The Volume of the Torus Using the Parametric Description of that Surface Area

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000813" target="_blank" >RIV/46747885:24510/12:#0000813 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The Volume of the Torus Using the Parametric Description of that Surface Area

Original language description

The multidimensional real integrals need to one of the very important applications. In the papers [1] and [2], that problem is investigated as a topological problem and the formula for the calculation of the area (resp. volume) of the n-dimensional solidin the space En is proved there. In that theory, we must find suitable parametric descriptions of the surface areas of solids for the calculation of their volumes. Then the surface areas are the smooth (respective by parts smooth) areas in Euclidean space of the corresponding dimensions. The method shows a new approach to the solving of the known problems. The paper follows the papers [1] and [2]. One part concerns a parameterization of a torus and the set of normals of a torus. Using the parametric description the volume of the torus is calculated by that method.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

IX International Scientific Conference FCE TUKE

ISBN

978-80-553-0905-7

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

1-6

Publisher name

Technical University of Košice

Place of publication

Košice

Event location

Košice

Event date

Jan 1, 2012

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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