Diss.--Heidelberg--Universität, 1994. / Contient les fragments du poème "Erigone" en grec ancien et de courts témoignages d'auteurs de l'antiquité, en grec et en latin, sur ce mythe.

Inaug.-Diss.--Greifswald. / Vita.

<p>This paper deals with the development of scientific geography during Antiquity from its mythical background before the seventh century BC to Claudius Ptolemy during the second century AD. The main focus is on questions concerning the shape of the earth, its place in the universe, size and mapping of the earth. Already before 400 BC, the idea of the earth as a globe was firmly estabished. During classical time, Aristotle used empirical and rational arguments to prove that the earth was a sphere and that it was situated motionless in the center of the universe. In the third century BC, the first reasonably correct measurements of the circumference of the earth was carried out by Eratosthenes. Later, a lower, incorrect measurement of the circumference of the earth was made by Poseidonius. His measurement was for some reason accepted by later geographers.The first map of the earth that we know of is on a clay tablet from Mesopotamia from c. 600 BC. The first useful maps were constructed during the Roman era.</p>

This paper deals with the development of scientific geography during Antiquity from its mythical background before the seventh century BC to Claudius Ptolemy during the second century AD. The main focus is on questions concerning the shape of the earth, its place in the universe, size and mapping of the earth. Already before 400 BC, the idea of the earth as a globe was firmly estabished. During classical time, Aristotle used empirical and rational arguments to prove that the earth was a sphere and that it was situated motionless in the center of the universe. In the third century BC, the first reasonably correct measurements of the circumference of the earth was carried out by Eratosthenes. Later, a lower, incorrect measurement of the circumference of the earth was made by Poseidonius. His measurement was for some reason accepted by later geographers.The first map of the earth that we know of is on a clay tablet from Mesopotamia from c. 600 BC. The first useful maps were constructed during the Roman era.

Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-06-21T11:05:12Z No. of bitstreams: 2 Dissertação - Maurício dos Santos Matos Malaquias - 2018.pdf: 2856630 bytes, checksum: a00fba48e864a23964adc8e7b38bb34b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-06-27T10:52:48Z (GMT) No. of bitstreams: 2 Dissertação - Maurício dos Santos Matos Malaquias - 2018.pdf: 2856630 bytes, checksum: a00fba48e864a23964adc8e7b38bb34b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-06-27T10:52:48Z (GMT). No. of bitstreams: 2 Dissertação - Maurício dos Santos Matos Malaquias - 2018.pdf: 2856630 bytes, checksum: a00fba48e864a23964adc8e7b38bb34b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-03-29 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This dissertation is theoretical and has the main objectives of proposing, unprecedentedly, the Goldbach Bingo, alluding to the Goldbach Conjecture and inspiration in the Goldbach Game. The construction of the proposal, for application in the 7th Year of Elementary School, was divided into moments such as Souza's methodology. Finally we did the analysis and justification of the importance of the proposal and the use of games in Mathematics teaching, based on the questions of Cabral and the perspectives of Regina Grando, Tizuko Kishimoto and Cristiano Muniz. Our Goldbach Bingo proposal was designed to help teachers improve content such as even and odd numbers, prime numbers, and the Sieve of Eratosthenes and also the Goldbach Conjecture. / Essa dissertação é de cunho teórico e tem por objetivos principais propor, de modo inédito, o Bingo de Goldbach, em alusão à Conjectura de Goldbach e inspiração no Jogo de Goldbach. A construção da proposta, para aplicação no 7° Ano do Ensino Fundamental, foi dividida em momentos como na metodologia de Souza. Por fim fizemos a análise e justificativa da importância da proposta e do Uso de Jogos no ensino de Matemática, com base nos questionamentos de Cabral e nas perspectivas de Regina Grando, Tizuko Kishimoto e Cristiano Muniz. Nossa proposta do Bingo de Goldbach foi pensada com intuito de auxiliar professores a aprimorar conteúdos tais como números pares e ímpares, números primos e o Crivo de Eratóstenes e também a Conjectura de Goldbach.

Orientador: José Plínio de Oliveira Santos / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-27T11:40:03Z (GMT). No. of bitstreams: 1 Nascimento_MarcusViniciusSilva_M.pdf: 918557 bytes, checksum: de0f1627892732c764e7f5046966336f (MD5) Previous issue date: 2015 / Resumo: Nosso objetivo, nesse trabalho, é o de fazer um estudo sobre o método do crivo. A motivação reside no desejo de aplicar essas ideias a uma situação particular. Dividimos nosso trabalho em três partes. Na primeira fornecemos apenas as definições e con- ceitos básicos. Na segunda apresentamos o principio da inclusão-exclusão que embora sendo algo bastante conhecido merece destaque especial dada a sua importância como ferramenta no nosso trabalho. Na terceira e última parte, fazemos uma contextualização histórica e uma descrição da evolução das ideias do crivo de Eratóstenes-Legendre. A escolha desse crivo, dentre tantos outros, foi feita tendo em vista dois pontos. O primeiro é que o crivo de Eratóstenes-Legendre é o mais simples dentre os crivos estudados na teoria dos crivos. O segundo ponto está relacionado com o fato deste crivo fornecer a ideia geral dos crivos combinatoriais, uma vez que os crivos mais sofisticados são extensões de suas ideias básicas / Abstract: Our aim in this work is to make a study about the sieve method. The motivation lies in the intent of applying this idea in a particular situation. We splitted the study into three parts. The first part deals with definitions and basic concepts. In the second we present the principle of inclusion-exclusion while being something well known deserves special mention given its importance as a tool in our work. In the third and final part, we make a historical contextualization and a description of the evolution of the sieve Eratosthenes- Legendre ideas. The choice of sieve, among many others, has been made taking into account two points. The first is that the Eratosthenes-Legendre sieve is the simplest among the sieves studied the theory of sieves. The second point is related to the fact that this sieve provide the general idea of combinatorial sieve, since the more sophisticated sieves are extensions of its basic idea / Mestrado / Matematica Aplicada / Mestre em Matemática Aplicada

The text of this thesis deals with techniques of parallel processing calculations. It is an analysis of the most important libraries for parallelization including libraries for parallelization on GPU graphics cards and computing speed by comparing these libraries in Visual Studio 2010 based on a simple application searching primes on three different computer hardware configurations. With OpenCL library, that achieved the best result, there are formed two applications – an improved program for searching prime numbers using the sieve of Eratosthenes and a program for calculating the integral with the trapezoidal rule.

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-09-05T16:47:02Z No. of bitstreams: 1 arquivototal.pdf: 1153647 bytes, checksum: a384e4d5e2acf05cec52ece972237c23 (MD5) / Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2017-09-06T10:49:22Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1153647 bytes, checksum: a384e4d5e2acf05cec52ece972237c23 (MD5) / Made available in DSpace on 2017-09-06T10:49:22Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1153647 bytes, checksum: a384e4d5e2acf05cec52ece972237c23 (MD5) Previous issue date: 2016-08-17 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The process of teaching and learning of mathematics is closely related to the resolution of theoretical and practical problems, which often involve situations of everyday life in our society. This work aims to present the Inclusion and Exclusion Principle as a tool for solving many problems involving counting elements, especially those that appear double, triple counting, among others. It also seeks to relate it with the determination of prime numbers of a number and the Sieve of Eratosthenes, use it to systematize the Formula of the function Fi ( Phi) Euler, as well as for determining the number of permutations Chaotic and number of Sobrejetoras functions. / O processo de ensino aprendizagem da Matemática está intimamente relacionado com a resolução de problemas teóricos e práticos, os quais geralmente envolvem situações do cotidiano de nossa sociedade. Esse trabalho tem como objetivo apresentar o Princípio da Inclusão e Exclusão como ferramenta para resolução de vá- rios modelos de problemas que envolvem a contagem de elementos, principalmente aquelas que aparecem contagem duplas, triplas, dentre outras. Além disso, busca relacioná-lo com a determinação de números primos de um número e com o Crivo de Eratóstenes, utilizá-lo para sistematizar a Fórmula da Função Fi ( ) de Euler, bem como para a determinação do Número de Permutações Caóticas e do Número de Funções Sobrejetoras.