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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2016, 2016
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| Edition: | 1st ed. 2016 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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).