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9780821814284

Mathematical Developments Arising from Hilbert Problems

by ; ;
  • ISBN13:

    9780821814284

  • ISBN10:

    0821814281

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 1983-06-01
  • Publisher: Amer Mathematical Society

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Table of Contents

Hilbert's first problem: The continuum hypothesis
What have we learnt from Hilbert's second problem?
Problem IV: Desarguesian spaces
Hilbert's fifth problem and related problems on transformation groups
Hilbert's sixth problem: Mathematical treatment of the axioms of physics
Hilbert's seventh problem: On the Gelfond-Baker method and its applications
Hilbert's 8th problem: An analogue
An overview of Deligne's proof of the Riemann hypothesis for varieties over finite fields (Hilbert's problem 8)
Problems concerning prime numbers (Hilbert's problem 8)
Problem 9: The general reciprocity law
Hilbert's tenth problem. Diophantine equations: Positive aspects of a negative solution
Hilbert's eleventh problem: The arithmetic theory of quadratic forms
Some contemporary problems with origins in the Jugendtraum (Hilbert's problem 12)
The 13-th problem of Hilbert
Hilbert's fourteenth problem–the finite generation of subrings such as rings of invariants
Problem 15. Rigorous foundation of Schubert's enumerative calculus
Hilbert's seventeenth problem and related problems on definite forms
Hilbert's problem 18: On crystalographic groups, fundamental domains, and on sphere packing
The solvability of boundary value problems (Hilbert's problem 19)
Variational problems and elliptic equations (Hilbert's problem 20)
An overview of Deligne's work on Hilbert's twenty-first problem
Hilbert's twenty-third problem: Extensions of the calculus of variations
Table of Contents provided by Publisher. All Rights Reserved.

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