Cyclotomic Fields: 59 (Graduate Texts in Mathematics, 59) - Image 1

£29.46

Springer Cyclotomic Fields: 59 (Graduate Texts in Mathematics, 59)

Name: Cyclotomic Fields: 59 (Graduate Texts in Mathematics, 59)
Brand: Springer
Price: 29.46 GBP
Availability: InStock

Mathematical Theory

It has never been this cheap. We have no record of a lower price.

£29 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 56 days • 56 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 56 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £40 (39 days, 69.6%)

Price range: £29 - £40

Price levels: 2 different prices over 56 days

Description

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. 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 [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950's, 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 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. Finally, in the late 1960's, Iwasawa [Iw 1 I] . made the fundamental discovery that there was a close connection between his work on towers of cyclotomic fields and these p-adic L-functions of Leopoldt-Kubota.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1461299470
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Publication Date: 06 November 2011
Listed Since: 21 December 2012

Barcode

No barcode data available

Springer Cyclotomic Fields: 59 (Graduate Texts in Mathematics, 59)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Cyclotomic Fields I and II: 121 (Graduate Texts in Mathematics, 121)

Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Elementary Modular Iwasawa Theory: 16 (Series On Number Theory And Its Applications)

Algebraic Number Theory and Fermat's Last Theorem

The Geometry and Cohomology of Some Simple Shimura Varieties.: 151 (Annals of Mathematics Studies, 151)

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Local Fields and Their Extensions: Second Edition Book

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

L-Functions and Automorphic Forms: LAF, Heidelberg, February 22-26, 2016: 10 (Contributions in Mathematical and Computational Sciences, 10)

L-Functions and Automorphic Forms: LAF, Heidelberg, February 22-26, 2016: 10 (Contributions in Mathematical and Computational Sciences, 10)

Valued Fields (Springer Monographs in Mathematics)

Rigid Character Groups, Lubin-Tate Theory, and $( arphi ,Gamma )$-Modules (Memoirs of the American Mathematical Society)

GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES (2ND EDITION)

L-Functions and Galois Representations: 320 (London Mathematical Society Lecture Note Series, Series Number 320)

Lectures in Abstract Algebra: III. Theory of Fields and Galois Theory: 32 (Graduate Texts in Mathematics, 32)

Field and Galois Theory: 167 (Graduate Texts in Mathematics, 167)

Field and Galois Theory: 167 (Graduate Texts in Mathematics, 167)

Galois Groups over ?: Proceedings of a Workshop Held March 23–27, 1987: 16 (Mathematical Sciences Research Institute Publications, 16)

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts: (AMS-215) (Annals of Mathematics Studies, 215)

The Fourier-Analytic Proof of Quadratic Reciprocity: 41 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

An Introduction to Algebraic Number Theory (University Series in Mathematics)

Local Fields: 67 (Graduate Texts in Mathematics, 67)

Local Fields: 67 (Graduate Texts in Mathematics, 67)