Nonstandard analysis--recent developments
著者
書誌事項
Nonstandard analysis--recent developments
（Lecture notes in mathematics, 983）
Springer-Verlag, 1983
- : U.S.
- : Germany
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注記
"Some of the papers are elaborations of work presented to the Second Victoria Symposium on Nonstandard Analysis, held at the University of Victoria, Victoria, Canada, in 1980"--Pref
Includes bibliographies
収録内容
- Explicit solutions of partial differential equations / M. Berger and A. Sloan
- Hyperfinite spin models / L.L. Helms
- Nonstandard analysis and the theory of Banach spaces / C.W. Henson and L. Moore
- Stochastic solutions to partial differential equations / S.A. Kosciuk
- [Omega]-calculus as a generalization of field extension : an alternative approach to nonstandard analysis / D. Laugwitz
- Stochastic integration in hyperfinite dimensional linear spaces / T.L. Lindstrøm
- Stochastic processes and nonstandard analysis / E. Perkins
- Towards a nonstandard analysis / M.M. Richter and M.E. Szabo
- Infinitesimal analysis of ð in its Mackey topology / K.D. Stroyan
内容説明・目次
目次
Explicit solutions of partial differential equations.- Hyperfinite spin models.- Nonstandard analysis and the theory of Banach spaces.- Stochastic solutions to partial differential equations.- Existence of solutions to the martingale problem in Rd for degenerate discontinuous coefficients.- ?-Calculus as a generalization of field extension an alternative approach to nonstandard analysis.- Stochastic integration in hyperfinite dimensional linear spaces.- Stochastic processes and nonstandard analysis.- Towards a nonstandard analysis of programs.- Infinitesimal analysis of l ? in its mackey topology.
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