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The Scottish Book

Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

Editors: Mauldin, R. Daniel (Ed.)

  • An updated and expanded edition of a historically important collection of mathematical problems
  • Offers a unique insight into the ideas of a time and place that had an enormous influence on the development of mathematics
  • Contains 193 mathematical problems formulated by leaders in the field prior to the second World War, some of which remain unsolved to this day
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Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-22897-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-3-319-22896-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“The book under review is interesting not only for historians of mathematics. It gives a vivid picture of the mathematical life in Lvov between the world wars and offers an opportunity to see the people and ideas of that time that had an enormous influence on the development of mathematics.” (Roman Murawski, zbMATH 1331.01039, 2016)


Table of contents (9 chapters)

  • An Anecdotal History of the Scottish Book

    Ulam, Stanislaw

    Pages 3-11

    Preview Buy Chapter 30,19 €
  • A Personal History of the Scottish Book

    Kac, Mark

    Pages 13-20

    Preview Buy Chapter 30,19 €
  • Steinhaus and the Development of Polish Mathematics

    Zygmund, Antoni

    Pages 21-25

    Preview Buy Chapter 30,19 €
  • My Scottish Book ‘Problems’

    Erdös, Paul

    Pages 27-33

    Preview Buy Chapter 30,19 €
  • KKM-Maps

    Granas, Andrzej

    Pages 35-48

    Preview Buy Chapter 30,19 €

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-22897-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-3-319-22896-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Scottish Book
Book Subtitle
Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book
Editors
  • R. Daniel Mauldin
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-22897-6
DOI
10.1007/978-3-319-22897-6
Hardcover ISBN
978-3-319-22896-9
Edition Number
2
Number of Pages
XVIII, 322
Number of Illustrations and Tables
19 b/w illustrations, 4 illustrations in colour
Topics