Number fields

Number fields

by Marcus, Daniel A.

Type Book
Rate 0.0 /5

"Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, 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"--Provided by publisher

Read More ↓
Details
Files
Reviews
Download

Title Statements

  • Full title :Number fields / Daniel A. Marcus ; typeset in Latex by Emanuele Sacco.

Summary

"Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, 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"--Provided by publisher

Read More ↓

Edition Statements

  • Publication Date:©2018
  • Edition:Second edition

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham
  • Language:eng
  • Publication Date:©2018

The Physical Object

  • Description:xviii, 203 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9783319902326, 3319902326
  • oclc:on1047919979
  • LC Classification:QA247
  • Dewey Decimal:512.4

Table of Contents

A special case of Fermat's conjecture -- Number fields and number rings -- Prime decomposition in number rings -- Galois theory applied to prime decomposition -- The ideal class group and the unit group -- The distribution of ideals in a number ring -- The Dedekind zeta function and the class number formula -- The distribution of primes and an introduction to class field theory -- Appendix 1: Commutative rings and ideals -- Appendix 2: Galois theory for subfields of c -- Appendix 3: Finite fields and rings -- Appendix 4: Two pages of primes.

Read More ↓

Subjects

Algebraic fields Algebraic number theory Corps algébriques Théorie algébrique des nombres

Writers

Marcus, Daniel A.

More from this Series

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    2002
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    c2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

Rate & Review

0.0/5
(0 people Voted)

No reviews yet. Be the first to rate this work.

Files & Downloads

  • Number fields -- (.pdf)

    PDF · 2.3 MB · updated
    Login →

  • Number fields -- (.pdf)

    PDF · 1.9 MB · updated
    Login →

  • Number fields -- (.pdf)

    PDF · 1.3 MB · updated
    Login →