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Continuous symmetry : from Euclid to Klein

Author: William H Barker; Roger Howe
Publisher: Providence, R.I. : American Mathematical Society, ©2007.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry." "The primary focus of the book is on transformations of the plane. The transformational point of view provides both a path for deeper understanding of traditional synthetic geometry and tools for providing proofs that spring from a  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William H Barker; Roger Howe
ISBN: 9780821839003 0821839004
OCLC Number: 150256520
Description: xxi, 546 pages : illustrations (some color) ; 27 cm
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.
Responsibility: William Barker, Roger Howe.
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Abstract:

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  Read more...

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