Search for dissertations about: "Mathematics dissertations"

Showing result 1 - 5 of 427 swedish dissertations containing the words Mathematics dissertations.

  2. 1. On Axioms and Images in the History of Mathematics

    Author : Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; MATHEMATICS; MATEMATIK; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry;

    Abstract : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. READ MORE

  4. 2. Selected Topics in Partial Differential Equations

    Author : Mattias Enstedt; Michael Melgaard; William Desmond Evans; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Applied mathematics; Tillämpad matematik;

    Abstract : This Ph.D. thesis consists of five papers and an introduction to the main topics of the thesis. In Paper I we give an abstract criteria for existence of multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators. READ MORE

  5. 3. Admissible transformations and the group classification of Schrödinger equations

    Author : Celestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Pontelis Damianou; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE

  6. 4. Computer-aided Computation of Abelian integrals and Robust Normal Forms

    Author : Tomas Johnson; Warwick Tucker; Lars-Erik Persson; John H. Hubbard; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ordinary differential equations; parameter estimation; planar Hamiltonian systems; bifurcation theory; Abelian integrals; limit cycles; normal forms; hyperbolic fixed points; numerical integration; invariant manifolds; interval analysis. 2000 Mathematics Subject Classification. 34A60; 34C07; 34C20; 37D10; 37G15; 37M20; 37M99; 65G20; 65L09; 65L70.; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. READ MORE

  7. 5. Speaking of Geometry : A study of geometry textbooks and literature on geometry instruction for elementary and lower secondary levels in Sweden, 1905-1962, with a special focus on professional debates

    Author : Johan Prytz; Staffan Rodhe; Anders Öberg; Sten Kaijser; Jan van Maanen; Patricio Herbst; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; geometry instruction; mathematics education; Sweden; textbook; curriculum; professional; elementary school; secondary school; history of mathematics education; history of mathematics; history of education; MATEMATIK;

    Abstract : This dissertation deals with geometry instruction in Sweden in the period 1905-1962. The purpose is to investigate textbooks and other literature used by teachers in elementary schools (ES) and lower secondary schools (LSS) – Folkskolan and Realskolan – connection to geometry instruction. READ MORE