Transformation Geometry
An Introduction to Symmetry
Seiten
1996
|
198., Corr. 4th printing
Springer Berlin (Hersteller)
978-3-540-90636-0 (ISBN)
Springer Berlin (Hersteller)
978-3-540-90636-0 (ISBN)
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Autorenporträt:
Contents: Introduction.- Properties of Transformations.- Translations and Halfturns.- Reflections.- Congruence.- The Product of Two Reflections.- Even Isometries.- Classification of Plane Isometries.- Equations for Isometries.- The Seven Frieze Groups.- The Seventeen Wallpaper Groups.- Tessellations.- Similarities on the Plane.- Classical Theorems.- Affine Transformations.- Transformations on Three-Space.- Space and Symmetry.- Hints and Answers.- Notation Index.- Index.
This is a modern approach to Euclidean geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers. A separate instruction manual is available.
Contents: Introduction.- Properties of Transformations.- Translations and Halfturns.- Reflections.- Congruence.- The Product of Two Reflections.- Even Isometries.- Classification of Plane Isometries.- Equations for Isometries.- The Seven Frieze Groups.- The Seventeen Wallpaper Groups.- Tessellations.- Similarities on the Plane.- Classical Theorems.- Affine Transformations.- Transformations on Three-Space.- Space and Symmetry.- Hints and Answers.- Notation Index.- Index.
| Reihe/Serie | Undergraduate Texts in Mathematics |
|---|---|
| Zusatzinfo | 222 figs. |
| Sprache | deutsch |
| Gewicht | 514 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Abbildungsgeometrie • euklidische Geometrie • HC/Mathematik/Geometrie • Transformation (Math.) • Transformation (Mathematik) |
| ISBN-10 | 3-540-90636-3 / 3540906363 |
| ISBN-13 | 978-3-540-90636-0 / 9783540906360 |
| Zustand | Neuware |
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