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Number Fields

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Springer, Sep 30, 1977 - Mathematics - 279 pages
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

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References from web pages

JSTOR: A Simple Construction of Genus Fields of Abelian Number Fields
Kn, Ki are cyclic number fields of degree 1. PROOF. The results of [6] show that the ramification index e(p) is always 1 for every ramified prime p. ...
links.jstor.org/ sici?sici=0002-9939(198507)94%3A3%3C393%3AASCOGF%3E2.0.CO%3B2-Z

The group of pythagorean triples in Number fields
For the general theory of algebraic number fields, we refer to the books by. MARCUS [3] and by NARKIEWICZ [4]. In the sequel we shall denote by K a ...
www.springerlink.com/ index/ LJL8236353078736.pdf

phd Course Details (Mathematics Dept.)
Number fields and Number rings, Prime decomposition in number rings, ... Janusz gj , Algebraic Number Fields, GSM, Vol-7 (2nd Ed., )AMS, 1996. ...
www.iitg.ernet.in/ maths/ courses_details_phd.htm

Review: Robert L. Long, Algebraic number theory, and Harvey Cohn ...
Daniel A. Marcus, Number fields. Universitext, Springer-Verlag, New York and Berlin, 1977, viii + 279 pp.,$14.00. Full-text: Access by subscription ...
projecteuclid.org/ handle/ euclid.bams/ 1183546240

planetmath: algebraic number theory
Read about splitting and ramification in number fields and Galois extensions for a ... Explicit examples of prime ideal decomposition in number fields. ...
planetmath.org/ encyclopedia/ AlgebraicNumberTheory.html

Mathematics of Computation
V. Acciaro, J. Klüners, Computing automorphisms of abelian number fields, Math. Comp. ... S. Landau, Factoring polynomials over algebraic number fields, ...
www.ams.org/ mcom/ 2004-73-248/ S0025-5718-03-01620-X/ home.html

Basic Library List-Number Theory
Janusz, Gerald J. Algebraic Number Fields. ... Marcus, Daniel A. Number Fields. Springer-Verlag New York, 1997. ISBN 0387902791 ...
www.maa.org/ BLL/ numtheory.htm

number fields - mathscope
number fields Tài Liệu/Document. ... Mình đang rất cần : da Marcus: "Number Fields", Springer Universitext, 1977 . Bạn nào có cho mình xin, sẽ hậu tạ. ...
mathscope.org/ forum/ showthread.php?t=1765

On Certain Cohomological Invariants of Algebraic Number Fields
Galois extension K/k of algebraic number fields and R is the ring O .... where G is the Galois group of a finite Galois field extension K/k of number fields ...
mathnt.mat.jhu.edu/ mathnew/ EKLee_thesis.pdf

ISIS kurser - Algebraic Number Theory
Course-description: Algebraic number fields and rings of algebraic integers, Dedekind rings, prime ideals and decomposition, Minkowski's geometry of numbers ...
isis.ku.dk/ kurser/ index.aspx?kursusid=23234& xslt=simple6& param1=70107& param8=false

Bibliographic information

QR code for Number Fields
TitleNumber Fields
Universitext (1979)
Universitext - Springer-Verlag
Universitext Series
AuthorDaniel A. Marcus
Editionillustrated, revised
PublisherSpringer, 1977
ISBN0387902791, 9780387902791
Length279 pages
Subjects ›  › 

Mathematics / Algebra / General
Mathematics / Number Theory
  
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