The Poincaré Half-plane: A Gateway to Modern Geometry

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Jones & Bartlett Learning, Jan 1, 1993 - Mathematics - 298 pages
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The Poincare Half-Planeprovides an elementary and constructive development of this geometry that brings the undergraduate major closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor.
  

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Contents

EUCLIDEAN RIGID MOTIONS
35
INVERSIONS
51
THE HYPERBOLIC PLANE
63
EUCLIDEAN VERSUS HYPERBOLIC GEOMETRY
79
THE ANGLES OF THE HYPERBOLIC TRIANGLE
93
HYPERBOLIC AREA
109
THE TRIGONOMETRY OF THE HYPERBOLIC
119
The general hyperbolic triangle
125
A review of lengths and areas on surfaces
190
Gausss formula for the curvature at a point
196
Exercises
205
The unit disk model and its flow diagrams
213
Explicit rigid motions of the unit disk model
221
Regular tesselations of the unit disk model
228
A BRIEF HISTORY OF NONEUCLIDEAN
247
Exercises
254

COMPLEX NUMBERS AND RIGID MOTIONS
131
ABSOLUTE GEOMETRY AND THE ANGLES
161
DIFFERENTIAL GEOMETRY AND GAUSSIAN
183
APPPENDIX
277
BIBLIOGRAPHY
293
Copyright

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Poincaré half-plane model - Wikipedia, the free encyclopedia
From Wikipedia, the free encyclopedia. Jump to: navigation, search. Stellated Regular Eptagonal Tiling of the model. Stellated Regular Eptagonal Tiling of ...
en.wikipedia.org/ wiki/ Poincar%C3%A9_half-plane_model

Suggestions for non-euclidean geometry (analytical) books?
The Poincaré Half-Plane - A Gateway to Modern Geometry by Saul Stahl. The latter, as the title denotes, deals with the half plane, and has limited content ...
www.physicsforums.com/ showthread.php?t=222201

Annotated Bibliography
Annotated Bibliography. This bibliography consists of books (and other items) that are referenced in this book, books used in the writing this book, ...
www.math.cornell.edu/ ~dwh/ books/ eg00/ 00EG-biblio/

Geometry
Cover: Euclidean and Transformational Geometry: A Deductive Inquiry · Euclidean and Transformational Geometry: A Deductive Inquiry Shlomo Libeskind ...
www.jbpub.com/ math/ geometry/

Stahl Saul | English Bookstore in Czech Republic
The Poincare Half-Plane; Introduction To Topology And Modern Geometry
www.bookfayre.cz/ books/ name/ saul_stahl.1047147.html.cs

The Poincare Half-Plane - Boek - BESLIST.nl
Bekijk en vergelijk informatie, beoordelingen, vragen & antwoorden en de beste winkels voor 'The Poincare Half-Plane' op BESLIST.nl ▪ Boeken Engels ...
boeken_engels.beslist.nl/ boeken_engels/ d0000083455/ The_Poincare_Half-Plane.html

중앙대학교 수학과에 오신것을 환영합니다~* :)
학과 내 서적. 수학과 학생에 한해 과사에 문의하시면 빌려드립니다. Ctrl-F 키를 누르시면 원하시는 책을 보다 빨리 찾으실수 있습니다. ball.gif ...
math.cau.ac.kr/ index.php?menu=lecture& sub_menu=2_3

Drawing Graphs in the Hyperbolic Plane
Drawing Graphs in the Hyperbolic Plane. Bojan Mohar. ⋆. Department of Mathematics, University of Ljubljana. 1111 Ljubljana, Slovenia. bojan.mohar@uni-lj.si ...
www.springerlink.com/ index/ 8f0xvueldr1gxc0b.pdf

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