The Resource Open Problems in Mathematics, edited by John Forbes Nash, Jr., Michael Th. Rassias, (electronic resource)

Open Problems in Mathematics, edited by John Forbes Nash, Jr., Michael Th. Rassias, (electronic resource)

Label
Open Problems in Mathematics
Title
Open Problems in Mathematics
Statement of responsibility
edited by John Forbes Nash, Jr., Michael Th. Rassias
Contributor
Editor
Provider
Subject
Language
eng
Summary
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 comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems
Image bit depth
0
LC call number
QA241-247.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Nash, Jr., John Forbes.
  • Rassias, Michael Th.
  • SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Algebraic geometry
  • Partial differential equations
  • Game theory
  • Differential geometry
  • Number theory
  • Operations research
  • Management science
  • Mathematics
  • Number Theory
  • Algebraic Geometry
  • Differential Geometry
  • Partial Differential Equations
  • Game Theory, Economics, Social and Behav. Sciences
  • Operations Research, Management Science
Label
Open Problems in Mathematics, edited by John Forbes Nash, Jr., Michael Th. Rassias, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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).
Dimensions
unknown
Extent
XIII, 543 p. 88 illus., 17 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319321622
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-32162-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32162-2
Label
Open Problems in Mathematics, edited by John Forbes Nash, Jr., Michael Th. Rassias, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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).
Dimensions
unknown
Extent
XIII, 543 p. 88 illus., 17 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319321622
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-32162-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32162-2

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