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Book Review
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Book Information
Author(s):
K. D. Stroyan and J. M. Bayod
Title:
Foundations of infinitesimal stochastic analysis
Additional book information:
Studies in Logic and the Foundations of Mathematics, vol. 119, North-Holland, Amsterdam, 1986, xii + 478 pp., $47.50. ISBN 0-444-87927-7
References:
- [AFH-KE] Albeverio, J. E. Fenstad, R. Høegh-Krohn, and T. Lindstrøm, Nonstandard methods in stochastic analysis and mathematical physics, Academic Press, New York, 1986. MR 859372
- [A1] R. M. Anderson, A nonstandard representation for Brownian motion and ltô integration, Israel J. Math. 25 (1976), 15-46. MR 464380
- [A2] R. M. Anderson, Review of [HL], Bull. Amer. Math. Soc. (N. S. ) 16 (1987), 298-306.
- [C] N. J. Cutland, Nonstandard measure theory and its applications, J. London Math. Soc. 15 (1983), 529-589. MR 720746
- [HL] A. E. Hurd and P. A. Loeb, An Introduction to nonstandard real analysis, Academic Press, New York, 1985. MR 806135
- [HM] C. W. Henson and L. C. Moore, Nonstandard analysis and the theory of Banach spaces, (A. E. Hurd, ed. ), Nonstandard Analysis: Recent Developments, Lecture Notes in Math., vol. 983, Springer-Verlag, Berlin and New York, 1983. MR 698954
- [K] H. J. Keisler, An infinitesimal approach to stochastic analysis, Mem. Amer. Math. Soc. 48, (1984), no. 297.. MR 732752
- [L] P. A. Loeb, Conversion from standard to standard measure spaces and applications to probability theory, Trans. Amer. Math. Soc. 211 (1975), 113-122. MR 390154
- [N] E. Nelson, Radically elementary probability theory, Ann. of Math. Studies no. 117, Princeton Univ. Press, Princeton, N. J., 1987. MR 906454
Additional Information:
Reviewer(s):
D. N.
Hoover
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
287-292.
DOI:
10.1090/S0273-0979-1989-15832-1
PII:
S 0273-0979(1989)15832-1
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