Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with nonstandard-analysis
Search options answers only
not deleted
user 935
Nonstandard analysis is a way of doing calculus and analysis with infinitesimals. The historical approach of Leibniz, Euler, and others to infinitesimal calculus was gradually replaced by epsilon, delta techniques in the context of a real continuum, in the 19th century. It was not until the 1960s that Abraham Robinson developed a theory of a hyperreal continuum that allows for a development of analysis procedurally akin to that of its founders.
16
votes
Nonstandard analysis in probability theory
True probabilists have a rather unique way of thinking. It is, if you will allow word-creation, hyper-analytic. This thought pattern seems (anecdotally!) to not be too compatible with algebraic or log …
- 9,746
5
votes
A remark of Connes on non-standard analysis
I don't think this answer is fundamentally different from Joel's, but perhaps the differing exposition may help.
Every irrational real number in $[0,1]$ has a unique binary expansion, and so every ir …
- 9,746
3
votes
Non Separability of the the Loeb Space
The background is, I suspect, the recent papers of Elek and Szegedy, in which the nonseparability of this space place a large (and confounding) role.
I strongly prefer the language of nonstandard ana …
- 9,746
7
votes
nonstandard analysis book recommendation
I loved Goldblatt's book, "Lectures on the Hyperreals".
For a more sophisticated treatment, don't overlook "Nonstandard Analysis: Theory and Applications", edited by Henson (first chapter available t …
18
votes
How helpful is non-standard analysis?
Freiman conjectured a classification of finite sets $A$ of integers that have
$$\lvert A+A\rvert = 3\lvert A\rvert-3+b$$
for some $0\leq b \leq \lvert A\rvert/3-2$. Renling Jin recently resolved this …
- 9,746