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Inhaltsangabe
Non-Euclidean Geometry: A Critical and Historical Study of Its Development is a book written by Roberto Bonola and originally published in 1912. The book is a comprehensive study of non-Euclidean geometry, a field of mathematics that explores geometries where the parallel postulate does not hold. Bonola’s book provides a historical overview of the development of non-Euclidean geometry, starting with the work of Gauss, Lobachevsky, and Bolyai in the early 19th century. The book also covers the contributions of other mathematicians, such as Riemann, Beltrami, and Klein, who further developed the field and applied it to various branches of mathematics and physics.In addition to the historical context, the book also provides a critical analysis of non-Euclidean geometry, discussing its implications for the foundations of mathematics and its relationship with Euclidean geometry. Bonola also explores the philosophical and cultural implications of non-Euclidean geometry, including its impact on the concept of space and the nature of scientific knowledge.Overall, Non-Euclidean Geometry: A Critical and Historical Study of Its Development is a comprehensive and insightful examination of a fascinating field of mathematics. It is a valuable resource for mathematicians, historians of science, and anyone interested in the history and philosophy of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.
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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Reseña del editor
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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Non-Euclidean Geometry: A Critical And Historical Study Of Its Development (1912)
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Zustand: Like New. Used - Like New. This is a reproduction of an out of print title. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Artikel-Nr. Z1-A-004--02649
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