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{{Short description|Book published in 2016}}
{{For|a list of currently unsolved problems in mathematics|List of unsolved problems in mathematics}}{{Infobox book | isbn = 978-3-319-32160-8
| pub_date = 2016
| editor = [[John Forbes Nash Jr.]] and Michael Th. Rassias
| publisher = Springer
| language = English
| genre = Mathematics
}}
{{Italic title}}
'''''Open Problems in Mathematics''''' is a book, edited by [[John Forbes Nash Jr.]] and Michael Th. Rassias, published in 2016 by Springer ({{isbn|978-3-319-32160-8}}). The book consists of seventeen expository articles, written by outstanding researchers, on some of the central [[open
▲[[File:Open Problems in Mathematics.jpg|thumb|First edition]]
▲'''''Open Problems in Mathematics''''' is a book, edited by [[John Forbes Nash Jr.]] and Michael Th. Rassias, published in 2016 by Springer ({{isbn|978-3-319-32160-8}}). The book consists of seventeen expository articles, written by outstanding researchers, on some of the central open problems in the field of mathematics. The book also features an Introduction on ''John Nash: Theorems and Ideas'', by [[Mikhail Leonidovich Gromov]]. According to the editors’ Preface, each article is devoted to one open problem or a “constellation of related problems”.<ref>https://www.ams.org/journals/notices/201605/201605FULLISSUE.pdf Open Problems in Mathematics, Notices of the AMS, v.63 No. 5 p. 506, May 2016.</ref><ref>[https://www.ias.edu/2016/rassias-nash Open Problems in Mathematics with John Nash], Institute for Advanced Study, Princeton, 2016.</ref><ref>{{cite book |last1=Nash | first1=J. F. | authorlink= John Forbes Nash Jr. | last2=Rassias | first2=M. Th. | title=Open Problems in Mathematics | publisher=Springer, New York | year=2016 }}</ref><ref>{{cite news|url=http://www.maa.org/press/maa-reviews/open-problems-in-mathematics|title=Open Problems in Mathematics (review)|last=Zaldiva|first=Felipe|date=November 7, 2016|work=[[Mathematical Association of America]]|accessdate=23 January 2017}}</ref><ref>{{cite web|url=http://www.euro-math-soc.eu/review/open-problems-mathematics|title=Review: Open Problems in Mathematics|last=Bultheel|first=Adhemar|authorlink= Adhemar Bultheel |date=August 8, 2016|publisher=[[European Mathematical Society]]|accessdate=23 January 2017}}</ref>
==Choice of problems ==
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* ''A Farewell to “A Beautiful Mind and a Beautiful Person”'', by Michael Th. Rassias
* ''Introduction, John Nash: Theorems and Ideas'', by [[Mikhail Leonidovich Gromov]]
* ''[[P versus NP problem|P =? NP]]'', by [[Scott Aaronson]]
* ''From Quantum Systems to [[L-function|L-Functions]]: [[Montgomery's pair correlation conjecture|Pair Correlation Statistics]] and Beyond'', by Owen Barrett, Frank W. K. Firk, [[Steven J. Miller]], and Caroline Turnage-Butterbaugh
* ''The [[Beal conjecture|Generalized Fermat Equation]]'', by Michael Bennett, [[Preda Mihăilescu]], and Samir Siksek
* ''The [[Birch and Swinnerton-Dyer conjecture|Conjecture of Birch and Swinnerton-Dyer]]'', by [[John H. Coates]]
* ''An Essay on the [[Riemann hypothesis|Riemann Hypothesis]]'', by [[Alain Connes]]
* ''[[Navier–Stokes equations|Navier–Stokes Equations]]: A Quick Reminder and a Few Remarks'', by [[Peter Constantin]]
* ''[[Plateau's problem|Plateau’s Problem]]'', by [[Jenny Harrison]] and Harrison Pugh
* ''[[Unknotting problem |
* ''How Can [[Cooperative game theory|Cooperative Game Theory]] Be Made More Relevant to Economics?: An Open Problem'', by [[Eric Maskin]]
* ''The [[Happy ending problem|Erdős–Szekeres Problem]]'', by Walter Morris and Valeriu Soltan
* ''[[Novikov conjecture|Novikov’s Conjecture]]'', by [[Jonathan Rosenberg (mathematician)|Jonathan Rosenberg]]
* ''The [[Discrete Logarithm Problem]]'', by [[René Schoof]]
* ''[[Hadwiger conjecture (graph theory)|Hadwiger’s Conjecture]]'', by [[Paul Seymour (mathematician)|Paul Seymour]]
* ''The [[Hadwiger–Nelson problem|Hadwiger–Nelson Problem]]'', by [[Alexander Soifer]]
* ''[[Unit distance graph|Erdős’s Unit Distance Problem]]'', by [[Endre Szemerédi]]
* ''[[Goldbach's conjecture|Goldbach’s Conjectures]]: A Historical Perspective'', by [[Bob Vaughan|Robert Charles Vaughan]]
* ''[[Hodge conjecture | The Hodge Conjecture]]'', by [[Claire Voisin]]
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