β Scribed by M. Berger, A. Sloan (auth.), Albert Emerson Hurd (eds.)
No coin nor oath required. For personal study only.
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
Ξ-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 β in its mackey topology....Pages 204-213
Mathematical Logic and Foundations
π SIMILAR VOLUMES
This book presents an introduction into Robinson's nonstandard analysis. Nonstandard analysis is the application of model theory in analysis. However, the reader is not expected to have any background in model theory; instead, some background in analysis, topology, or functional analysis would be us
Nonstandard analysis represents a fundamental change of perspective in mathematics (and sciences), comparable to the introduction of Cantor's set theory in the nineteenth century. This book is a short, readable introduction to the subject, based on the axiomatic or IST approach. The first part gives
This book presents an introduction into Robinson's nonstandard analysis. Nonstandard analysis is the application of model theory in analysis. However, the reader is not expected to have any background in model theory; instead, some background in analysis, topology, or functional analysis would be