Non-Euclidean Geometry - Couverture souple

Bonola, Roberto

Couverture souple

ISBN 10 : 1602064652 ISBN 13 : 9781602064652

Editeur : Cosimo Classics, 2007

Synopsis

"Non-Euclidean Geometry is a history of the alternate geometries that have emerged since the rejection of Euclid¿s parallel postulate. Italian mathematician ROBERTO BONOLA (1874¿1911) begins by surveying efforts by Greek, Arab, and Renaissance mathematicians to close the gap in Euclid¿s axiom. Then, starting with the 17th century, as mathematicians began to question whether it was actually possible to prove Euclid¿s postulate, he examines non-Euclidean predecessors Saccheri, Lambert, Legendre, W. Bolyai, Wachter, and Thibaut, and non-Euclidean ¿founders¿ Gauss, Schweikart, Taurinus, Lobachevski, and J. Bolyai. He concludes with a look at later developments in non-Euclidean geometry. Including five appendices and an index of authors, Bonola¿s Non-Euclidean Geometry is a useful reference guide for students of mathematical history."

A propos du livre

Présentation de l'éditeur

I ntroduction. The translator of this little volume has done me the honour to ask me to write a few lines of introduction. And 1do this willingly, not only that I may render homage to the memory of a friend, prematurely torn from life and from science, but also because I am convinced that the work of ROBERTO BONOLA deserves all the interest of the studious. In it, in fact, the young mathematician will find not only a clear exposition of the principles of a theory now classical, but also a critical account of the developments which led to the foundation of the theory in question. It seems to me that this account, although concerned with a particular field only, might well serve as a model for a history of science, in respect of its accuracy and its breadth of information, and, above all, the sound philo sophic spirit that permeates it. The various attempts of successive writers are all duly rated according to their relative importance, and are presented in such a way as to bring out the continuity of the progress of science, and the mode in which the human mind is led through the tangle of partial error to a broader and broader view of truth. This progress does not consist only in the acquisition of fresh knowledge, the prominent place is taken by the clearing up of ideas which it has involved; and it is remarkable with what skill the author of this treatise has elucidated the obscure concepts which have at particular periods of time presented themselves to the eyes of the investigator as obstacles, or causes of confusion.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Détails de l'édition

• Éditeur: Cosimo Classics
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 1602064652
• ISBN 13: 9781602064652
• Reliure: Broché
• Nombre de pages: 288
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible