Open Problems in Mathematics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Nash, Jr., John Forbes (Επιμελητής έκδοσης), Rassias, Michael Th (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Θέματα: Mathematics.; Algebraic geometry.; Partial differential equations.; Game theory.; Differential geometry.; Number theory.; Operations research.; Management science.; Number Theory.; Algebraic Geometry.; Differential Geometry.; Partial Differential Equations.; Game Theory, Economics, Social and Behav. Sciences.; Operations Research, Management Science.

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...

Πίνακας περιεχομένων:

• 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). .