The Science Absolute of Space : Independent of the Truth or Falsity of Euclid''s Axiom XI (Which Can Never Be Decided a Priori)

The Science Absolute of Space : Independent of the Truth or Falsity of Euclid''s Axiom XI by János Bolyai explores the fundamental concepts of non-Euclidean geometry and its implications on mathematical theories. The book compares Lobachevski's and the author's interpretations of trigonometric formulas in spherical trigonometry shedding light on the divergence in understanding due to the treatment of real and imaginary numbers. It also delves into George Bruce Halsted's mathematical works emphasizing the significance of non-Euclidean spaces in revolutionizing geometrical science and attracting interdisciplinary interest from physicists psychologists and philosophers.