Sources of Hyperbolic Geometry (History of Mathematics, V. 10)

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9780821809228: Sources of Hyperbolic Geometry (History of Mathematics, V. 10)

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincaré 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 Poincaré 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 Poincaré in their full brilliance.

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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

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John Stillwell
Editore: American Mathematical Society, United States (1996)
ISBN 10: 0821809229 ISBN 13: 9780821809228
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Descrizione libro American Mathematical Society, United States, 1996. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821809228

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Descrizione libro American Mathemataical Society, 1996. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincaré 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 Poincaré 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 Poincaré in their full brilliance.Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.Cover picture reproduced with permission of Dr. Konrad Polthier. Codice libro della libreria 1007150009

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Descrizione libro American Mathematical Society, United States, 1996. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821809228

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Descrizione libro American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Sources of Hyperbolic Geometry (New edition), 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. Codice libro della libreria B9780821809228

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Descrizione libro American Mathematical Society, 1996. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821809228

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Descrizione libro Amer Mathematical Society, 1996. Paperback. Condizione libro: Brand New. 153 pages. 10.00x7.25x0.25 inches. In Stock. Codice libro della libreria __0821809229

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218092280000000

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Descrizione libro American Mathemataical Society, 1996. Paperback. Condizione libro: New. Codice libro della libreria DADAX0821809229

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Descrizione libro American Mathemataical Society, 1996. Paperback. Condizione libro: New. book. Codice libro della libreria 0821809229

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Descrizione libro American Mathemataical Society, 1996. Paperback. Condizione libro: New. Codice libro della libreria P110821809229

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