Sources of Hyperbolic Geometry by John Stillwell

Sources of Hyperbolic Geometry by John Stillwell

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. A recognition of Beltrami comparable to that given the pioneering works of Bolyai and Lobachevsky seems long overdue - not only because Beltrami rescued hyperbolic geometry from oblivion by proving it to be logically consistent, but because he gave it a concrete meaning (a model) that made hyperbolic geometry part of ordinary mathematics. The models subsequently discovered by Klein and Poincare brought hyperbolic geometry even further down to earth and paved the way for the current explosion of activity in low-dimensional geometry and topology.By placing the works of these three mathematicians side by side and providing commentaries, this book gives the student, historian, or professional geometer a bird's-eye view of one of the great episodes in mathematics. The unified setting and historical context reveal the insights of Beltrami, Klein, and Poincare in their full brilliance.

SKU	Nicht verfügbar
ISBN 13	9780821809228
ISBN 10	0821809229
Titel	Sources of Hyperbolic Geometry
Autor	John Stillwell
Serie	History Of Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	American Mathematical Society
Erscheinungsjahr	1996-08-30
Seitenanzahl	153
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar