Open Problems in Mathematics

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume co...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Nash, Jr., John Forbes (Editor ), Rassias, Michael Th (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Number theory.
Algebraic geometry.
Geometry, Differential.
Differential equations.
Game theory.
Operations research.
Management science.
Number Theory.
Algebraic Geometry.
Differential Geometry.
Differential Equations.
Game Theory.
Operations Research, Management Science .
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface (J.F. Nash, Jr., M.Th. Rassias)
  • Introduction (M. Gromov)
  • 1. P Versus NP (S. Aaronson)
  • 2. From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond (O. Barrett, F.W.K. Firk, S.J. Miller, C. Turnage-Butterbaugh)
  • 3. The Generalized Fermat Equation (M. Bennett, P. Mihăilescu, S. Siksek)
  • 4. The Conjecture of Birch and Swinnerton-Dyer (J. Coates)
  • 5. An Essay on the Riemann Hypothesis (A. Connes)
  • 6. Navier Stokes Equations (P. Constantin)
  • 7. Plateau's Problem (J. Harrison, H. Pugh)
  • 8. The Unknotting Problem (L.H. Kauffman)
  • 9. How Can Cooperative Game Theory Be Made More Relevant to Econimics? (E. Maskin)
  • 10. The Erdős-Szekeres Problem (W. Morris, V. Soltan)
  • 11. Novikov's Conjecture (J. Rosenberg)
  • The Discrete Logarithm Problem (R. Schoof)
  • 13. Hadwiger's Conjecture (P. Seymour)
  • 14. The Hadwiger-Nelson Problem (A. Soifer)
  • 15. Erdős's Unit Distance Problem (E. Szemerédi)
  • 16. Goldbach's Conjectures (R.C. Vaughan)
  • 17. The Hodge Conjecture (C. Voisin). .

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