Non-Euclidean Geometry

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.