Saul Stahl’s book begins with a condensed overview of synthetic Euclidean geometry, which includes a good selection of theorems about. A Gateway to Modern Geometry: The Poincare Half-Plane development of modern geometry that brings them closer to current geometric research. Stahl’s Second Edition continues to provide students with the elementary and constructive development of modern geometry that brings them closer to current.
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Euclidean geometry — Euclidean rigid motions half-plsne 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 — Appendix: Please verify that you are not a robot.
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A Gateway to Modern Geometry: The Poincare Half-Plane: Saul Stahl: : Books
The Poincaré half-plane : a gateway to modern geometry
English View all editions and formats Summary: 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.
Saul Stahl Find more information about: Showing of 4 reviews. More often than not questions will simply be asked of the student without prior explanation of the material. Buy the selected items together This item: Poincafe the s, over fifty years after the discovery of the hyperbolic plane, Poincare pointed out that this plane provides a very useful context for describing the properties of the solutions of an important class of differential equations.
I bought this book for self study and thought it was very good.