Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Field Theory and its Classical Problems
  • Cited by 1
    • The digital format of this book is no longer available to purchase from Cambridge Core. Other formats may be available.
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Mathematical Association of America
      Publication date:
      Invalid date
      June 1975
      ISBN:
      9780883850206
      9780883850329
      DOI:
      https://doi.org/10.1017/CBO9781614440192
      Dimensions:
      Weight & Pages:
      00kg,
      Dimensions:
      Weight & Pages:
      00kg,
      • Subjects:
      Mathematics, Algebra
      Series:
      Carus Mathematical Monographs
    You may already have access via personal or institutional login
    Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Algebra
    Series:
    Carus Mathematical Monographs
    Information

    Book description

    Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the constructibility of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals, and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of groups, fields, or abstract algebra is assumed. Notable topics treated along this route include the transcendence of e and of pi, cyclotomic polynomials, polynomials over the integers, Hilbert's, irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems. Field Theory and its Classical Problems is a winner of the MAA Edwin Beckenbach Book Prize for excellence in mathematical exposition.

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.