Mathematical Problems

Mathematical Problems

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    English
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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.
Chapters
  • 01
    00 - Introduction
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  • 02
    01 - Cantor's Problem of the Cardinal Number of the Continuum
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  • 03
    02 - The Compatibility of the Arithmetical Axioms
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  • 04
    03 - The Equality of the Volumes of Two Tetrahedra of Equal Bases and Equal Altitudes
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  • 05
    04 - Problem of the Straight Line as the Shortest Distance Between Two Points
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  • 06
    05 - Lie's Concept of a Continuous Group of Transformations Without the Assumption of the Differentiability of the Functions Defining the Group
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  • 07
    06 - Mathematical Treatment of the Axioms of Physics
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  • 08
    07 - Irrationality and Transcendence of Certain Numbers
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  • 09
    08 - Problems of Prime Numbers
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  • 10
    09 - Problems 9 - 11
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  • 11
    10 - Extension of Kronecker's Theorem of Abelian Fields to Any Algebraic Realm of Rationality
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  • 12
    11 - Impossibility of the Solution of the General Equation of the 7th Degree by Means of Functions of Only Two Arguments
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  • 13
    12 - Proof of the Finiteness of Certain Complete Systems of Functions
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  • 14
    13 - Problems 15 and 16
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  • 15
    14 - Expression of Definite Forms by Squares
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  • 16
    15 - Building up of Space from Congruent Polyhedra
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  • 17
    16 - Are the Solutions of Regular Problems in the Calculus of Variations Always Necessarily Analytic?
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  • 18
    17 - The General Problem of Boundary Values
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  • 19
    18 - Proof of the Existence of Linear Differential Equations Having a Prescribed Monodromic Group
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  • 20
    19 - Uniformization of Analytic Relations by Means of Automorphic Functions
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  • 21
    20 - Problem 23 and Conclusion
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