Abstract
Today the definition of geometry as the science of space is generally accepted by both epistemologists and mathematicians. The history of modern geometry is entirely built around the mathematical notion of space, and different approaches to this science, from Gauss ’ studies of intrinsic curvature to the Erlangen Program, from the discovery of General Relativity to the most recent developments in topology (take, for instance, Thurston ’s geometrization conjecture and its proof) rely on a general understanding of mathematical space that remains constant through different perspectives and offers a common ground for regarding all these developments as parts of a single enterprise. Modern geometry is simply inconceivable without the notion of space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
De Risi, V. (2015). Introduction. In: De Risi, V. (eds) Mathematizing Space. Trends in the History of Science. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12102-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-12102-4_1
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12101-7
Online ISBN: 978-3-319-12102-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)