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.
|Publisher:||Springer International Publishing|
|Edition description:||Softcover reprint of the original 1st ed. 2016|
|Product dimensions:||6.10(w) x 9.25(h) x (d)|
About the Author
Michael Th. Rassias during his collaboration in 2014-2015 with John Forbes Nash, Jr. for the preparation of this book was a postdoctoral researcher at the Departments of Mathematics of Princeton University and ETH-Zurich, working at Princeton. He is currently a postdoctoral researcher at the Institute of Mathematics of the University of Zurich and a visiting researcher at the Program in Interdisciplinary Studies of the Institute for Advanced Study, Princeton. His research interests lie in mathematical analysis and analytic number theory. Rassias has received several awards in national and international mathematical Olympiads. He was also awarded the 2014 Notara Prize in Mathematics from the Academy of Athens. He has also authored, co-authored and co-edited five other books with Springer.