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Mathematical Problems

Mathematical Problems

автор: David Hilbert
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    English
  • Жанры: 
    Science / General
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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.

Главы

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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