Add to ORKGWhen Newton and Leibniz first developed calculus, they did so by using infinitesimals (really really small numbers). Infinitesimals were used until calculus was made more rigorous by Weierstass. The calculus that we are taught today is based on Weierstass’s ?-δ definition of the limit. However, people have been arguing that we go back to an infinitesimal-based calculus, not only for its historical roots, but because many proofs and concepts seem to be much cleaner when using infinitesimals. Using Keisler’s “Elementary Calculus: An Infinitesimal Approach,” our group set out to relearn calculus using infinitesimals. First we will define the hyperreal number line (an extension of the real line that contains the infinitesimals). Then we will w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
This article argues that first semester calculus courses for non-mathematics majors should be taught...
The infinitesimal has played an interesting role in the history of analysis. It was initially used t...
When Sir Isaac Newton & Wilhelm Gottfried Leibniz were working on Calculus, they introduced the idea...
This modern introduction to infinitesimal methods is a translation of the book Métodos Infinitesimai...
This paper examines the Eulerian notion of infinitesimal or evanescent quantity and compares it with...
The usual ϵ, δ-definition of the limit of a function (whether presented at a rigorous or an intuitiv...
Contains fulltext : 18721.pdf ( ) (Open Access)Report No. 991516 p
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergen...
Newton and Gottfried Leibniz both used infinitesimals—numbers which are nonzero, yet smaller in magn...
En este artículo presentamos una propuesta para la enseñanza del Cálculo, que surge del especial int...
This is column number 11 of our series on Virtual Logic. In this column we will discuss the mathemat...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
This article argues that first semester calculus courses for non-mathematics majors should be taught...
The infinitesimal has played an interesting role in the history of analysis. It was initially used t...
When Sir Isaac Newton & Wilhelm Gottfried Leibniz were working on Calculus, they introduced the idea...
This modern introduction to infinitesimal methods is a translation of the book Métodos Infinitesimai...
This paper examines the Eulerian notion of infinitesimal or evanescent quantity and compares it with...
The usual ϵ, δ-definition of the limit of a function (whether presented at a rigorous or an intuitiv...
Contains fulltext : 18721.pdf ( ) (Open Access)Report No. 991516 p
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergen...
Newton and Gottfried Leibniz both used infinitesimals—numbers which are nonzero, yet smaller in magn...
En este artículo presentamos una propuesta para la enseñanza del Cálculo, que surge del especial int...
This is column number 11 of our series on Virtual Logic. In this column we will discuss the mathemat...
For over a century, the calculus has been understood via the limit process developed by Cauchy and W...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...
A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz w...