Skip to main content
SpringerLink
Log in
Book cover
  • Textbook
  • © 1978

A Classical Invitation to Algebraic Numbers and Class Fields

Authors:

  1. Harvey Cohn

    1. City College, City University of New York, New York, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

Sections

Buy it now

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (19 chapters)

  1. Front Matter

    Pages I-XIII
    PDF

  2. Preliminaries

    1. Front Matter

      Pages N1-N1
      PDF

    3. Algebraic Background

      • Harvey Cohn
      Pages 6-16

    4. Quadratic Euclidean Rings

      • Harvey Cohn
      Pages 17-23

    5. Congruence Classes

      • Harvey Cohn
      Pages 24-33

    6. Polynomial Rings

      • Harvey Cohn
      Pages 34-41

    7. Dedekind Domains

      • Harvey Cohn
      Pages 42-52

    8. Extensions of Dedekind Domains

      • Harvey Cohn
      Pages 53-65

    9. Rational and Elliptic Functions

      • Harvey Cohn
      Pages 66-71

  3. Ideal Structure in Number Fields

    1. Front Matter

      Pages N2-N2
      PDF

    2. Basis and Discriminant

      • Harvey Cohn
      Pages 72-85

    3. Prime Factorization

      • Harvey Cohn
      Pages 86-101

    4. Units

      • Harvey Cohn
      Pages 102-113

    5. Geometry of Numbers

      • Harvey Cohn
      Pages 114-124

    6. Finite Determination of Class Number

      • Harvey Cohn
      Pages 125-136

  4. Introduction to Class Field Theory

    1. Front Matter

      Pages N3-N3
      PDF

    2. Quadratic Forms, Rings and Genera

      • Harvey Cohn
      Pages 137-162

    4. Hilbert Sequences

      • Harvey Cohn
      Pages 188-207
Back to top

Keywords

Back to top

Authors and Affiliations

  • City College, City University of New York, New York, USA

    Harvey Cohn

Back to top

Bibliographic Information

  • Book Title: A Classical Invitation to Algebraic Numbers and Class Fields

  • Authors: Harvey Cohn

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4612-9950-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1978

  • Softcover ISBN: 978-0-387-90345-3Published: 21 September 1978

  • eBook ISBN: 978-1-4612-9950-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: 328

  • Topics: Number Theory

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation