Nonstandard Methods and Applications in Mathematics
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advanced probability theory
Approximation Theorem
Atomic Formulas
Borel Measurable Function
Category=PBK
Complete Metric Spaces
Elementary Embedding
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
External Universe
Finite Dimensional Normed Vector Space
Finite Measure
functional analysis methods
Hyperreal Numbers
infinitesimal approach to teaching calculus
infinitesimal calculus
logic in mathematics education
Lusin's Theorem
Lusin’s Theorem
Lyapunov's Theorem
Lyapunov’s Theorem
mathematical logic
Mentary Sentences
Metric Space
Nash Equilibria
Non-principal Ultrafilters
Nonstandard Analysis
Nonstandard Methods
Numerosity Function
Semi-formal Definition
set theory applications
Star Topology
Strong Markov Property
Suitable Quotient
Suitable Subspaces
Topological Extensions
Transfer Principle
Product details
- ISBN 9781568812915
- Weight: 498g
- Dimensions: 152 x 229mm
- Publication Date: 21 Feb 2006
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. In addition to the important philosophical achievement of providing a sound mathematical basis for using infinitesimals in analysis, the methodology is now well established as a tool for both research and teaching, and has become a fruitful field of investigation in its own right. This book is a collection of peer-reviewed papers solicited from some of the participants of this conference with the aim of providing something more timely than a textbook, but less ephemeral than a conventional proceedings. It contains both survey papers and research articles with special consideration for one, "Nonstandard analysis at pre-university level: naive magnitude analysis" in which the author discusses his experience teaching calculus through an infinitesimal approach.
Nigel J. Cutland, Mauro Di Nasso, David A. Ross
