ISBN: 9780387966717
ID: 9cf0a4307c28452b1b1f7719b264e0fe
Kummers work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummers work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950s, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and, [PU: Springer]
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Serge Lang, Karl Rubin:
Cyclotomic Fields I and II: v. 1-2 (Graduate Texts in Mathematics) - hardcoverISBN: 0387966714
[SR: 4071984], Hardcover, [EAN: 9780387966717], Springer, Springer, Book, [PU: Springer], 1990-01-01, Springer, Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in g...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922522, Mathematical Theory, 922518, Chaos, 278381, Game Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570902, Algebra, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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ISBN: 9780387966717
ID: 1187025
This book is a combined edition of the books previously published as "Cyclotomic Fields, Vol. I and II." It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group. Cyclotomic Fields I-II Lang, Serge, Springer
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ISBN: 9780387966717
ID: 9780387966717
Cyclotomic Fields I and II Cyclotomic-Fields-I-and-II~~Serge-Lang Science>Mathematics>Mathematics Hardcover, Springer New York
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1989, ISBN: 9780387966717
ID: 1176437
[ED: 2], 2nd ed. 1990, Hardcover, Buch, [PU: Springer-Verlag New York Inc.]
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Title: | Cyclotomic Fields I and II |
ISBN: | 0387966714 |
Details of the book - Cyclotomic Fields I and II
EAN (ISBN-13): 9780387966717
ISBN (ISBN-10): 0387966714
Hardcover
Publishing year: 2007
Publisher: Springer-Verlag GmbH
458 Pages
Weight: 0,877 kg
Language: eng/Englisch
Book in our database since 28.05.2007 14:44:13
Book found last time on 13.10.2016 22:21:33
ISBN/EAN: 0387966714
ISBN - alternate spelling:
0-387-96671-4, 978-0-387-96671-7
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