Sökning: "uppsala matematik"

Visar resultat 1 - 5 av 733 avhandlingar innehållade orden uppsala matematik.

1. 1. Matematikens utveckling i Sverige fram till 1731

   Författare :Staffan Rodhe; Hans Wallin; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; Swedenborg; Polhem; Duhre; Klingenstierna; svensk matematikhistoria; serier; oändligt lilla; infinitesimal; oändlighet; kalkyl; Bernoulli; professor; Uppsala; differential; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Sammanfattning : This thesis contains two parts:In the first papers I consider the development of mathematics up till around 1720. I have done a special study of the period between 1710 and 1720, when you could find three Swedes writing about contemporary mathematics, Christopher Polhem, Emanuel Swedenborg and Anders Gabriel Duhre. LÄS MER

3. 2. 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

4. 3. On some computer-aided proofs in analysis

   Författare :Tomas Johnson; Warwick Tucker; Piotr Zgliczynski; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Mathematics; Matematik; Mathematics; Matematik;

   Sammanfattning : .... LÄS MER

5. 4. Interpolation of Hilbert spaces

   Författare :Yacin Ameur; Frank Hansen; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Sammanfattning : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). LÄS MER

7. 5. Random tournaments and random circuits

   Författare :Pontus Andersson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Poisson-Dirichlet distribution; random circuit decomposition; random tournament; subgraph count; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Sammanfattning : This thesis is devoted to two different topics in the area of probabilistic combinatorics: asymptotic behaviour of subgraph counts in a random tournament and random circuit decompositions of complete graphs.Let Tn be a random tournament on n vertices, chosen uniformly from all 2(n2) such tournaments, and let D be an arbitrary directed graph. LÄS MER