Hilbert's problems and their sequels
type: Item
instance of: scholarly article
title: Hilbert's problems and their sequels
zbMATH Open document ID: 0847.01013
DOI: 10.1007/BF03024812
author: Jean-Michel Kantor
published in: The Mathematical Intelligencer
publication date: 1996-10-20T00:00:00Z
review text: The author primarily reviews the mathematical developments arising from Hilbert's famous list of problems emphasizing the progress between 1975 and 1992 (the well-known survey edited by F. Browder appeared in 1976). He also argues that in the last 20 years, globally speaking, external needs are the principle motor driving mathematics. In this respect he points out the effect of electronic processing of data: on logic, on cryptography and signal theory, on the rapprochement of theoretical physics and mathematics, on applications of topology in formal calculi, on the theory of minimal surfaces, etc. Finally he suggests that mathematicians and other scientists write a program of twenty-first-century mathematics which would list the important problems deserving mathematicians efforts, new or renewed.
Mathematics Subject Classification ID: 01A65
zbMATH DE Number: 885802
zbMATH Keywords: Hilbert's problems
zbMATH Keywords: F. Browder
zbMATH Keywords: theoretical physics
reviewed by: Teun Koetsier
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 885802