ENGLISH

Notes on Geometry

By Elmer G. Rees

Book information

Publisher
Springer
Year
1983
ISBN
354012053x, 9783540120537, 9783642617775
Language
english
Format
DJVU
Filesize
2 MB (1719215 bytes)
Pages
\114
Time added
2022-04-02 20:57:00

Description

Cover Title page Introduction Part I: Euclidean Geometry The Linear Groups The Relationship Between O(n) and GL(n,R) Affine Subspaces and Affine Independence Isometries of R^n Isometries of R² Isometries of R³ Some Subsets of R³ Finite Groups of Isometries The Platonic Solids Duality The Symmetry Groups of the Platonic Solids Finite Groups of Rotations of R³ Crystals Rotations and Quaternions Problems Part II: Projective Geometry Homogeneous Co-ordinates The Topology of P¹ and P² Duality Projective Groups The Cross-Ratio Fixed Points of Projectivities The Elliptic Plane Conics Diagonalization of Quadratic Forms Polarity Problems Part III: Hyperbolic Geometry The Parallel Axiom The Beltrami (or projective) Model Stereographie Projection The Poincaré Model The Local Metric Areas Trigonometry Hyperbolic Trigonometry Lines and Polarity Isometries Elliptic Trigonometry Problems Further Reading List of Symbols Index

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