Berg, Imme
The Strength of Nonstandard Analysis
Part I. Foundations
1. The strength of nonstandard analysis
H. Jerome Keisler
2. The virtue of simplicity
Edward Nelson
3. Analysis of various practices of referring in classical or non standard mathematics
Yves Péraire
4. Stratified analysis?
Karel Hrbacek
5. ERNA at work
C. Impens, S. Sanders
6. The Sousa Pinto approach to nonstandard generalised functions
R. F. Hoskins
7. Neutrices in more dimensions
Imme Berg
Part II. Number theory
8. Nonstandard methods for additive and combinatorial number theory. A survey
Renling Jin
9. Nonstandard methods and the Erdos-Turán conjecture
Steven C. Leth
Part III. Statistics, probability and measures
10. Nonstandard likelihood ratio test in exponential families
Jacques Bosgiraud
11. A finitary approach for the representation of the infinitesimal generator of a markovian semigroup
Schérazade Benhabib
12. On two recent applications of nonstandard analysis to the theory of financial markets
Frederik S. Herzberg
13. Quantum Bernoulli experiments and quantum stochastic processes
Manfred Wolff
14. Applications of rich measure spaces formed from nonstandard models
Peter Loeb
15. More on S-measures
David A. Ross
16. A Radon-Nikodým theorem for a vector-valued reference measure
G. Beate Zimmer
17. Differentiability of Loeb measures
Eva Aigner
Part IV. Differential systems and equations
18. The power of Gâteaux differentiability
Vitor Neves
19. Nonstandard Palais-Smale conditions
Natália Martins, Vítor Neves
20. Averaging for ordinary differential equations and functional differential equations
Tewfik Sari
21. Path-space measure for stochastic differential equation with a coefficient of polynomial growth
Toru Nakamura
22. Optimal control for Navier-Stokes equations
Nigel J. Cutland, Katarzyna Grzesiak
23. Local-in-time existence of strong solutions of the
João Paulo Teixeira
Part V. Infinitesimals and education
24. Calculus with infinitesimals
Keith D. Stroyan
25. Pre-University Analysis
Richard O’Donovan
DRM-restrictions
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Avainsanat: MATHEMATICS / General MAT000000
- Tekijä(t)
- Berg, Imme
- Neves, Vítor
- Julkaisija
- Springer
- Julkaisuvuosi
- 2007
- Kieli
- en
- Painos
- 1
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783211499054