Non-Euclidean Geometry

""Non-Euclidean Geometry: A Critical and Historical Study of Its Development"" is a book written by Roberto Bonola and published in 1912. The book provides a comprehensive overview of non-Euclidean geometry, which is a branch of mathematics that explores geometries that differ from the traditional Euclidean geometry. The book begins with a historical overview of the development of non-Euclidean geometry, tracing its origins back to the work of mathematicians such as Gauss, Lobachevsky, and Bolyai. Bonola then delves into the different types of non-Euclidean geometries, including hyperbolic and elliptic geometries, and explores their properties and applications. The book also discusses the philosophical implications of non-Euclidean geometry, particularly its challenge to the traditional notions of space and geometry. Bonola examines the debates that arose in the mathematical community over the validity and significance of non-Euclidean geometry, and provides his own critical analysis of the subject. Overall, ""Non-Euclidean Geometry: A Critical and Historical Study of Its Development"" is a seminal work in the field of mathematics, providing a thorough exploration of a complex and important topic. It is a must-read for anyone interested in the history and development of mathematics, as well as those interested in the philosophical implications of mathematical concepts.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.