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Mathematical Problems by David Hilbert

Arts EN ↓ 21 episodes

Lecture delivered before the International Congress of Mathematicians at Paris in 1900 and subsequently published in the Bulletin of the American Mathematical Society Vol. 8 (1902), 479-481.

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Loyal Books

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Arts

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www.loyalbooks.com

Latest episode

Jan 2, 2026

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Episodes

00 - Introduction 02.01.2026

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01 - Cantor's Problem of the Cardinal Number of the Continuum 01.01.2026

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02 - The Compatibility of the Arithmetical Axioms 31.12.2025

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03 - The Equality of the Volumes of Two Tetrahedra of Equal Bases and Equal Altitudes 30.12.2025

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04 - Problem of the Straight Line as the Shortest Distance Between Two Points 29.12.2025

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05 - Lie's Concept of a Continuous Group of Transformations Without the Assumption of the Differentiability of the Functions Defining the Group 28.12.2025

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06 - Mathematical Treatment of the Axioms of Physics 27.12.2025

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07 - Irrationality and Transcendence of Certain Numbers 26.12.2025

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08 - Problems of Prime Numbers 25.12.2025

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09 - Problems 9 - 11 24.12.2025

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10 - Extension of Kronecker's Theorem of Abelian Fields to Any Algebraic Realm of Rationality 23.12.2025

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11 - Impossibility of the Solution of the General Equation of the 7th Degree by Means of Functions of Only Two Arguments 22.12.2025

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12 - Proof of the Finiteness of Certain Complete Systems of Functions 21.12.2025

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13 - Problems 15 and 16 20.12.2025

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14 - Expression of Definite Forms by Squares 19.12.2025

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15 - Building up of Space from Congruent Polyhedra 18.12.2025

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16 - Are the Solutions of Regular Problems in the Calculus of Variations Always Necessarily Analytic? 17.12.2025

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17 - The General Problem of Boundary Values 16.12.2025

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18 - Proof of the Existence of Linear Differential Equations Having a Prescribed Monodromic Group 15.12.2025

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19 - Uniformization of Analytic Relations by Means of Automorphic Functions 14.12.2025

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20 - Problem 23 and Conclusion 13.12.2025

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