Description

Book Synopsis
The fundamental idea of geometry is that of symmetry. With that principle as the starting point, this book presents a study of Euclidean geometry. It focuses on transformations of the plane. It contains hundreds of exercises. It is suitable for a one-semester undergraduate course on geometry.

Table of Contents
Foundations of geometry in the plane Isometries in the plane: Products of reflections Isometries in the plane: Classification and structure Similarities in the plane Conjugacy and geometric equivalence Applications to plane geometry Symmetric figures in the plane Frieze and wallpaper groups Area, volume, and scaling References Index.

Continuous Symmetry from Euclid to Klein from

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    A Hardback by William Barker, Roger Howe

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      View other formats and editions of Continuous Symmetry from Euclid to Klein from by William Barker

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/11/2007
      ISBN13: 9780821839003, 978-0821839003
      ISBN10: 0821839004

      Description

      Book Synopsis
      The fundamental idea of geometry is that of symmetry. With that principle as the starting point, this book presents a study of Euclidean geometry. It focuses on transformations of the plane. It contains hundreds of exercises. It is suitable for a one-semester undergraduate course on geometry.

      Table of Contents
      Foundations of geometry in the plane Isometries in the plane: Products of reflections Isometries in the plane: Classification and structure Similarities in the plane Conjugacy and geometric equivalence Applications to plane geometry Symmetric figures in the plane Frieze and wallpaper groups Area, volume, and scaling References Index.

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