Publisher's Synopsis
The Science Absolute Of Space: Independent Of The Truth Or Falsity Of Euclid�������s Axiom XI by John Bolyai is a mathematical treatise that explores the concept of space and its properties. Bolyai, a Hungarian mathematician, challenges the widely accepted axiom of Euclid's Elements, which states that parallel lines never meet. He proposes an alternative geometry in which parallel lines can intersect, creating a non-Euclidean space. The book is divided into two parts. The first part provides a historical overview of the development of geometry, from Euclid's Elements to the works of Lobachevsky and Gauss. Bolyai discusses the limitations of Euclidean geometry and the need for a new approach to understanding space. The second part of the book presents Bolyai's own theory of non-Euclidean geometry. He introduces the concept of absolute space, which is independent of any physical objects or measurements. Bolyai argues that space is not a physical thing but a mental construct, and that the properties of space can be derived from axioms that are independent of any physical reality. The Science Absolute Of Space is a groundbreaking work in the history of mathematics. Bolyai's theory of non-Euclidean geometry paved the way for the development of modern physics, including Einstein's theory of relativity. The book is a must-read for anyone interested in the history of mathematics, physics, or philosophy.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.