Essays about: "kroppteori"

Found 2 essays containing the word kroppteori.

1. 1. An almost algebraic proof of the fundamental theorem of algebra

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : David Kamali; [2021]
   Keywords : algebrans fundamentalsats; Sylows satser; kroppteori; Galoisteori; fundamental theorem of algebra; group theory; Sylow theorems; Galois Theory; field theory; Mathematics and Statistics;

   Abstract : By the results of the Sylow theorems, algebraic extension theorems and Galois theory, we shall prove the fundamental theorem of algebra, which states that the set of complex numbers is algebraically closed. This process of abstraction will provide an almost algebraic proof of the theorem and thereby supply us with a tool in solving many questions within the field of mathematics. READ MORE

3. 2. An Exploration of Galois Theory with some Classical Results

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematik LTH

   Author : Olof Klingberg; [2020]
   Keywords : Galois theory; Algebra; Field theory; Mathematics and Statistics;

   Abstract : 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. READ MORE