'''''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>http://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 |last=Nash | first=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|date=August 8, 2016|publisher=[[European Mathematical Society]]|accessdate=23 January 2017}}</ref>
==Choice of problems ==
John Forbes Nash Jr. and Michael Th. Rassias write in the Prefacepreface of the book that the open problems presented “were chosen for a variety of reasons. Some were chosen for their undoubtable importance and applicability, others because they constitute intriguing curiosities which remain unexplained mysteries on the basis of current knowledge and techniques, and some for more emotional reasons. Additionally, the attribute of a problem having a somewhat ''vintage flavor'' was also influential” in their decision process.<ref name="Nash2015">{{cite book |last=Nash | first=J. F. | authorlink= John Forbes Nash Jr. | last2=Rassias | first2=M. Th. | title=Preface: Open Problems in Mathematics | publisher=Springer, New York | year=2016 | pages=v-vi }}</ref>
