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Flatland
An Edition with Notes and Commentary

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William F. Lindgren, Thomas F. Banchoff
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  • Date Published: February 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521759946

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About the Authors
  • Flatland, Edwin Abbott's story of a two-dimensional universe, as told by one of its inhabitants who is introduced to the mysteries of three-dimensional space, has enjoyed an enduring popularity from the time of its publication in 1884. This fully annotated edition enables the modern-day reader to understand and appreciate the many 'dimensions' of this classic satire. Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry. Historical notes show connections to late-Victorian England and to classical Greece. Citations from Abbott's other writings as well as the works of Plato and Aristotle serve to interpret the text. Commentary on language and literary style includes numerous definitions of obscure words. An appendix gives a comprehensive account of the life and work of Flatland's remarkable author.

    • Annotations include historical notes, citations from the author's other writings as well as the works of Plato and Aristotle, and commentary on language and literary style
    • Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry
    • An appendix gives a comprehensive biographical account of the life and work of Edwin Abbott
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    Product details

    • Date Published: February 2010
    • format: Paperback
    • isbn: 9780521759946
    • length: 306 pages
    • copublisher: Mathematical Association of America
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.41kg
    • contains: 44 b/w illus. 1 table
    • availability: Available
  • Table of Contents

    Introduction William F. Lindgren and Thomas F. Banchoff
    Part I. This World:
    1. Of the nature of Flatland
    2. Of the climate and houses in Flatland
    3. Concerning the inhabitants of Flatland
    4. Concerning the women
    5. Of our methods of recognizing one another
    6. Of recognition by sight
    7. Concerning irregular figures
    8. Of the ancient practice of painting
    9. Of the universal colour bill
    10. Of the suppression of the chromatic sedition
    11. Concerning our priests
    12. Of the doctrine of our priests
    Part II. Other Worlds:
    13. How I had a vision of Lineland
    14. How in my vision I endeavoured to explain the nature of Flatland, but could not
    15. Concerning a stranger from Spaceland
    16. How the stranger vainly endeavoured to reveal to me in words the mysteries of Spaceland
    17. How the sphere, having in vain tried words, resorted to deeds
    18. How I came to Spaceland and what I saw there
    19. How, though the sphere showed me other mysteries of Spaceland, I still desired more, and what came of it
    20. How the sphere encouraged me in a vision
    21. How I tried to teach the theory of three dimensions to my grandson, and with what success
    22. How I then tried to diffuse the theory of three dimensions by other means, and of the result
    Appendix A. Critical reaction to Flatland
    Appendix B. Biography and chronology of Edwin A. Abbott
    References and recommended reading.

  • Authors

    Edwin A. Abbott

    William F. Lindgren, Slippery Rock University of Pennsylvania
    William F. Lindgren is a Professor of Mathematics at Slippery Rock University. He is the author of Quasi-Uniform Spaces (1982) with Peter Fletcher and has given many talks about Flatland at various conferences, including the Joint Meetings of the AMS/MAA.

    Thomas F. Banchoff, Brown University, Rhode Island
    Thomas F. Banchoff is a Professor of Mathematics at Brown University. He is the author of Beyond the Third Dimension and Linear Algebra Through Geometry (with John Wermer) and the editor of a reprint of Henry P. Manning's The Fourth Dimension Simply Explained.

    Contributors

    William F. Lindgren, Thomas F. Banchoff

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