Nonstandard Analysis-Recent Developments

M. Berger, A. Sloan (auth.), Albert Emerson Hurd (eds.)9780387122793, 0-387-12279-6

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. Lindstrm — Stochastic processes and nonstandard analysis / E. Perkins — Towards a nonstandard analysis / M.M. Richter and M.E. Szabo — Infinitesimal analysis of in its Mackey topology / K.D. Stroyan

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Table of contents :
Explicit solutions of partial differential equations….Pages 1-14
Hyperfinite spin models….Pages 15-26
Nonstandard analysis and the theory of Banach spaces….Pages 27-112
Stochastic solutions to partial differential equations….Pages 113-115
Existence of solutions to the martingale problem in R d for degenerate discontinuous coefficients….Pages 116-119
Θ-Calculus as a generalization of field extension an alternative approach to nonstandard analysis….Pages 120-133
Stochastic integration in hyperfinite dimensional linear spaces….Pages 134-161
Stochastic processes and nonstandard analysis….Pages 162-185
Towards a nonstandard analysis of programs….Pages 186-203
Infinitesimal analysis of l ∞ in its mackey topology….Pages 204-213