Add to ORKGThe present lecture notes have grown from a series of three lectures which were given by the author at the California Institute of Technology in December 1961. The purpose of these lectures was to give a discussion of A. Robinson's theory of infinitesimals and infinitely large numbers which had just appeared in print under the title "Non-Standard Analysis". The title "Non-Standard Analysis" refers to the fact that this theory is an interpretation of analysis in a non-standard model of the arithmetic of the real numbers
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
In 1982 Joe Dauben explored the implications of Abraham Robinson’s invention of non-standard analysi...
Measure theory provides one of the most inviting areas in which the transfinite and infinitesimal nu...
The present lecture notes have grown from a series of three lectures which were given by the author ...
This is a survey of several approaches to the framework for working with infinitesimals and infinite...
This thesis is a study of several theories of Non-standard Analysis. Particular attention is paid t...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
This is a survey of several approaches to the framework for working with infinitesimals and infinite...
1. As early as 1934 it was pointed out by Thoralf Skolem (see [17]) that there exist proper extensio...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called...
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
A área conhecida como Análise Não Standard consiste na aplicação dos métodos da Teoria dos Modelos e...
AbstractWe consider Cauchy's use of the infinitely small in his textbooks. He never examined fully h...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
In 1982 Joe Dauben explored the implications of Abraham Robinson’s invention of non-standard analysi...
Measure theory provides one of the most inviting areas in which the transfinite and infinitesimal nu...
The present lecture notes have grown from a series of three lectures which were given by the author ...
This is a survey of several approaches to the framework for working with infinitesimals and infinite...
This thesis is a study of several theories of Non-standard Analysis. Particular attention is paid t...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
This is a survey of several approaches to the framework for working with infinitesimals and infinite...
1. As early as 1934 it was pointed out by Thoralf Skolem (see [17]) that there exist proper extensio...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called...
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
A área conhecida como Análise Não Standard consiste na aplicação dos métodos da Teoria dos Modelos e...
AbstractWe consider Cauchy's use of the infinitely small in his textbooks. He never examined fully h...
An infinitesimal is a ‘number’ that is smaller then each positive real number and is larger than eac...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
In 1982 Joe Dauben explored the implications of Abraham Robinson’s invention of non-standard analysi...
Measure theory provides one of the most inviting areas in which the transfinite and infinitesimal nu...