The Strength of Nonstandard Analysis 2007th Edition by Imme van den Berg, Vitor Neves ISBN 9783211499054 by Imme Van Den Berg, Vitor Neves 3211499040 instant download after payment.

The Strength of Nonstandard Analysis 2007th Edition by Imme van den Berg, Vitor Neves - Ebook PDF Instant Download/Delivery: 9783211499054
Full download The Strength of Nonstandard Analysis 2007th Edition after payment

Product details:

ISBN 13: 9783211499054
Author: Imme van den Berg, Vitor Neves

Nonstandard Analysis enhances mathematical reasoning by introducing new ways of expression and deduction. Distinguishing between standard and nonstandard mathematical objects, its inventor, the eminent mathematician Abraham Robinson, settled in 1961 the centuries-old problem of how to use infinitesimals correctly in analysis. Having also worked as an engineer, he saw not only that his method greatly simplified mathematically proving and teaching, but also served as a powerful tool in modelling, analyzing and solving problems in the applied sciences, among others by effective rescaling and by infinitesimal discretizations.

This book reflects the progress made in the forty years since the appearance of Robinson’s revolutionary book Nonstandard Analysis: in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.

The Strength of Nonstandard Analysis 2007th Table of contents:

1. Front Matter

2. The Strength of Nonstandard Analysis

3. The Virtue of Simplicity

4. Analysis of Various Practices of Referring in Classical or Nonstandard Mathematics

5. Stratified Analysis?

6. ERNA at Work

7. The Sousa Pinto Approach to Nonstandard Generalised Functions

8. Neutrices in More Dimensions

9. Number Theory

10. Nonstandard Methods for Additive and Combinatorial Number Theory

11. Nonstandard Methods and the Erdős-Turán Conjecture

12. Statistics, Probability and Measures

13. Nonstandard Likelihood Ratio Test in Exponential Families

14. A Finitary Approach for the Representation of the Infinitesimal Generator of a Markovian Semigroup

15. On Two Recent Applications of Nonstandard Analysis to the Theory of Financial Markets

16. Quantum Bernoulli Experiments and Quantum Stochastic Processes

17. Applications of Rich Measure Spaces Formed from Nonstandard Models

18. More on S-Measures

19. A Radon-Nikodým Theorem for a Vector-Valued Reference Measure

People also search for The Strength of Nonstandard Analysis 2007th:

the strength of nonstandard analysis
    
the strengths and weaknesses of standardized tests
    
what is a strength of the non-consequentialist approaches
    
strengths and weaknesses of norm-referenced tests
    
a strength of the narrative is

Tags: Imme van den Berg, Vitor Neves, Strength, Nonstandard