Geometry and Astronomy: Pre-Einstein Speculations of Non-Euclidean Space
by Helge Kragh
Publisher: arXiv 2012
Number of pages: 76
Description:
The recognition that physical space (or space-time) is curved is a product of the general theory of relativity, such as dramatically shown by the 1919 solar eclipse measurements. However, the mathematical possibility of non-Euclidean geometries was recognized by Gauss more than a century earlier, and during the nineteenth century mathematicians developed the pioneering ideas of Gauss, Lobachevsky, Bolyai and Riemann into an elaborate branch of generalized geometry.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books

by Albert Martini - Project Gutenberg
This book presents the scientific developments in mathematics, physics and astronomy from the Classic Greek Era to the present time. It discusses the 2,000-year history in the development of the great ideas that revolutionized our scientific world.
(7710 views)

by J. L. Heiberg - Oxford University Press
The volume gives a general survey of the science of Classical Antiquity, laying however special stress on the mathematical and physical aspects. Topics: Ionian Natural Philosophy; Pythagoreans; Hippocrates; Mathematics in the Fifth Century; Plato ...
(8343 views)

by Mike Corwin - Bookboon
The book is focused on the conceptual aspects of modern physics and the personalities of physicists responsible for introducing these revolutionary ideas. It can be used as the primary text for a one-semester course aimed at Liberal Arts students.
(6959 views)

by Sunil Mukhi - arXiv
This text provides some historical background and then reviews developments in string theory over the last twenty-five years. Both perturbative and non-perturbative approaches are surveyed and their impact on how we view quantum gravity is analysed.
(12835 views)