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Reticulados via corpos ciclotômicos

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ISBN: 9788568334393 Year: Pages: 194 DOI: 10.7476/9788568334393 Language: Portuguese
Publisher: SciELO Books - Editora UNESP
Subject: Mathematics
Added to DOAB on : 2017-05-03 11:26:21
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O primeiro capítulo, assim, introduz osconceitos de módulo, inteiro algébrico, norma e traço de um elemento,discriminante, base integral, anel de Dedekind e outros conceitosindispensáveis ao desenvolvimento dos demais capítulos. Estuda ainda as formas quadráticas, as quais se aplicam para determinar o raio de empacotamento da realização geométricade um ideal em questão.O capítulo 2 apresenta um estudo sobre corpos de números, com ênfase nos anéis dos inteiros e discriminantes de corpos quadráticos e ciclotômicos, além de abordar a decomposição de um ideal primo em uma extensão fazendo uso do Teorema de Kummer.As definições de reticulado, empacotamento esférico, volume e densidade de centro são abordadas no terceiro capítulo, que ainda trata do método de Minkowski para obtenção de reticulados via representação geométrica de ideais dos anéis de inteiros algébricos.

Keywords

MATHEMATICS

Modelagem Matemática : perspectivas, experiências, reflexões e teorizações

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ISBN: 9788577982325 Year: DOI: 10.7476/9788577982325 Language: Portuguese
Publisher: SciELO Books - Editora UEPG
Subject: Mathematics
Added to DOAB on : 2018-05-31 11:19:52
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Essa nova edição mantém os capítulos da primeira, porém, sob outra estrutura, a partir da inclusão de cinco novos, totalizando doze que constituíram quatro núcleos: 1) Sobre a perspectiva de Modelagem, 2) Modelagem Matemática nos níveis e modalidades de ensino, 3) Modelagem Matemática e Formação de Professores, 4) Modelagem Matemática e Teorizações. A partir desses núcleos foi possível apresentar um novo subtítulo que expressa a sua unidade temática: Modelagem Matemática: perspectivas, experiências, reflexões e teorizações. Para além de um novo título, esse novo livro avança em questões pertinentes ao tema e, ao agregar os capítulos, permite efetuar reflexões mais robustas do ponto de vista de cada núcleo. Com isso, esperamos que essa obra traga as devidas contribuições a todos os interessados na prática e na pesquisa em Modelagem.

Keywords

MATHEMATICS

Progress in Commutative Algebra 1

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Book Series: De Gruyter Proceedings in Mathematics ISBN: 9783110250343 9783110250404 Year: Pages: 372,00 DOI: 10.1515/9783110250404 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102374
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics.

Keywords

Mathematics

Planar Dynamical Systems

Authors: --- ---
ISBN: 9783110298291 9783110298369 Year: Pages: 389,00 DOI: 10.1515/9783110298369 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102378
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. This book is intended for graduate students, post-doctors and researchers in the area of theories and applications of dynamical systems. For all engineers who are interested the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of an one-year course on nonlinear differential equations.

Keywords

Mathematics

Multidimensional Inverse and Ill-Posed Problems for Differential Equations

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ISBN: 9783110346664 Year: Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102377
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interest to researchers in the field of applied mathematics, geophysics and mathematical biology.

Keywords

Mathematics

Signal Processing

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ISBN: 9781482241846 Year: Language: English
Publisher: CRC Press Grant: Knowledge Unlatched - 102705
Subject: Mathematics
Added to DOAB on : 2019-10-23 11:21:13
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This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier analysis to three new chapters to provide additional background information, presents real-world examples of applications that demonstrate how mathematics is used in remote sensing, and includes robust appendices and problems for classroom use.

Keywords

Mathematics

Progress in Commutative Algebra 2

Authors: --- --- ---
Book Series: De Gruyter Proceedings in Mathematics ISBN: 9783110278590 9783110278606 Year: Pages: 325,00 DOI: 10.1515/9783110278606 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102373
Added to DOAB on : 2019-04-25 11:21:03
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This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and more.

Keywords

Mathematics --- Mathematics

Proceedings of the 13th International Congress on Mathematical Education: ICME-13

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Book Series: ICME-13 Monographs ISSN: 2520-8322 / 2520-8330 ISBN: 9783319625966 9783319625973 Year: Pages: 766 DOI: https://doi.org/10.1007/978-3-319-62597-3 Language: English
Publisher: Springer
Subject: Mathematics
Added to DOAB on : 2017-11-24 15:18:22
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The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes.The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Helmut Hasse und Emmy Noether - Die Korrespondenz 1925 - 1935

Authors: --- --- ---
ISBN: 9783938616352 3938616350 Year: Language: German
Publisher: Universitätsverlag Göttingen
Subject: Science (General) --- Mathematics
Added to DOAB on : 2011-11-04 00:00:00
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This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noether's sudden death in 1935. The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noether's style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse - Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added.

Proceedings of the International Conference on Social Modeling and Simulation, plus Econophysics Colloquium 2014

Authors: --- --- ---
Book Series: Springer Proceedings in Complexity ISSN: 22138684 ISBN: 9783319205908 9783319205915 Year: Pages: 346 DOI: 10.1007/978-3-319-20591-5 Language: English
Publisher: Springer
Subject: Economics
Added to DOAB on : 2016-06-08 18:07:54
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The proceedings of the international conference “SMSEC2014”, a joint conference of the first “Social Modeling and Simulations” and the 10th “Econophysics Colloquium”, held in Kobe in November 2014 with 174 participants, are gathered herein. Cutting edge scientific researches on various social phenomena are reviewed. New methods for analysis of big data such as financial markets, automobile traffics, epidemic spreading, world-trades and social media communications are provided to clarify complex interaction and distributions underlying in these social phenomena. Robustness and fragility of social systems are discussed based on agent models and complex network models. Techniques about high performance computers are introduced for simulation of complicated social phenomena. Readers will feel the researchers minds that deep and quantitative understanding will make it possible to realize comprehensive simulations of our whole society in the near future, which will contribute to wide fields of industry also to scientific policy decision.

Keywords

complexity --- mathematics

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