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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Allendoerfer Award for excellence in expository hallf-plane from the Mathematical Association of America. I used this book as my guide to write software creating art with hyperbolic tessellations.

Modern Geometry The text is designed at an undergraduate level: Account Options Sign in. Your request to send this item has been completed.

Gauss’s formula for the curvature at a poincaare 4.

Math: The Poincare Half-Plane : A Gateway to Modern Geometry by Saul Stahl (1993, Hardcover)

Common terms and phrases absolute geometry arbitrary axioms axis bowed geodesic Chapter chord Common Notions complex numbers composition congruent constructed containing coordinates cosh cross ratio curve defined definition denote dxdy elliptic elliptic geometry equation Euclidean center Euclidean circle Euclidean geometry Euclidean geomerty segment Euclidean plane Euclidean radius Euclidean rigid motions Euclidean straight lines Example Exercise fact FIGURE fixed point flow diagram flow lines follows function Gauss Gaussian curvature glide-reflections Hence hyperbolic area hyperbolic distance hyperbolic geodesic hyperbolic geometry hyperbolic length hyperbolic plane hyperbolic reflection hyperbolic rigid motion hyperbolic rotation hyperbolic triangle interior intersect inversion Lemma line segment maps mathematicians Moebius rigid motion Moebius transformation non-Euclidean geometry orthogonal parallel Parallel Postulate Poincare metric positive proof of Proposition Prove q.


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Please re-enter recipient e-mail address es. Preview this item Preview this item. Elliptic geometry 7. Doesnt explain anything whatsoever.

Hilbert’s axiomatization of Euclidean geometry optional 22 4. Jones and Bartlett geomegry mathematics. If you are a seller for this product, would you like to suggest updates through seller support?

Differential geometry 2. Hyperbolic space and its rigid motions 3. Cancel Forgot your password?

A Gateway to Modern Geometry: The Poincare Half-Plane

Gausss formula for the curvature at a point. East Dane Designer Men’s Fashion. Amazon Drive Cloud storage from Amazon. Will be a good Reading copy. An application of inversions optional 59 3. Translations, rotations, and reflections 37 4. Hyperbolic straight lines 66 3. Stahl assumes students remember a lot of material. If you can’t learn hyperbolic geometry from this book you’re not trying. Poincsre waste your money. A Gateway to Modern Geometry: Similar Items Related Subjects: Understanding Analysis Undergraduate Texts in Mathematics.


The Poincaré half-plane : a gateway to modern geometry

A review of lengths and areas on surfaces 3. Linked Data More info about Linked Data. Your Web browser is not enabled for JavaScript.