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1. 1. Skolans matematik : En kritisk analys av den svenska skolmatematikens förhistoria, uppkomst och utveckling

   Författare :Sverker Lundin; Donald Broady; Sten Kaijser; Göteborgs universitet; []
   Nyckelord :HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; matematik; skolmatematik; historia; Matematik;

   Sammanfattning : I argue that common beliefs regarding mathematics originate in the practices of elementary mathematics instruction rather than in science. While learning how to solve mathematical problems in school, we come to believe that mathematics has a set of properties in itself, for instance that it is useful in everyday life, even though this is not necessarily so. LÄS MER

3. 2. Mathematical Multi-Objective Optimization of the Tactical Allocation of Machining Resources in Functional Workshops

   Författare :Sunney Fotedar; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Decision-making; Robust efficient solutions; Discrete bi-objective optimization; Capacity planning; Discrete tri-objective optimization; Production planning; Coverage gap;

   Sammanfattning : In the aerospace industry, efficient management of machining capacity is crucial to meet the required service levels to customers and to maintain control of the tied-up working capital. We introduce new multi-item , multi-level capacitated resource allocation models with a medium--to--long--term planning horizon. LÄS MER

4. 3. Wheeled Operads in Algebra, Geometry, and Quantization

   Författare :Johan Granåker; Sergei A. Merkulov; Andrey Lazarev; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; operads; deformation theory; homotopy algebra; deformation quantization; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Sammanfattning : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. LÄS MER

5. 4. Vector-valued Eisenstein series of congruence types and their products

   Författare :Jiacheng Xia; Chalmers tekniska högskola; []
   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

7. 5. Models for coupled active-passive population dynamics : Mathematical analysis and simulation

   Författare :Thi Kim Thoa Thieu; Adrian Muntean; Matteo Colangeli; Grigorios A. Pavliotis; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; pedestrian dynamics; simple exclusion process; Forchheimer flows; Skorohod equations; nonlinear coupling; heterogenous domain; homogenization; drafting; evacuation; Matematik; Mathematics;

   Sammanfattning : In this dissertation, we study models for coupled active--passive pedestrian dynamics from mathematical analysis and simulation perspectives. The general aim is to contribute to a better understanding of complex pedestrian flows. LÄS MER