Sökning: "geometric algebra"

Visar resultat 1 - 5 av 14 uppsatser innehållade orden geometric algebra.

  1. 1. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Teodor Bucht; [2023]
    Nyckelord :Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Sammanfattning : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. LÄS MER

  3. 2. On Geometric Number

    Kandidat-uppsats, Uppsala universitet/Analys och partiella differentialekvationer

    Författare :Petter Gunnarsson; [2023]
    Nyckelord :clifford algebra; hypercomplex number; octonion;

    Sammanfattning : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. LÄS MER

  4. 3. Elevers uppfattningar om växande geometriska mönster : En kvalitativ studie på elever i årskurs 3

    Uppsats för yrkesexamina på avancerad nivå,

    Författare :Linda Andersson; [2023]
    Nyckelord :Algebra; pattern; growing geometric patterns; mathematics education; Algebra; mönster; växande geometriska mönster; matematikundervisning;

    Sammanfattning : .... LÄS MER

  5. 4. Clifford Algebra - A Unified Language for Geometric Operations

    Kandidat-uppsats, KTH/Fysik

    Författare :Leo Gordin; Henrik Taro Hansson; [2022]
    Nyckelord :clifford algebra; geometric algebra; algebra; tensors;

    Sammanfattning : In this paper the Clifford Algebra is introduced and proposed as analternative to Gibbs' vector algebra as a unifying language for geometricoperations on vectors. Firstly, the algebra is constructed using a quotientof the tensor algebra and then its most important properties are proved,including how it enables division between vectors and how it is connected tothe exterior algebra. LÄS MER

  7. 5. An Exploration of Galois Theory with some Classical Results

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematik LTH

    Författare :Olof Klingberg; [2020]
    Nyckelord :Galois theory; Algebra; Field theory; Mathematics and Statistics;

    Sammanfattning : Galois theory unites field theory and group theory to solve some field theoretical problems. The aim of this thesis is to provide a concise introduction to the topic, culminating in the proof of the insolubility of the general quintic equation by radicals. LÄS MER