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Configurations of Points and Lines
 
Branko Grünbaum University of Washington, Seattle, WA
Front Cover for Configurations of Points and Lines
Available Formats:
Hardcover ISBN: 978-0-8218-4308-6
Product Code: GSM/103
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Electronic ISBN: 978-1-4704-1167-1
Product Code: GSM/103.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $126.00
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Front Cover for Configurations of Points and Lines
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  • Front Cover for Configurations of Points and Lines
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Configurations of Points and Lines
Branko Grünbaum University of Washington, Seattle, WA
Available Formats:
Hardcover ISBN:  978-0-8218-4308-6
Product Code:  GSM/103
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Electronic ISBN:  978-1-4704-1167-1
Product Code:  GSM/103.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1032009; 399 pp
    MSC: Primary 01; 05; 51; 52;

    This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The author's contributions are central to this revival. In particular, he initiated the study of 4-configurations (that is, those that contain four points on each line, and four lines through each point); the results are fully described in the text. The main novelty in the approach to all geometric configurations is the concentration on their symmetries, which make it possible to deal with configurations of rather large sizes. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it.

    Readership

    Undergraduate students, graduate students, and research mathematicians interested in an active field of visually accessible geometry and the applicability of computer graphics.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Beginnings
    • Chapter 2. 3-Configurations
    • Chapter 3. 4-Configurations
    • Chapter 4. Other configurations
    • Chapter 5. Properties of configurations
    • Postscript
    • Appendix: The Euclidean, projective, and extended Euclidean planes
  • Reviews
     
     
    • ...the book is almost entirely self-contained, and the author has a tone that is extremely readable... I think many authors could learn a thing or two about readability from Grünbaum, and reading his book was a real pleasure.

      MAA Reviews
    • This is the only book on the topic of geometric configurations of points and lines. [It] brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as enticing them to try their hand at expanding it.

      Mathematical Reviews
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Volume: 1032009; 399 pp
MSC: Primary 01; 05; 51; 52;

This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The author's contributions are central to this revival. In particular, he initiated the study of 4-configurations (that is, those that contain four points on each line, and four lines through each point); the results are fully described in the text. The main novelty in the approach to all geometric configurations is the concentration on their symmetries, which make it possible to deal with configurations of rather large sizes. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it.

Readership

Undergraduate students, graduate students, and research mathematicians interested in an active field of visually accessible geometry and the applicability of computer graphics.

  • Chapters
  • Chapter 1. Beginnings
  • Chapter 2. 3-Configurations
  • Chapter 3. 4-Configurations
  • Chapter 4. Other configurations
  • Chapter 5. Properties of configurations
  • Postscript
  • Appendix: The Euclidean, projective, and extended Euclidean planes
  • ...the book is almost entirely self-contained, and the author has a tone that is extremely readable... I think many authors could learn a thing or two about readability from Grünbaum, and reading his book was a real pleasure.

    MAA Reviews
  • This is the only book on the topic of geometric configurations of points and lines. [It] brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as enticing them to try their hand at expanding it.

    Mathematical Reviews
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