T. Todorov

activity

20062021

most citedHahn Field Representation of A. Robinson's Asymptotic Numbers

9 citations · 24 across the 19 of their papers we have counts for

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2 papers · 1 filter

math.HO2011

Completeness of the Leibniz Field and Rigorousness of Infinitesimal Calculus

James F. Hall, Todor D. Todorov

We present a characterization of the completeness of the field of real numbers in the form of a \emph{collection of ten equivalent statements} borrowed from algebra, real analysis,…

math.HO2007

Exponentiating $2 \times 2$ and $3 \times 3$ Matrices Done Right

Angel P. Popov, Todor D. Todorov

We derive explicit formulas for calculating $e^{A}$ , $cosh A$ , $sinh A, cos A$ and $sin A$ for a given $2 \times 2$ matrix $A$ . We also derive explicit formulas for $e^{A}$ for a…

Completeness of the Leibniz Field and Rigorousness of Infinitesimal Calculus

Exponentiating 2×2 and 3×3 Matrices Done Right

Exponentiating $2 \times 2$ and $3 \times 3$ Matrices Done Right