Skip to main content
SpringerLink
Log in
Book cover
  • Textbook
  • © 1977

Number Fields

Authors:

  1. Daniel A. Marcus

    1. Department of Mathematics, California State Polytechnic University, Pomona, 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 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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 (8 chapters)

  1. Front Matter

    Pages i-viii
    PDF

  2. A special case of Fermat’s conjecture

    • Daniel A. Marcus
    Pages 1-11

  3. Number fields and number rings

    • Daniel A. Marcus
    Pages 12-54

  4. Prime decomposition in number rings

    • Daniel A. Marcus
    Pages 55-97

  5. Galois theory applied to prime decomposition

    • Daniel A. Marcus
    Pages 98-129

  6. The ideal class group and the unit group

    • Daniel A. Marcus
    Pages 130-157

  7. The distribution of ideals in a number ring

    • Daniel A. Marcus
    Pages 158-181

  10. Back Matter

    Pages 251-279
    PDF
Back to top

About this book

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.
Back to top

Keywords

Back to top

Authors and Affiliations

  • Department of Mathematics, California State Polytechnic University, Pomona, USA

    Daniel A. Marcus

Back to top

Bibliographic Information

  • Book Title: Number Fields

  • Authors: Daniel A. Marcus

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4684-9356-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1977

  • eBook ISBN: 978-1-4684-9356-6Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: 292

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Number Theory, Algebra

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation