Open Problems in Mathematics

ISBN13：9783319321608
出版社：Springer Verlag
作者：John Forbes Nash Jr. (EDT); Michael Th. Rassias (EDT)
出版日：2016/08/06
裝訂：精裝
規格：24.1cm*16.5cm*3.8cm (高/寬/厚)
關鍵字： Open Problems in Mathematics、 Open、 Problems、 in、 Mathematics、 Springer Verlag、 John Forbes Nash Jr. (EDT)、 Michael Th. Rassias (EDT)、外文書、自然科普、數學、 Algebra & number theory、

杜威圖書分類

：

Algebra & number theory

定價

：NT$ 9000 元

優惠價

：90 折 8100 元

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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.

作者簡介

John Forbes Nash, Jr. was Senior Research Mathematician at Princeton University. Professor Nash was the recipient of the Nobel Prize in Economics in 1994 and is most widely known for the Nash equilibrium and the Nash Embedding theorem. He was also the recipient of the John von Neumann Theory prize in 1978. Nash's works in game theory, differential geometry, and partial differential equations have provided insight into the factors that govern chance and events inside complex systems in daily life. Moreover, Nash's theories are used in market economics, computing, evolutionary biology, artificial intelligence, accounting, politics, and military theory.

Michael Th. Rassias is currently a postdoctoral researcher at the departments of mathematics, Princeton University and ETH Zurich. His research interests lie in mathematical analysis, analytic number theory and more specifically in exponential / trigonometric sums, zeta functions, approximation theory, functional equations and analytic inequalities. Michael Rassias has received several awards in mathematical problem solving competitions including two gold medals at the Pan-Hellenic Mathematical Competitions of 2002 and 2003 held in Athens, a silver medal at the Balkan Mathematical Olympiad of 2002 held in Targu Mures, Romania and a silver medal at the 44th International Mathematical Olympiad of 2003 held in Tokyo, Japan. He is author of 2 books with Springer: "Problem Solving and Selected Topics in Number Theory" and (with S.E. Louridas) "Problem-Solving and Selected Topics in Euclidean Geometry." Rassias has also co-Edited a volume with G.V. Milanovic entitled "Analytic Number Theory, Approximation Theory, and Special Functions".

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