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Riassunto: 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 Labachevsky 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.
Review: "Translations are well done and very readable ... papers ... are well chosen ... an extremely attractive and valuable book to have and to read ... fills an important niche in the mathematical literature by making these papers available to a contemporary audience ... allows the modern reader to see how the great mathematicians of another time viewed both their subject and mathematics in general, a view which can still be inspirational." ---- Bulletin of the London Mathematical Society
Titolo: Sources of Hyperbolic Geometry (History of ...
Casa editrice: Amer Mathematical Society
Data di pubblicazione: 1996
Condizione libro: very good
Descrizione libro U.S.A.: American Mathematical Society, 1996. Hardcover. Condizione libro: Good. No Jacket. 1st Edition. Large octavo in green & purple, paper-covered boards. Diagrams. Condition: ex-library copy; lacks title page; covers sun-faded; else good condition. 153 pages. Codice libro della libreria 301287
Descrizione libro American Mathematical Society, 1996. Hardcover. Condizione libro: Fine. Crisp, clean. Slight wave to pages. Very, very slight scuffing/wear to cover. Codice libro della libreria 048241
Descrizione libro Amer Mathematical Society, 1996. Hardcover. Condizione libro: New. book. Codice libro della libreria 821805290
Descrizione libro Amer Mathematical Society, 1996. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821805290