Developments in Nonstandard Mathematics
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A01=A F Oliveira
A01=Jose Sousa-Pinto
A01=Nigel J Cutland
A01=Vitor Neves
Abstract Wiener Spaces
advanced calculus pedagogy
Author_A F Oliveira
Author_Jose Sousa-Pinto
Author_Nigel J Cutland
Author_Vitor Neves
Borel Set
Category=PBK
Compact Hausdorff Space
Compact Linear Operators
Compact Operator
Compact Set
Compact Subsets
Complete Metric Spaces
Complete Separable Metric Space
differential geometry
Distributional Derivative
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Intersection Property
Fixed Point Property
functional analysis
geometric topology methods
Gradient Line
Hyperreal Numbers
infinite dimensional spaces
Infinitesimal Analysis
infinitesimals
Lebesgue Measure
Loeb probability theory
mathematical physics
Metric Space
Nonstandard Analysis
nonstandard analysis applications in research
Nonstandard Methods
Nonstandard Model
Ordinary Differential Equations
partial differential equations
Probability Space
stochastic analysis
Topological Space
Weak Topology
Wiener Measure
Product details
- ISBN 9780582279704
- Weight: 472g
- Dimensions: 210 x 280mm
- Publication Date: 01 Nov 1995
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994. Nonstandard mathematics originated with Abraham Robinson, and the body of ideas that have developed from this theory of nonstandard analysis now vastly extends Robinson's work with infinitesimals. The range of applications includes measure and probability theory, stochastic analysis, differential equations, generalised functions, mathematical physics and differential geometry, moreover, the theory has implicaitons for the teaching of calculus and analysis.
This volume contains papers touching on all of the abovbe topics, as well as a biographical note about Abraham Robinson based on the opening address given by W.A>J> Luxemburg - who knew Robinson - to the Aveiro conference which marked the 20th anniversary of Robinson's death. This book will be of particular interest to students and researchers in nonstandard analysis, measure theory, generalised functions and mathematical physics.
Cutland\, Nigel J; Neves\, Vitor; Oliveira\, A F; Sousa-Pinto\, Jose
