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Gateway to Modern Geometry: the Poincare Half-Plane

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ISBN-10: 0763753815

ISBN-13: 9780763753818

Edition: 2nd 2008 (Revised)

Authors: Saul Stahl

List price: $109.95
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Description:

Stahl's Second Edition continues to provide students withthe elementary and constructive development of modern geometry that brings them closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcingthe students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor. This distinct approach makes these advanced geometry principles accessible to undergraduates and graduates alike.
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Book details

List price: $109.95
Edition: 2nd
Copyright year: 2008
Publisher: Jones & Bartlett Learning, LLC
Publication date: 12/11/2007
Binding: Paperback
Pages: 256
Size: 7.50" wide x 9.25" long x 0.50" tall
Weight: 1.738
Language: English

Euclidean Geometry
Euclidean Rigid Motions
Inversions
The Hyperbolic Plane
Euclidean Versus Hyperbolic Geometry
The Angles of the Hyperbolic Triangle
Hyperbolic Area
The Trigonometry of the Hyperbolic Triangle
Complex Numbers and Rigid Motions
Absolute Geometry and the Angles of the Triangle
Spherical Trigonometry and Elliptic Geometry
Differential Geometry and Gaussian Curvature
The Cross-Ratio and the Unit Disk Model
The Beltrami-Klein Model
A Brief History of Non-Euclidean Geometry
Spheres and Horospheres
Proofs of Some of Euclid's Propositions
Formulas for Hyperbolic Trigonometric Functions
Sources, References and Suggested Readings
Index
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