The Poincare Half-Plane: A Gateway to Modern Geometry / Edition 1

The Poincare Half-Plane: A Gateway to Modern Geometry / Edition 1

by Saul Stahl
     
 

ISBN-10: 086720298X

ISBN-13: 9780867202984

Pub. Date: 04/09/1993

Publisher: Jones & Barlett Learning

Product Details

ISBN-13:
9780867202984
Publisher:
Jones & Barlett Learning
Publication date:
04/09/1993
Series:
Math Series
Edition description:
Older Edition
Pages:
312
Product dimensions:
6.00(w) x 9.30(h) x 0.90(d)

Table of Contents

Preface
Chapter Dependencies
Ch. 1Euclidean Geometry1
Ch. 2Euclidean Rigid Motions35
Ch. 3Inversions51
Ch. 4The Hyperbolic Plane63
Ch. 5Euclidean Versus Hyperbolic Geometry79
Ch. 6The Angles of the Hyperbolic Triangle93
Ch. 7Hyperbolic Area109
Ch. 8The Trigonometry of the Hyperbolic Triangle119
Ch. 9Complex Numbers and Rigid Motions131
Ch. 10Absolute Geometry and the Angles of the Triangle161
Ch. 11Spherical Trigonometry and Elliptic Geometry167
Ch. 12Differential Geometry and Gaussian Curvature183
Ch. 13The Cross Ratio and the Unit Disk Model207
Ch. 14The Beltrami-Klein Model233
Ch. 15A Brief History of Non-Euclidean Geometry247
Ch. 16Spheres and Horospheres257
Appendix277
Bibliography293
Index295

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