delo diplomskega seminarja
Domen Gradišek (Author), George Mejak (Mentor)

Abstract

Najprej bomo definirali tenzorje v vsej splošnosti in spoznali nekaj operacij z njimi.Nato bomo naše zanimanje zožili na poseben tip tenzorjev (tenzorje drugega reda)in opazovali njihove lastnosti. Potem se bomo osredotočili na eno vrsto funkcij in preslikav, ki slikajo iz prostora tenzorjev in jim pravimo izotropične funkcije oziroma preslikave. Na koncu pa bomo preko skalarnih, vektorskih in tenzorskih polj spoznali še integralske izreke kot posplošitev rezultatov iz vektorske analize.

Keywords

matematika;tenzorji;endomorfizmi;izotropičnost;gradient;divergenca;rotor;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: [D. Gradišek]
UDC: 512
COBISS: 121250819 Link will open in a new window
Views: 408
Downloads: 41
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary title: Tensor calculations in mechanics
Secondary abstract: First, we will define tensors in all generality and define some operations with them. Then we will focus on special kinds of tensors, called tensors of second order, and observe their properties. Later we are going to study special functions mapping from tensor spaces, called isotropic functions. At the end, we will define scalar, vector and tensor fields, and prove some integral theorems.
Secondary keywords: mathematics;tensors;endomorphisms;isotropic;gradient;divergence;curle;
Type (COBISS): Final seminar paper
Study programme: 0
Thesis comment: Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja
Pages: 32 str.
ID: 16458505
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