Description

Book Synopsis
This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels.

Trade Review
Many readers will be hooked by Cannon's aesthetics and proof exposition, where geometric intuition and topological arguments play leading roles...Cannon's books are worth every cent. I have in the past gifted Hilbert & Cohn-Voseen and Rademacher and Toeplitz to my students. Now I have Cannon's trio to add to my list of giftables." — Tushar Das, MAA Reviews

"The presentation is accessible, generously illustrated, and supported by exercises." — Viktor Blasjö, Mathematical Reviews

Table of Contents
  • Lengths-The Pythagorean theorem
  • Consequences of the Pythagorean theorem
  • Areas
  • Areas by slicing and scaling
  • Areas by cut and paste
  • Areas by counting
  • Unsolvable problems in Euclidean geometry
  • Does every set have a size?
  • Bibliography

    Geometry of Lengths Areas and Volumes TwoDimensional Spaces Volume 1

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      £46.80

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      RRP £5,200.00 – you save £5,153.20 (99%)

      Order before 4pm today for delivery by Mon 10 Aug 2026.

      A Paperback by James W. Cannon

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        View other formats and editions of Geometry of Lengths Areas and Volumes TwoDimensional Spaces Volume 1 by James W. Cannon

        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 12/30/2017 12:00:00 AM
        ISBN13: 9781470437145, 978-1470437145
        ISBN10: 1470437147

        Description

        Book Synopsis
        This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels.

        Trade Review
        Many readers will be hooked by Cannon's aesthetics and proof exposition, where geometric intuition and topological arguments play leading roles...Cannon's books are worth every cent. I have in the past gifted Hilbert & Cohn-Voseen and Rademacher and Toeplitz to my students. Now I have Cannon's trio to add to my list of giftables." — Tushar Das, MAA Reviews

        "The presentation is accessible, generously illustrated, and supported by exercises." — Viktor Blasjö, Mathematical Reviews

        Table of Contents
        • Lengths-The Pythagorean theorem
        • Consequences of the Pythagorean theorem
        • Areas
        • Areas by slicing and scaling
        • Areas by cut and paste
        • Areas by counting
        • Unsolvable problems in Euclidean geometry
        • Does every set have a size?
        • Bibliography

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