Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. The Banach-Tarski Paradox
  • Cited by 161
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      05 August 2012
      23 May 1985
      ISBN:
      9780511609596
      DOI:
      https://doi.org/10.1017/CBO9780511609596
      Dimensions:
      Weight & Pages:
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Abstract Analysis
      Series:
      Encyclopedia of Mathematics and its Applications (24)
    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, Abstract Analysis
    Series:
    Encyclopedia of Mathematics and its Applications (24)
    Information

    Book description

    The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems.

    Reviews

    ‘ … a readable and stimulating book.’

    Ward Henson Source: American Scientist

    ‘ … packed with fascinating and beautiful results.’

    R. J. Gardner Source: Bulletin of the London Mathematical Society

    ‘ … this beautiful book is written with care and is certainly worth reading.’

    Wlodzimierz Bzyl Source: Mathematical Reviews

    'In 1985 Stan Wagon wrote The Banach-Tarski Paradox, which not only became the classic text on paradoxical mathematics, but also provided vast new areas for research. The new second edition, co-written with Grzegorz Tomkowicz, a Polish mathematician who specializes in paradoxical decompositions, exceeds any possible expectation I might have had for expanding a book I already deeply treasured. The meticulous research of the original volume is still there, but much new research has also been included.'

    John J. Watkins Source: MAA Reviews

    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.