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The Theory of Classical Valuations (Hardcover, 1999 ed.) Loot Price: R2,934
Discovery Miles 29 340
The Theory of Classical Valuations (Hardcover, 1999 ed.): Paulo Ribenboim
The Theory of Classical Valuations (Hardcover, 1999 ed.): Paulo Ribenboim

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The Theory of Classical Valuations (Hardcover, 1999 ed.)

Paulo Ribenboim

Series: Springer Monographs in Mathematics

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Loot Price R2,934 Discovery Miles 29 340 | Repayment Terms: R272 pm x 12*

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In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive "p"-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of "p"-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the "p"-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Springer Monographs in Mathematics
Release date: May 1999
First published: 1999
Authors: Paulo Ribenboim
Dimensions: 235 x 155 x 23mm (L x W x T)
Format: Hardcover
Pages: 403
Edition: 1999 ed.
ISBN-13: 978-0-387-98525-1
Barcode: 9780387985251
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
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Books > Science & Mathematics > Mathematics > Algebra
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Mathematical foundations
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
LSN: 0-387-98525-5

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