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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You may have already requested this item. Add a review and share your thoughts with other readers. Geodesics on the sphere 3. Get fast, free shipping with Amazon Prime. Preview this item Preview this item. John Saul Hardcover Books. Finding libraries that hold this item Cancel Forgot your password? The name field is required. Save on Textbooks, Education Trending price is based on prices over last 90 days.

Search WorldCat Find items in libraries near you. He skips a lot of steps. Set up a giveaway. Similar Items Related Subjects: Would you te to tell us about a lower price? Rigid motions 36 3. Ships from and sold by Amazon. The Trigonometry of the Hyperbolic TriangleChapter 9.

Hyperbolic flow diagrams- the general case 7. Read, highlight, and take notes, across web, tablet, and phone.

A Gateway to Modern Geometry: The Poincare Half-Plane: Saul Stahl: : Books

Exercises 31 Chapter 2. Translations, rotations, and reflections 37 4. The E-mail message field is required. Explicit rigid motions of the unit disk model 6. Stahl assumes students remember a Find a copy in the library Finding libraries that hold this item Your Web browser is not enabled for JavaScript. Regular moddrn of the unit disk model 8. Spherical Trigonometry and Elliptic GeometryChapter Share your thoughts with other customers.


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.