In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstandard concepts are given, and modifying some existing results to show the advantage role of nonstandard analysis tools for obtaining differed nonstandard distinguished result
AbstractWe introduce constructive and classical systems for nonstandard arithmetic and show how vari...
The technique known as Grilliot's trick constitutes a template for explicitlydefining the Turing jum...
AbstractA new foundation for constructive nonstandard analysis is presented. It is based on an exten...
In this paper, by using some nonstandard concepts given by Robinson and axiomatized by Nelson we stu...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
The paper investigates general properties of the power series over a non- Archimedean ordered field,...
Although epsilon-delta analysis has enjoyed great success in giving rigor to modern mathematics, non...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
Making the transition from calculus to advanced calculus/real analysis can be challenging for underg...
The main nonstandard tool-kits are known as infinitesimal analysis (Robin-son’s nonstandard analysis...
The Intermediate Value Theorem (a continuous function on an interval assumes all values between any ...
Starting with a simple formulation accessible to all mathematicians, this second edition is designed...
Continuity or even differentiability of a function on a closed interval of a non-Archimedean field a...
A well-known model of nonstandard analysis is obtained by extending the structure of real numbers us...
This MQP reviews the history of nonstandard analysis, how it can be used, and its applications in ba...
AbstractWe introduce constructive and classical systems for nonstandard arithmetic and show how vari...
The technique known as Grilliot's trick constitutes a template for explicitlydefining the Turing jum...
AbstractA new foundation for constructive nonstandard analysis is presented. It is based on an exten...
In this paper, by using some nonstandard concepts given by Robinson and axiomatized by Nelson we stu...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
The paper investigates general properties of the power series over a non- Archimedean ordered field,...
Although epsilon-delta analysis has enjoyed great success in giving rigor to modern mathematics, non...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
Making the transition from calculus to advanced calculus/real analysis can be challenging for underg...
The main nonstandard tool-kits are known as infinitesimal analysis (Robin-son’s nonstandard analysis...
The Intermediate Value Theorem (a continuous function on an interval assumes all values between any ...
Starting with a simple formulation accessible to all mathematicians, this second edition is designed...
Continuity or even differentiability of a function on a closed interval of a non-Archimedean field a...
A well-known model of nonstandard analysis is obtained by extending the structure of real numbers us...
This MQP reviews the history of nonstandard analysis, how it can be used, and its applications in ba...
AbstractWe introduce constructive and classical systems for nonstandard arithmetic and show how vari...
The technique known as Grilliot's trick constitutes a template for explicitlydefining the Turing jum...
AbstractA new foundation for constructive nonstandard analysis is presented. It is based on an exten...
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