Sökning: "visual mathematics"

Visar resultat 1 - 5 av 40 avhandlingar innehållade orden visual mathematics.

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

   Författare :Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
   Nyckelord :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;

   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. Mathematical models of biological interactions

   Författare :Linnéa Gyllingberg; David J.T. Sumpter; Kolbjörn Tunström; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

   Sammanfattning : Mathematical models are used to describe and analyse different types of biological interactions.  From self-propelled particle models capturing the collective motion of fish schools to models in mathematical neuroscience describing the interactions between neurons to individual-based models of ecological interactions. LÄS MER

4. 3. Studies in the Conceptual Development of Mathematical Analysis

   Författare :Kajsa Bråting; Anders Öberg; Hans Niels Jahnke; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; History of mathematics; conceptual development; mathematical analysis; Other mathematics; Övrig matematik; Mathematics; Matematik;

   Sammanfattning : This dissertation deals with the development of mathematical concepts from a historical and didactical perspective. In particular, the development of concepts in mathematical analysis during the 19th century is considered. The thesis consists of a summary and three papers. In the first paper we investigate the Swedish mathematician E. LÄS MER

5. 4. Computer Vision Based Analysis of Animal Behavior

   Författare :Tobias Palmér; Mathematical Imaging Group; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Datorseende; bildanalys; djurbeteende; neurofysiologi; tillämpningar; refraktion; Computer vision; animal tracking; behavioral analysis; refractions; underwater images; relative pose;

   Sammanfattning : The behavior of animals is commonly studied in medicine and biology. There is a large variation in what animals are studied, in experimental paradigms and purpose.However, many studies on animal behavior have at least one thing in common - it typically involves measuring or studying the kinematics of the animal. LÄS MER

7. 5. Grafisk och algebraisk representation : Gymnasieelevers förståelse av linjära funktioner

   Författare :Annika Pettersson; Igor Gachkov; Kerstin Pettersson; Lovisa Sumpter; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; mathematics education; linear function; graphic representation; scale; concept image; Matematik; Mathematics;

   Sammanfattning : This thesis concerns upper secondary students’ understanding of algebraic and graphic representation of linear functions. Components of the students’ concept images, so-called ‘concept elements’, were studied as a way to capture their understanding. LÄS MER