What are the applications of Nonstandard Analysis in mathematical physics?

[MathematicalPhysicist]

can someone please provide a link to an ebook about nsa?

p.s
what are the application of this theory in mathematical physics?

thanks in advance.

 

[rutwig]

To find books about NSA is very difficult. Now, you want the Robinson point of view or the internal set theory of Nelson?
In math. physics they are used for differential equations and the analysis of singularirties, as well as resolution mmethods and bifurcation.

 

[MathematicalPhysicist]

Originally posted by rutwig
Now, you want the Robinson point of view or the internal set theory of Nelson?

could you please ellaborate about them both?

 

[rutwig]

Originally posted by loop quantum gravity
could you please ellaborate about them both?

The work of Robinson is the analysis made with infinitesimals, while the Nelson IST is an extension of the ZF-axioms (plus choice axiom).