The Scottish Book: Mathematics from The Scottish Caf, with Selected Problems from The New Scottish Book
The Scottish Book: Mathematics from The Scottish Caf, with Selected Problems from The New Scottish Book
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苏格兰书：苏格兰咖啡馆的数学，以及新苏格兰书的精选问题
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发表时间：
2015
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通讯作者：
R. Mauldin
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作者：
R. Mauldin
第二版这本书更新和扩大后，历史上重要的收集数学问题首次在美国出版的伯克霍瑟于1981年。这些问题作为一个记录的非正式讨论举行了一组数学家在苏格兰咖啡馆在Lww，波兰，两次世界大战之间。他们中的许多领导人在发展等领域的职能和真实的分析，群论，措施和集理论，概率和拓扑结构。自第二次世界大战以来，一直在寻找他们提出的问题的解决方案，并在许多情况下为那些成功的人提供奖品。在第一版出版后的35年里，又有几个问题得到了完全或部分的解决，但即使在今天，仍有许多问题没有得到解决，还有几个奖项没有获得。有鉴于此，编辑收集了新的和更新的评论，对原来的193个问题。有些问题在本版中首次得到解决。包括再次在充分的是成绩单的讲座给予斯坦尼斯瓦夫乌拉姆，马克卡茨，安东尼Zygmund，保罗Erds，和Andrzej格拉纳斯提供惊人的见解到数学环境的LWW第二次世界大战前和发展的苏格兰书。此外，在这个版本中的新的是一个简短的历史弗罗茨瓦夫大学新苏格兰书，创造了恢复原来的传统，并从中选择了一些问题。苏格兰书提供了一个独特的机会，与人民和思想的时间和地点，有一个巨大的影响，数学的发展和尝试他们的手在未解决的问题。任何在一般数学界对现代数学史感兴趣的人都会发现这是一本有见地和引人入胜的读物。
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Caf in Lww, 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 Erds, and Andrzej Granas that provide amazing insights into the mathematical environment of Lww before World War II and the development of The Scottish Book. Also new in this edition are a brief history of the University of Wrocaws 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.