Sökning: "MATHEMATICS"

Visar resultat 1 - 5 av 2916 avhandlingar innehållade ordet MATHEMATICS.

  1. 1. On axioms and images in the history of Mathematics

    Detta är en avhandling från Uppsala : Department of Mathematics, Uppsala University

    Författare :Johanna Pejlare; Uppsala universitet.; Göteborgs universitet.; Gothenburg University.; [2007]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; MATHEMATICS; MATEMATIK; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; axiomatization; intuition; visualization; images; Euclidean geometry;

    Sammanfattning : 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. LÄS MER

  3. 2. Vector-valued Eisenstein series of congruence types and their products

    Detta är en avhandling från Gothenburg : Chalmers tekniska högskola

    Författare :Jiacheng Xia; [2019]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

    Sammanfattning : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. LÄS MER

  4. 3. Selected Topics in Partial Differential Equations

    Detta är en avhandling från Uppsala : Department of Mathematics

    Författare :Mattias Enstedt; Michael Melgaard; William Desmond Evans; [2011]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; MATHEMATICS Applied mathematics; MATEMATIK Tillämpad matematik;

    Sammanfattning : 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. LÄS MER

  5. 4. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

    Detta är en avhandling från Västerås : Mälardalen University

    Författare :Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; [2017]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Sammanfattning : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. LÄS MER

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

    Detta är en avhandling från Linköping : Linköping University Electronic Press

    Författare :Celestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Pontelis Damianou; [2017]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : 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. LÄS MER