Non-Euclidean Geometry (Classic Reprint): A Critical and Historical Study of Its Development - Couverture souple

Bonola, Roberto

Couverture souple

ISBN 10 : 1440072027 ISBN 13 : 9781440072024

Editeur : Forgotten Books, 2018

Synopsis

In Non-Euclidean Geometry: A Critical and Historical Study of Its Development, Roberto Bonola surveys the birth and growth of space ideas that challenged Euclid’s framework.

The book traces key figures, from early hints to the spread of ideas across Europe, and explains the core concepts in a clear, historical context. It shows how a new geometry could be logically consistent and what that meant for the understanding of space.

• Tracks the contributions of Gauss, Bolyai, Lobatschewsky, Beltrami, and others who shaped the debate.


• Explains the hyperbolic view of space and its geometric consequences in approachable terms.


• Shows how ideas moved from theoretical discussion to public scholarly debate and publication.


• Connects historical development to broader questions about the foundations of geometry.

Ideal for readers of mathematical history, the book offers a clear, accessible path through a pivotal chapter in geometry.

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.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writ

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440072027
• ISBN 13: 9781440072024
• Reliure: Broché
• Nombre de pages: 282
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