Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Set Theory for the Working Mathematician
  • Cited by 76
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      28 August 1997
      ISBN:
      9781139173131
      9780521594417
      9780521594653
      DOI:
      https://doi.org/10.1017/CBO9781139173131
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.53kg, 252 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.345kg, 252 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding
      Series:
      London Mathematical Society Student Texts (39)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Student Texts (39)
    Information

    Book description

    This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.

    Reviews

    ‘ … the author has produced a very valuable resource for the working mathematician. Postgraduates and established researchers in many (perhaps all) areas of mathematics will benefit from reading it.’

    Ian Tweddle Source: Proceedings of the Edinburgh Mathematical Society

    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.