Sökning: "fundamental theorem of algebra"
Hittade 3 uppsatser innehållade orden fundamental theorem of algebra.
1. An almost algebraic proof of the fundamental theorem of algebra
Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : 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. LÄS MER
2. The classification theorem for closed surfaces
Kandidat-uppsats, Lunds universitet/Matematik LTHSammanfattning : In this thesis we will study some basic concepts in algebraic topology such as the fundamental group, simplicial complexes and simplicial homology. These are then used together with a method called surgery to prove a complete topological classification of closed surfaces... LÄS MER
3. On Intersections of Algebraic Curves and Applications to Elliptic Curves
Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : In this thesis we state and give elementary proofs for some fundamental results about intersections of algebraic curves, namely Bezout's, Max Noether's, Pappus's, Pascal's and Chasles' theorems. Our main tools are linear algebra and basic ring theory. We conclude the thesis by applying the results to elliptic curves.. LÄS MER