van den Dries, “Tame topology and o-minimal structures,” Cambridge U Press 1998
develops a lot of 20th century geometry in a first order theory of real numbers. You can do enough differential geometry in this setting to do e.g. general relativity.
van den Dries, “Tame topology and o-minimal structures,” Cambridge U Press 1998
develops a lot of 20th century geometry in a first order theory of real numbers. You can do enough differential geometry in this setting to do e.g. general relativity.