Una demostración del volumen y la medida superficial de la bola unidad

Abstract

In statistical physics it is necesary express some results using the volume of a hypersphere, which is a generalization of a sphere for a dimention larger than three. On the other hand, different models of the shape of the universe has been proposed, particularly some of then consider a curved shape and can be modeled as a hypersphere. In this paper we focus on obtaining the volume and surface measurement of a hypersphere of unit radius often called unit ball