# e-Book Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2) download

## by Karl Rubin,Serge Lang

**ISBN:**0387966714

**ISBN13:**978-0387966717

**Language:**English

**Publisher:**Springer; 2nd edition (December 18, 1989)

**Pages:**436

**Category:**Mathematics

**Subategory:**Math Science

**ePub size:**1571 kb

**Fb2 size:**1873 kb

**DJVU size:**1853 kb

**Rating:**4.1

**Votes:**891

**Other Formats:**docx lrf lit lrf

Series: Graduate Texts in Mathematics (Book 121). Back to top. Get to Know Us. Careers.

Series: Graduate Texts in Mathematics (Book 121). Hardcover: 436 pages. ISBN-13: 978-0387966717. Product Dimensions: . x . inches.

Graduate Texts in Mathematics. Cyclotomic Fields II. 70 MASSEY. Singular Homology Theory. The book is divided into six Parts. Parts I and III could be the basis for a useful course in algebraic topology (which might also include Sects. Graduate Texts in Mathematics. Introduction to Axiomatic Set Theory. I have divided this material up, and placed it, with group theory in mind. Part II is about niteness properties of groups, including both the theory and some key examples. This is a topic that does not involve asymptotic or end-theoretic invariants.

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Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by. .Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas

Kummer's 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. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals.

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Kummer's 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. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek, Artin-Hasse and Vandiver.

Cyclotomic Fields (Graduate Texts in Mathematics)

Cyclotomic Fields (Graduate Texts in Mathematics). Local Fields (Graduate Texts in Mathematics 67). Local Fields (Graduate Texts in Mathematics).

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in.Cyclotomic Fields II, Serge Lang (1980

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. Cyclotomic Fields II, Serge Lang (1980, ISBN 978-1-4684-0088-5). Singular Homology Theory, William S. Massey (1980

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