Sources of Hyperbolic Geometry (History of Mathematics, 10, Band 10) - Softcover

Stillwell, John

Softcover

ISBN 10: 0821809229 ISBN 13: 9780821809228

Verlag: American Mathematical Society, 1996

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 0821809229
• ISBN 13: 9780821809228
• Einband: Taschenbuch
• Anzahl der Seiten: 153
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: preigu; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; 49078; Deutschland