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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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The Scottish Book - Mathematics from The Scottish Cafe, with Selected Problems from The New Scottish Book (Hardcover, 2nd ed. 2015)
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The Scottish Book - Mathematics from The Scottish Cafe, with Selected Problems from The New Scottish Book (Hardcover, 2nd ed. 2015)
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The second edition of this book updates and expands upon a
historically important collection of mathematical problems first
published in the United States by Birkhauser in 1981. These
problems serve as a record of the informal discussions held by a
group of mathematicians at the Scottish Cafe in Lwow, 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 Erdoes, and Andrzej Granas that provide amazing
insights into the mathematical environment of Lwow before World War
II and the development of The Scottish Book. Also new in this
edition are a brief history of the University of Wroclaw'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.
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