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

Discover the legends behind non-Euclidean geometry and how a bold idea reshaped math.

This book traces the rise of a new geometric view—from Bolyai and Lobatschewsky to Beltrami and Beltrami’s successors—explaining how parallelism, space, and shapes were reimagined beyond Euclid. The work surveys the early foundations, the spread of the ideas across Europe, and the later development into advanced topics. It shows how these ideas challenged long-held assumptions and opened new paths in differential and projective geometry, without losing sight of the core questions that sparked the debate.

• Clear narrative of key moments and pivotal figures in the birth of non-Euclidean geometry
• Accessible explanations of why the parallel postulate mattered and how it was questioned
• Connections between historical developments and later branches like differential and projective geometry
• Context for how these ideas influenced broader mathematics and philosophy

Ideal for readers curious about the history, foundations, and evolution of geometry and its modern forms.

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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