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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Math: The Poincare Half-Plane : A Gateway to Modern Geometry by Saul Stahl (, Hardcover) | eBay
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Be the first to write a review. About this product Synopsis In the s, over fifty years after the discovery of the hyperbolic plane, Poincare pointed out that this plane provides a halr-plane useful context for describing the properties of the solutions of an important class of differential equations.
Math: The Poincare Half-Plane : A Gateway to Modern Geometry by Saul Stahl (1993, Hardcover)
Topics include Euclidean rigid motions, inversions, Euclidea 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.
The text is designed at an undergraduate level: Modern Geometry The text is designed at an undergraduate level: Euclidean Rigid MotionsChapter 3. The Hyperbolic PlaneChapter 5. Euclidean Versus Hyperbolic GeometryChapter 6.
The Poincaré Half-plane: A Gateway to Modern Geometry – Saul Stahl – Google Books
The Angles of the Hyperbolic TriangleChapter 7. The Trigonometry of the Hyperbolic TriangleChapter 9. Complex Numbers and Rigid MotionsChapter Absolute Geometry and the Angles of the TriangleChapter Spherical Trigonometry poincard Elliptic GeometryChapter Differential Geometry and Gaussian CurvatureChapter The Beltrami-Klein ModelChapter Show More Show Less.
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