The bulletin of the american mathematical society acclaimed this text as a welcome addition to the literature of nonstandard analysis a field related to number theory algebra and topology the first half presents a complete and self contained introduction to the subject and the second part explores applications to stochastic analysis and mathematical physics. More generally non standard analysis is any form of mathematics that relies on non standard models and the transfer principle a field which satisfies the transfer principle for real numbers is a hyperreal field and non standard real analysis uses these fields as non standard models of the real numbers. Nonstandard methods in stochastic analysis and mathematical physics dover books on mathematics dover edition by sergio albeverio jens erik fenstad raphael hegh krohn tom lindstrm raphael hoegh krohn tom lindstrom raphael h egh krohn tom lindstr m barrow mathematics raphael hegh krohn raphael hegh krohn tom lindstrm. Starting with nonstandard measure theory the treatment advances to probability problems that can be represented by hyperfinite nonstandard models applications of nonstandard analysis to stochastic processes are treated at length and the authors present numerous applications to mathematical physics. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes mathematical physics and geometrythe contributions are written by internationally recognized experts in the fields of stochastic analysis linear and nonlinear deterministic and
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