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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The general definition of area 2. Home About Help Search. I had to learn the material myself from class notes and practice.
The specific requirements or preferences geojetry your reviewing publisher, classroom teacher, institution or organization should be applied. You may have already requested this item. Withoutabox Submit to Film Festivals. Hyperbolic space and its rigid motions 3.
The Poincaré Half-plane: A Gateway to Modern Geometry – Saul Stahl – Google Books
Please re-enter recipient e-mail address es. A new congruence theorem 5. Allendoerfer Award for excellence in expository writing from the Mathematical Association of America. Spherical Trigonometry and Elliptic GeometryChapter Regular tesselations of the unit disk model. Absolute geometry 88 3.
The item may have some signs of cosmetic wear, but is fully operational and functions as intended. Stahl assumes students remember a You already recently rated this item. A Gateway to Modern Geometry: Internet resource Document Type: The geometry of spheres and horospheres 6. Please select Ok if you would like to proceed with this request anyway.
In he received modwrn Carl A. Riemannian geometry optional 73 6. Reviews User-contributed reviews Add a review and share your thoughts with other readers. Your rating has been recorded. Allow this favorite library to be seen by others Keep this favorite library private. Create lists, bibliographies and reviews: This item doesn’t belong on this page.
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 Hyperbolic PlaneChapter 5. T general hyperbolic triangle.
The Poincaré half-plane : a gateway to modern geometry
Your rating has been recorded. Best Selling in Textbooks, Education See all. Get to Know Us. Find a copy online Links to this item Table of contents. The Angles of the Hyperbolic TriangleChapter 7. The cross ratio 4. Some of these items ship sooner than the others. Add all three to Cart Add all three to List.
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The Poincaré half-plane : a gateway to modern geometry (Book, ) 
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 — Gatewayy and horospheres — Appendix: You wont regret not gepmetry this.
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The trigonometry of hyperbolic line segments 2. I would only recommend this book if you’re studying the course with a professor, as it will be plenty frustrating for self-study.
Saul Geometfy Find more information about: It also covers other models including Poincare’s disc model and the Beltrami-Klein model.
The hyperbolic distance 63 2. Selected pages Title Page.