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Mahler measure evaluations in terms of polylogarithmsCondon, John Donald 28 August 2008 (has links)
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Mahler measure evaluations in terms of polylogarithmsCondon, John Donald, Rodríguez Villegas, Fernando, January 2004 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Fernando Rodríguez Villegas. Vita. Includes bibliographical references. Available also from UMI company.
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Sobolev trace inequality and logarithmic Sobolev trace inequalityPark, Young Ja, January 2000 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 44-46). Available also in a digital version from Dissertation Abstracts.
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Some relations of Mahler measure with hyperbolic volumes and special values of L-functionsLalín, Matilde Noemí 28 August 2008 (has links)
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Gerahmte gemische Tate-Motive und die Werte von Zetafunktionen zu Zahlkörpern an den Stellen 2 und 3Kleinjung, Thorsten. January 1900 (has links)
Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2000. / Date from cover. Includes bibliographical references (p. 77).
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Some relations of Mahler measure with hyperbolic volumes and special values of L-functionsLalín, Matilde Noemí, Rodriguez-Villegas, Fernando, January 2005 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2005. / Supervisor: Fernando Rodriguez-Villegas. Vita. Includes bibliographical references.
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A Development of the Exponential and Logarithmic FunctionsMackey, Benford B. 01 1900 (has links)
This thesis discusses a development of the exponential and logarithmic functions.
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Identities for the multiple polylogarithm using the shuffle operation /Ryoo, Ji Hoon, January 2001 (has links)
Thesis (M.A.) in Mathematics--University of Maine, 2001. / Includes vita. Includes bibliographical references (leaf 45).
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Collegiate student's epistemologies and conceptual understanding of the role of models in precalculus mathematics : a focus on the exponential and logarithmic functions /Melendy, Robert F. January 1900 (has links)
Thesis (Ph. D.)--Oregon State University, 2008. / Printout. Includes bibliographical references (leaves 165-173). Also available on the World Wide Web.
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Modelos de crescimento e decaimento aplicados ao ensino de fun??es exponenciais e logar?tmicasNunes, Lincoln Ferreira 19 May 2017 (has links)
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Previous issue date: 2017 / Este trabalho relaciona a utiliza??o da Modelagem Matem?tica no processo de ensino-aprendizagem das fun??es exponenciais e logar?tmicas nos primeiros anos do Ensino Superior, com possibilidades de aplica??o no Ensino M?dio. Inicialmente, relacionou-se a import?ncia das fun??es supracitadas na descri??o de fen?menos das ci?ncias em geral. Em seguida, ap?s an?lise sobre os livros did?ticos, detectou-se defici?ncias em rela??o ? contextualiza??o do estudo das referidas fun??es nestes livros. Para propor sequ?ncias did?ticas que auxiliassem a suprir as lacunas desta contextualiza??o utilizou-se a Modelagem Matem?tica, com aux?lio do software GeoGebra. Para analisar a utiliza??o das sequ?ncias did?ticas propostas, foi escolhida a Engenharia Did?tica como metodologia de pesquisa. Finalmente, ap?s planejadas as sequ?ncias did?ticas, as interven??es did?ticas foram realizadas, tendo como p?blico-alvo um grupo de estudantes do curso de Bacharelado em Ci?ncia e Tecnologia do Campus Mucuri da Universidade Federal dos Vales do Jequitinhonha e Mucuri. Ao final das interven??es, question?rios e relatos produzidos foram analisados, em rela??o ao cumprimento do objetivo inicial da pesquisa. Constatou-se ao final das an?lises dos resultados obtidos, um progresso expressivo dos estudantes em rela??o ? compreens?o da utiliza??o das fun??es supracitadas nas ci?ncias. / Disserta??o (Mestrado Profissional) ? Programa de P?s-Gradua??o Matem?tica, Universidade Federal dos Vales do Jequitinhonha e Mucuri, 2017. / This work relates the use of Mathematical Modeling in the teaching-learning process of exponential and logarithmic functions in College Education, With possibilities of application in High School. The importance of the above-mentioned functions in phenomenas description in general was initially related. Then, after analyzing the textbooks, deficiencies were detected in relation to the contextualization of the study of these functions in these books. In order to propose didactic sequences that helps to fulfil the gaps of this
contextualization, Mathematical Modelling with the help of software GeoGebra was used. In order to analyze the use of the proposed didactic sequences, Didactic Engineering was chosen as a research methodology. Finally, after the didactic sequences were planned, the didactic interventions were carried out targeting a group of students from the Bachelor?s Degree in Science and Technology of the Mucuri Campus of the Federal University of the Jequitinhonha and Mucuri Valleys. At the end of the interventions, the questionnaires and reports produced were analyzed in relation to the accomplishment of the initial objective
of the research. At the end of the analysis of the reports and questionnaires, a very significant progress was made by the students in understanding the use of these functions in the sciences.
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