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15
Math.TechQA.Club
2016-07-08 20:24:27
154
Views
Is the set of hyperreal numbers a quotient ring?
Published on
08 Jul 2016 - 20:24
#abstract-algebra
#elementary-set-theory
#nonstandard-analysis
982
Views
How do we interpret and perform integrals using infinitesimals?
Published on
09 Jul 2016 - 12:10
#integration
#nonstandard-analysis
#infinitesimals
597
Views
What is the point of making dx an infinitesimal hyperreal?
Published on
22 Jul 2016 - 22:57
#soft-question
#nonstandard-analysis
#infinitesimals
1k
Views
Are there non-standard counterexamples to the Fermat Last Theorem?
Published on
25 Mar 2026 - 7:43
#number-theory
#logic
#model-theory
#nonstandard-analysis
#reverse-math
578
Views
Applications of Non-Standard Analysis to Number Theory and Topology?
Published on
02 Aug 2016 - 14:54
#general-topology
#number-theory
#soft-question
#analytic-number-theory
#nonstandard-analysis
210
Views
Nonstandard Natural Numbers via Internal Set Theory in Coq
Published on
25 Mar 2026 - 3:07
#axioms
#nonstandard-analysis
#automated-theorem-proving
203
Views
What type of real sequences correspond to infinitesimals in non-standard analysis?
Published on
01 Sep 2016 - 4:20
#asymptotics
#nonstandard-analysis
#infinitesimals
873
Views
Can one define the Lebesgue integral with nonstandard analysis?
Published on
02 Sep 2016 - 16:34
#measure-theory
#reference-request
#lebesgue-integral
#nonstandard-analysis
786
Views
Multiplicative Derivative
Published on
13 Sep 2016 - 15:42
#limits
#derivatives
#nonstandard-analysis
76
Views
Are the different ways of rigorizing the notion of "differential" mutually exclusive?
Published on
28 Sep 2016 - 12:07
#derivatives
#soft-question
#differential-forms
#differential
#nonstandard-analysis
320
Views
Is there a version of Lie theory using infinitesimals?
Published on
30 Sep 2016 - 7:35
#reference-request
#soft-question
#lie-groups
#lie-algebras
#nonstandard-analysis
246
Views
Is there a lack of rigour when using infinitesimal?
Published on
15 Oct 2016 - 13:50
#calculus
#analysis
#definition
#nonstandard-analysis
#infinitesimals
158
Views
Archimedean completeness of some fields.
Published on
02 Nov 2016 - 18:33
#reference-request
#nonstandard-analysis
#ordered-fields
390
Views
How do limits apply to $y=x^2$?
Published on
08 Nov 2016 - 2:07
#calculus
#limits
#nonstandard-analysis
#infinitesimals
2.9k
Views
Basic Geometric intuition, context is undergraduate mathematics
Published on
22 Mar 2026 - 3:12
#geometry
#measure-theory
#advice
#nonstandard-analysis
#synthetic-differential-geometry
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