Open Problems in Mathematics: Difference between revisions

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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

| image = Open Problems in Mathematics.jpg

| 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 problemsproblem]]s 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 | The Unknotting Problem]]'', by [[Louis Kauffman]]

* ''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]]