Nonstandard Analysis and its Applications

ISBN: 9780521359474 出版年：1988 页码：362 Cutland Cambridge University Press

Preface Contributors 1. An invitation to non standard analysis Tom Lindstrom 2. Infinitesimal in probability theory H. Jerome Keisler 3. Infinitesimals in functional analysis C. Ward Henson 4. Applications of non standard analysis in mathematical physics Sergio Albervio 5. A lattice formulation of real and vector valued integrals Peter A. Loeb 6. An application of non standard methods to computational group theory B. Benninghofen and M.M. Richter 7. Syntactical methods in infinitesimal analysis Francine Deiner and Keith D. Stroyan 8. Some asymptotic results in ordinary differential equations Francine and Marc Diener 9. Superinfinitesimals and inductive limits Keith D. Stroyan 10. The non-linear boltzmann equation far from equilibrium Leif Arkeryd Index.