Stručni rad

One proof of $e^p$ irrationality

Nenad Stojanović ; Visoka Škola poslovnog menadžmenta, Primus, Gradiška, Bosna i Hercegovina
Zoran Mitrović ; Faculty of Electrical Engineering, University of Banja Luka, Banja Luka, Bosnia and Herzegovina

Sažetak

The first part presents the basic concepts and attitudes related to algebraic and transcendental numbers, with a brief historical review, and it was shown that several basic principles regarding the irrationality and transcendence of $e$.
The second part motivated by evidence Ramasinghe W., who gave a
simple proof of the irrationality of $e^2$, we give a proof of
irrationality of $e^p$ for any prime number $p$.

Ključne riječi

irrationality of numbers e; number e; transcendental numbers

Hrčak ID:

87340

URI

https://hrcak.srce.hr/87340

Datum izdavanja:

3.10.2012.

Podaci na drugim jezicima: hrvatski

Posjeta: 4.812 *