Identifiant pérenne de la notice : 206337795
Notice de type
Notice de regroupement
Note publique d'information : The second edition of this book updates and expands upon a historically important
collection of mathematical problems first published in the United States by Birkhäuser
in 1981. These problems serve as a record of the informal discussions held by a group
of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars.
Many of them were leaders in the development of such areas as functional and real
analysis, group theory, measure and set theory, probability, and topology. Finding
solutions to the problems they proposed has been ongoing since World War II, with
prizes offered in many cases to those who are successful. In the 35 years since the
first edition published, several more problems have been fully or partially solved,
but even today many still remain unsolved and several prizes remain unclaimed. In
view of this, the editor has gathered new and updated commentaries on the original
193 problems. Some problems are solved for the first time in this edition. Included
again in full are transcripts of lectures given by Stanislaw Ulam, Mark Kac, Antoni
Zygmund, Paul Erdös, and Andrzej Granas that provide amazing insights into the mathematical
environment of Lwów before World War II and the development of The Scottish Book.
Also new in this edition are a brief history of the University of Wrocław’s New Scottish
Book, created to revive the tradition of the original, and some selected problems
from it. The Scottish Book offers a unique opportunity to communicate with the people
and ideas of a time and place that had an enormous influence on the development of
mathematics and try their hand on the unsolved problems. Anyone in the general mathematical
community with an interest in the history of modern mathematics will find this to
be an insightful and fascinating read