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Pioneers of Representation Theory - Frobenius, Burnside, Schur and Brauer (Paperback, New edition)
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Pioneers of Representation Theory - Frobenius, Burnside, Schur and Brauer (Paperback, New edition)
Series: History of Mathematics
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The year 1897 was marked by two important mathematical events: the
publication of the first paper on representations of finite groups
by Ferdinand Georg Frobenius (1849-1917) and the appearance of the
first treatise in English on the theory of finite groups by William
Burnside (1852-1927). Burnside soon developed his own approach to
representations of finite groups. In the next few years, working
independently, Frobenius and Burnside explored the new subject and
its applications to finite group theory. They were soon joined in
this enterprise by Issai Schur (1875-1941) and some years later, by
Richard Brauer (1901-1977). These mathematicians' pioneering
research is the subject of this book.It presents an account of the
early history of representation theory through an analysis of the
published work of the principals and others with whom the
principals' work was interwoven. Also included are biographical
sketches and enough mathematics to enable readers to follow the
development of the subject. An introductory chapter contains some
of the results involving characters of finite abelian groups by
Lagrange, Gauss, and Dirichlet, which were part of the mathematical
tradition from which Frobenius drew his inspiration. This book
presents the early history of an active branch of mathematics. It
includes enough detail to enable readers to learn the mathematics
along with the history. The volume would be a suitable text for a
course on representations of finite groups, particularly one
emphasizing an historical point of view.
General
Imprint: |
American Mathematical Society
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Country of origin: |
United States |
Series: |
History of Mathematics |
Release date: |
October 1999 |
Authors: |
Charles W Curtis
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Dimensions: |
248 x 178 x 16mm (L x W x T) |
Format: |
Paperback
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Pages: |
292 |
Edition: |
New edition |
ISBN-13: |
978-0-8218-2677-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
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LSN: |
0-8218-2677-8 |
Barcode: |
9780821826775 |
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