantus of Alexandria through Fermat’s Last Theorem to Hilbert’s 10th problem, and into the geometric realm of Diophantine geometry. Along the way, we’ll demystify linear Diophantine equations and show how geometry reveals the shape of numbers.


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