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Book Review
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Book Information
Author(s):
Sergio Albeverio, Raphael Høegh-Krohn, Jens Erik Fenstad and Tom Lindstrøm
Title:
Nonstandard methods in stochastic analysis and mathematical physics
Additional book information:
Academic Press, Orlando, xi + 514 pp., $59.50 cloth, $39.50 paperback. ISBN 0-12-048860-4
References:
- 1.
- R. Anderson, A non-standard representation for Brownian motion and Itô integration, Israel J. Math. 25 (1976), 15-46. MR 464380
- 2.
- Martin Davis, Applied nonstandard analysis, Wiley, New York, 1977. MR 505473
- 3.
- C. Ward Henson and H. Jerome Keisler, On the strength of nonstandard analysis, J. Symbolic Logic 51 (1986), 377-386. MR 840415
- 4.
- Albert Hurd and Peter Loeb (eds. ), Victoria Symposium on Nonstandard Analysis, Lecture Notes in Math., vol. 369, Springer-Verlag, Berlin and New York, 1974. MR 472459
- 5.
- A. E. Hurd (ed. ), Nonstandard analysis--recent developments, Lecture Notes in Math., vol. 983, Springer-Verlag, Berlin and New York, 1983. MR 698951
- 6.
- A. E. Hurd and P. A. Loeb, An introduction to nonstandard real analysis, Academic Press, Orlando, 1985. MR 806135
- 7.
- H. Jerome Keisler, An infinitesimal approach to stochastic analysis, Mem. Amer. Math. Soc. No. 297 (1984). MR 732752
- 8.
- P. A. Loeb, Conversion from nonstandard to standard measure spaces and applications in probability theory, Trans. Amer. Math. Soc. 211 (1975), 113-122. MR 390154
- 9.
- R. Lutz and M. Goze, Nonstandard analysis, Lecture Notes in Math., vol. 881, Springer-Verlag, Berlin, 1981. MR 643624
- 10.
- W. A. J. Luxemburg (ed. ), Applications of model theory to algebra, analysis, and probability, Holt, Rinehart and Winston, New York, 1969. MR 234829
- 11.
- W. A. J. Luxemburg and A. Robinson (eds. ), Contributions to non-standard analysis, North-Holland, Amsterdam, 1972. MR 476972
- 12.
- E. Perkins, A global intrinsic characterization of local time, Ann. Probability 9 (1981), 800-817. MR 628874
- 13.
- Alain Robert, Analyse non standard, Presses Polytechniques Romandes, Lausanne, 1985. MR 801723
- 14.
- A. Robinson, Introduction to model theory and to the metamathematics of algebra, North-Holland, Amsterdam, 1963. MR 153570
- 15.
- A. Robinson, Non-standard analysis, North-Holland, Amsterdam, 1966. MR 205854
- 16.
- A. Robinson and A. H. Lightstone, Nonarchimedean fields and asymptotic expansions, North-Holland, Amsterdam, 1975. MR 414354
- 17.
- K. Stroyan and W. A. J. Luxemburg, Introduction to the theory of infinitesimals, Academic Press, New York, 1976. MR 491163
- 18.
- K. Stroyan and J. M. Bayod, Foundations of infinitesimal stochastic analysis, North-Holland, Amsterdam, 1986. MR 849100
Additional Information:
Reviewer(s):
A. E.
Hurd
Review Information:
Journal:
Bull. Amer. Math. Soc.
17
(1987),
385-389.
DOI:
10.1090/S0273-0979-1987-15607-2
PII:
S 0273-0979(1987)15607-2
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