Mathematics and mathematicians : mathematics in Sweden before 1950
著者
書誌事項
Mathematics and mathematicians : mathematics in Sweden before 1950
(History of mathematics, v. 13)
American Mathematical Society, c1998
- タイトル別名
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Matematik och matematiker : matematiken i Sverige före 1950
Swedisn mathematics
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注記
"Originally published in Swedish by Lund University Press, Lund, Sweden, 1994" -- T.p. verso
Includes bibliographies and index
内容説明・目次
内容説明
This book is about mathematics in Sweden between 1630 and 1950 - from S. Klingenstierna to M. Riesz, T. Carleman, and A. Beurling. It tells the story of how continental mathematics came to Sweden, how it was received, and how it inspired new results. The book contains a biography of Gosta Mittag-Leffler, the father of Swedish mathematics, who introduced the Weierstrassian theory of analytic functions and dominated a golden age from 1880 to 1910.Important results are analyzed and reproved in modern notation, with explanations of their relations to mathematics at the time. The book treats Backlund transformations, Mittag-Leffler's theorem, the Phragmen-Lindelof theorem and Carleman's contributions to the spectral theorem, quantum mechanics, and the asymptotics of eigenvalues and eigenfunctions. Other important features include sketches of personalities and university life. This book presents the first thorough treatment of mathematics in Sweden. It discusses the work of the great mathematicians and the development of mathematics throughout Europe. It also brings the mathematics of an era to life in an informative and highly readable way.
目次
The eighteenth century The time 1800-1850 A new time in Uppsala and Lund 1860-1890 Algebraic geometry in Lund before 1900 Backlund Uppsala 1860-1900 Gosta Mittag-Leffler--A biography Mittag-Leffler's and Sonya Kovalevski's mathematical papers Astronomy and optics Stockholm University 1880-1920 I Stockholm University 1880-1920 II Uppsala 1900-1930 Lund 1900-1925 Stockholm 1925-1950 Lund 1925-1950 Uppsala 1930-1950 Mathematicians in Sweden 1700-1950 Postscript Index.
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