As use of the Internet for scholarly communication increases, many scientists from several disciplines including Astronomy, Mathematics, and Physics are using electronic networks to distribute preprints. The innovation of electronic preprint archives on the web, specifically those set up by Paul Ginsparg at Los Alamos, where scientists can submit manuscripts and access papers before the formal peer review process, has gained the attention of scholarly scientific publishers and researchers around the world. This case study of twelve physicists and chemists at the University of Maryland reveals divergent attitudes and behaviors about preliminary electronic dissemination of research. Several hypotheses including economic considerations, historical and technical patterns of work, social and structural factors, community norms, and the attitudes of scientific publishers, are investigated to explore the social aspects of this phenomenon called e-print archives. Preliminary findings suggest that theoreticians in particle physics and condensed matter physics are the most active users of the e-print archives. While graduate students and post-doctoral researchers are called on to navigate the technical difficulties of electronically submitting papers, it is the older more established scientists who promote usage. The influential attitudes of editors and publishers of scientific journals also contribute to understanding current practices and attitudes about the e-print archives. / Master of Science

Scientific Computing (SC) software has had considerable success in achieving improvements in the quality factors of accuracy, precision and efficiency. However other software quality factors, such as reusability, maintainability, reliability and usability are often neglected. This thesis proposes a new methodology, Family Approach for developing Scientific Computing Software (FASCS), to improve the overall quality of SC software. In particular, the aim is to benefit the development of professional end user developed SC programs. FASCS is the first methodology to apply a family approach to develop SC software, where all stages in both the domain engineering phase and the application engineering phase are included. In addition, the challenges for SC software and the characteristics of professional end user developers are also considered. A proof of concept program family, FFEMP, which can solve elasticity problems in solid mechanics using the Finite Element Method (FEM), is developed to illustrate how the proposed methodology can be used. Part of FASCS is a new methodology for systematically eliciting, analyzing and documenting common and variable requirements for a program family. The methodology is termed Goal Oriented Commonality Analysis (GOCA). GOCA proposes two layers of modeling, including the theoretical model and the computational model, to resolve the conflict between the continuous mathematical models that represent the underlying theories of SC problems and the discrete nature of a computer. In addition, the theoretical model and computational model are developed to be abstract and documented separately to improve reusability. Explicitly defined and documented terminology for models and requirements are included in GOCA, which helps avoid ambiguity, which is a potential source of reduced reliability. The traceability of current and future changes is used to potentially improve reusability and maintainability. FASCS includes a Family Member Development Environment (FMDE) for the automatic generation of family members. FMDE is apparently the first complete environment that facilitates automatically generating variable code and test cases for SC program families. The variable code for a specific member of the program family can be automatically generated from a list of variabilities written in a Domain Specific Language (DSL), which is considerably easier than manually writing code for the family member. Some benchmark test cases for the program family can also be automatically generated. Since both family members and test cases can be automatically generated, testing the program family can be performed on the same computational domain with different computational variabilities. This provides partially independent implementations for which test results can be compared to detect potential flaws. This capability partly addresses the unknown solution challenge for SC software. Documentation is also an important part of FASCS. Five new templates for documenting requirements and design are proposed. Traceability matrices, which provide relations between artifacts (and documents) in the different stages of the process, can facilitate understanding of the programs. The matrices can also improve reusability and maintainability by helping trace changes. Nonfunctional requirements, especially nonfunctional variable requirements, are rarely considered in the development of program families. To the knowledge of the author, nonfunctional variable requirements have never been considered in the development of SC program families. Since some nonfunctional requirements are important for SC software, FASCS proposes using some decision making techniques, such as the Analytic Hierarchy Process, to rank nonfunctional variable requirements and select appropriate components to fulfill the requirements. / Thesis / Doctor of Philosophy (PhD)

No description available.

This study investigates learners‟ understandings of the nature of scientific inquiry (NOSI) in relation to their classroom experiences. Using the constructs of nature of scientific inquiry; inquiry-based teaching and learning; and principles of scientific inquiry as theoretical lenses, the study empirically explored learners‟ (n = 120) understandings of the nature of scientific inquiry which were captured through a questionnaire called Learners‟ understanding of science and scientific inquiry (LUSSI) and interviews and their perceptions of classroom inquiry (their experiences of inquiry were elicited through a questionnaire called Principles of scientific inquiry- student (PSI-S) and interviews). The participants were one hundred and twenty learners, 60 from each of two schools in an Education District in Lesotho. Eight learners, four from each school participated in the interviews. At the centre, the investigation sought to understand whether there was any relationship between learners‟ perceptions of their experiences of scientific inquiry and their understandings of the nature of scientific inquiry. As a result, this study was guided by the following questions: what are learners‟ understandings of the nature of scientific inquiry? What are learners‟ perceptions of their experiences of scientific inquiry? Are learners‟ understandings of NOSI in any way related to their experiences of scientific inquiry? Typological approach was used to analyse the qualitative data and descriptive statistics for analysing the quantitative data. The results of this study suggest that learners hold less informed understandings of the nature of scientific inquiry and that learners are experiencing closed-inquiry in their science classroom. The results also show that other learners‟ experiences of scientific inquiry are not related to their understandings of the nature of scientific inquiry. It was recommended that teachers should engage learners in inquiry activities rather than always carrying out teacher-demonstrations. It is also recommended that further studies should be done in Lesotho to examine the relationship between learners‟ understandings of NOSI and their perceptions of their classroom experiences.

A comunicação científica tem vivenciado nos últimos anos transformações geradas pelas tecnologias de informação e comunicação, em especial a Internet e sua interface gráfica, a Web. O periódico científico, como principal canal formal de comunicação, não ficou imune às modificações originadas por sua disponibilização em meio eletrônico. Nesse contexto, esta pesquisa analisa a aceitação e utilização de periódicos científicos eletrônicos por docentes e alunos do curso de pós-graduação do Instituto de Geociências da Universidade de São Paulo, com o objetivo de identificar o uso, a percepção de pontos positivos e negativos e a possibilidade de atuação da biblioteca como facilitadora/intermediadora desse processo. Foram enviados 178 questionários, com taxa de retorno de 79,8% (142 questionários). Os resultados indicam que os docentes e pós-graduandos utilizam de forma rotineira periódicos eletrônicos em suas atividades de ensino e pesquisa, apesar da cultura impressa ainda estar fortemente presente. A maior dificuldade observada foi na identificação e seleção dos recursos informacionais mais adequados, o que abre uma gama de possibilidades de atuação para a biblioteca, tanto na divulgação dos recursos quanto na orientação aos usuários. Considera que, apesar de utilizados rotineiramente, questões como preservação e arquivamento da informação, garantia de acesso ao longo do tempo, desenvolvimento de interfaces confiáveis e disponibilização de coleções retrospectivas precisam ser definidas e resolvidas para a aceitação do periódico científico eletrônico. / In the past years, scientific communication has been through changes generated by information technologies and communication, specially Internet and its graphical interface, the Web. The scientific journal, as a main formal means of communication, has not been immune to those changes, expressed through its availability whithin the electronic field. In this context, this research analyzes the periodic acceptance and use of electronic scientific journals by professors and pupils from the course of graduation at the Instituto de Geociências at the University of São Paulo, and has as objective to identify the use, the perception of positive and negative points and the possibility of the library being a facilitator/intermediator of this process. 178 questionnaires had been sent, with 79,8% return rate (142 questionnaires). The results indicate that the professors and gradutation students have a routine of using the electronic journal in their activities of education and research, although printed culture is still strongly present. The biggest difficulty observed was in the identification and selection of the more adjusted informational resources, which to a series of possibilities for the role of the library, as much in the spreading of the resources as in the orientation of the users. It is considered that, although journals are used as routine, questions such as preservation and information filling, guarantee of access throughout the time, development of trustworthy interfaces and availability of retrospective collections need to be defined and to be decided for the acceptance of electronic scientific journal.

Mesmo inicialmente desenvolvida com base num Fazer, documentado e difundido por meio de manuais na Europa do final do século XIX, a Arquivologia não se restringe a uma área eminentemente prática e requer princípios que orientem os procedimentos deste Fazer e o fundamentem em termos teóricos. Por tratar-se de uma área de Saber \"nova\" e, por assim dizer, ainda em processo de elaboração e desenvolvimento, necessita permanentemente revisitar seus pressupostos e estabelecer seu estatuto de ciência. Neste trabalho pretende-se apresentar reflexões em torno do Objeto científico da Arquivologia, com vistas à proposição de que há diferentes definições no âmbito de sua comunidade científica, ou ainda, de seu campo científico, além de investigar a configuração e consequências destas diferenças no campo científico brasileiro. Para fundamentar a pesquisa realizou-se revisão de literatura sobre o Objeto científico na bibliografia da área, discutindo e contextualizando seu delineamento frente à construção histórico-epistemológica da Arquivologia. Considerou-se necessária pesquisa empírica visando identificar as acepções do Objeto no campo científico brasileiro através de entrevistas junto a pesquisadores da área. / At first developed and based on a Fazer (to make) which was documented and diffused by manuals in the end of the XIX century in Europe, the archival science is not restricted only to a practical eminent area and requires principles that guides the procedures of this Fazer; fundamental in theoretical terms. Since it is an area of new knowledge and still under a process of elaboration and development, it requires a permanent review of its assumptions aiming to establish its statute as science. The aim of this work is to present reflections about the scientific object of archival science with views to the proposition that there are different definitions within its scientific community or even its scientific field; and to investigate the configuration and consequences of these differences in the Brazilian scientific field. In order to support the research process a literature review about the scientific object was conducted to discuss and contextualize its design towards the construction of historical-epistemological aspects of the archival science. An empirical research outline was necessary to identify the meanings of the object in the Brazilian scientific field thorough interviews with researches of the area.

A comunicação científica tem vivenciado nos últimos anos transformações geradas pelas tecnologias de informação e comunicação, em especial a Internet e sua interface gráfica, a Web. O periódico científico, como principal canal formal de comunicação, não ficou imune às modificações originadas por sua disponibilização em meio eletrônico. Nesse contexto, esta pesquisa analisa a aceitação e utilização de periódicos científicos eletrônicos por docentes e alunos do curso de pós-graduação do Instituto de Geociências da Universidade de São Paulo, com o objetivo de identificar o uso, a percepção de pontos positivos e negativos e a possibilidade de atuação da biblioteca como facilitadora/intermediadora desse processo. Foram enviados 178 questionários, com taxa de retorno de 79,8% (142 questionários). Os resultados indicam que os docentes e pós-graduandos utilizam de forma rotineira periódicos eletrônicos em suas atividades de ensino e pesquisa, apesar da cultura impressa ainda estar fortemente presente. A maior dificuldade observada foi na identificação e seleção dos recursos informacionais mais adequados, o que abre uma gama de possibilidades de atuação para a biblioteca, tanto na divulgação dos recursos quanto na orientação aos usuários. Considera que, apesar de utilizados rotineiramente, questões como preservação e arquivamento da informação, garantia de acesso ao longo do tempo, desenvolvimento de interfaces confiáveis e disponibilização de coleções retrospectivas precisam ser definidas e resolvidas para a aceitação do periódico científico eletrônico. / In the past years, scientific communication has been through changes generated by information technologies and communication, specially Internet and its graphical interface, the Web. The scientific journal, as a main formal means of communication, has not been immune to those changes, expressed through its availability whithin the electronic field. In this context, this research analyzes the periodic acceptance and use of electronic scientific journals by professors and pupils from the course of graduation at the Instituto de Geociências at the University of São Paulo, and has as objective to identify the use, the perception of positive and negative points and the possibility of the library being a facilitator/intermediator of this process. 178 questionnaires had been sent, with 79,8% return rate (142 questionnaires). The results indicate that the professors and gradutation students have a routine of using the electronic journal in their activities of education and research, although printed culture is still strongly present. The biggest difficulty observed was in the identification and selection of the more adjusted informational resources, which to a series of possibilities for the role of the library, as much in the spreading of the resources as in the orientation of the users. It is considered that, although journals are used as routine, questions such as preservation and information filling, guarantee of access throughout the time, development of trustworthy interfaces and availability of retrospective collections need to be defined and to be decided for the acceptance of electronic scientific journal.

Mesmo inicialmente desenvolvida com base num Fazer, documentado e difundido por meio de manuais na Europa do final do século XIX, a Arquivologia não se restringe a uma área eminentemente prática e requer princípios que orientem os procedimentos deste Fazer e o fundamentem em termos teóricos. Por tratar-se de uma área de Saber \"nova\" e, por assim dizer, ainda em processo de elaboração e desenvolvimento, necessita permanentemente revisitar seus pressupostos e estabelecer seu estatuto de ciência. Neste trabalho pretende-se apresentar reflexões em torno do Objeto científico da Arquivologia, com vistas à proposição de que há diferentes definições no âmbito de sua comunidade científica, ou ainda, de seu campo científico, além de investigar a configuração e consequências destas diferenças no campo científico brasileiro. Para fundamentar a pesquisa realizou-se revisão de literatura sobre o Objeto científico na bibliografia da área, discutindo e contextualizando seu delineamento frente à construção histórico-epistemológica da Arquivologia. Considerou-se necessária pesquisa empírica visando identificar as acepções do Objeto no campo científico brasileiro através de entrevistas junto a pesquisadores da área. / At first developed and based on a Fazer (to make) which was documented and diffused by manuals in the end of the XIX century in Europe, the archival science is not restricted only to a practical eminent area and requires principles that guides the procedures of this Fazer; fundamental in theoretical terms. Since it is an area of new knowledge and still under a process of elaboration and development, it requires a permanent review of its assumptions aiming to establish its statute as science. The aim of this work is to present reflections about the scientific object of archival science with views to the proposition that there are different definitions within its scientific community or even its scientific field; and to investigate the configuration and consequences of these differences in the Brazilian scientific field. In order to support the research process a literature review about the scientific object was conducted to discuss and contextualize its design towards the construction of historical-epistemological aspects of the archival science. An empirical research outline was necessary to identify the meanings of the object in the Brazilian scientific field thorough interviews with researches of the area.

Esse estudo é uma pesquisa bibliométrica, cujo objetivo é analisar as características da produção científica, colaboração e impacto da matemática brasileira através dos artigos indexados na base de dados Web of Science no período de 2004 a 2013. São objetivos específicos desse estudo: identificar idiomas, áreas e temas de pesquisa dos documentos publicados; examinar os periódicos científicos quanto ao Qualis, fator de impacto e nacionalidade; investigar o vínculo institucional dos autores, a sua localização geográfica e a produtividade atrelada às instituições e regiões brasileiras; analisar a colaboração entre indivíduos, instituições e nações através da coautoria; e analisar o impacto da produção científica através das citações recebidas. Foram revisados, para tanto, aspectos literários ligados à comunicação científica, à colaboração científica e à própria matemática. É um estudo bibliométrico, descritivo, com abordagem quantitativa, de natureza aplicada e em nível macro, cujos dados foram analisados sob a figura de tabelas, gráficos, grafos e mapas, gerados através do uso dos softwares Excel, BibExcel, SPSS, VOSviewer, Philcarto, UCINET e NETDRAW. Apresenta como resultados a recuperação de 8.625 artigos, com taxa de crescimento anual de 8,04% e com coeficiente de determinação de 0,9631, os quais foram produzidos por 8.929 autores diferentes, resultando em 22.268 autorias no total, predominando os artigos escritos por grupos de 2 ou 3 autores, com media de 2,58 e desvio-padrão de 1,15. Mostra que o idioma predominante nos artigos foi o inglês, com 99,49%; que as áreas preponderantes foram Matemática e Matemática, Aplicada; e que os temas mais frequentes foram sistemas e equações. Identifica 526 periódicos, com destaque para o International Journal of Quantum Chemistry, como o periódico que mais fez publicações, e para o Bulletin of the Brazilian Mathematical Society, único periódico brasileiro encontrado. Constata a presença de 74 países e 1.342 instituições (77,2% delas estrangeiras), onde Brasil, Estados Unidos e França foram os países cujas instituições mais apareceram; São Paulo, "Brasil em Geral" (denominação dada às instituições de âmbito federal) e Minas Gerais foram as regiões do Brasil cujas instituições mais se destacaram; e Universidade de São Paulo, Universidade Federal do Rio de Janeiro e Universidade Estadual de Campinas foram as instituições que mais publicações fizeram. Identifica que há 14,04% de autoria única, 34,91% de colaborações nacionais e 51,04% de colaborações internacionais, principalmente junto às nações Estados Unidos, França e Espanha; às instituições Universidade de São Paulo, Universidade Estadual de Campinas e Universidade Federal do Rio de Janeiro; e aos autores Alves CO, da Universidade Federal de Campina Grande, e Svaiter BF, do Instituto Nacional de Matemática Pura e Aplicada. Expõe que os artigos receberam 48.853 citações de 31.692 documentos, principalmente de artigos, no idioma inglês, advindos principalmente dos Estados Unidos e da China e das instituições Universidade de São Paulo e Universidade Federal do Rio de Janeiro, publicados especialmente nos periódicos Journal of Mathematical Analysis and Applications e Nonlinear Analysis-Theory Methods & Applications, sobretudo nas áreas de Matemática, Aplicada e Matemática. Conclui que a área encontra-se em franco desenvolvimento, com significativa internacionalização. Sugerem-se novos estudos e discussões a respeito da área. / The present study is a bibliometric research, which aims to analyze the characteristics of scientific production and collaboration and their impact on Brazilian mathematics through the articles indexed in the database of Web of Science from 2004 to 2013. The specific goals are: to identify languages, areas and research topics of published documents; to examine the scientific journals about the Qualis, to impact factor and nationality; and to investigate the institutional affiliation of the authors, its geographical location and productivity linking it with Brazilian institutions and regions; to analyze the collaboration between individuals, institutions and nations through co-authorship; and analyze the impact of scientific literature through citations received. In order to make the study, were revised literally aspects linked to scientific communication, scientific collaboration and mathematics itself. It is a bibliometric, descriptive study, with quantitative approach, applied nature and macro level, whose data were analyzed under the figure of tables, charts, graphs and maps generated through the use of Excel, BibExcel, SPSS, VOSviewer, Philcarto, UCINET and NETDRAW. It presents results as the recovery of 8625 articles, with annual growth rate of 8.04 % and coefficient of determination of 0.9631, which were produced by 8929 different authors, resulting in 22268 authorship total, predominantly articles by 2 or 3 groups of authors, with an average of 2.58 and standard deviation of 1.15. It shows that English is the predominant language in the articles, with 99.49%; the predominant areas are Mathematics and Applied Mathematics; and that the most frequent topics are systems and equations. It identifies 526 periodicals, with the International Journal of Quantum Chemistry, as the journal with more publications and the Bulletin of the Brazilian Mathematical Society as the only Brazilian journal found. It is noticed the presence of 74 countries and 1342 institutions (77.2% of them foreign), where Brazil, United States and France are the countries with most institutions. São Paulo, "Brazil in General" (name given to federal institutions) and Minas Gerais are the regions of Brazil whose institutions stand out; and University of São Paulo, Federal University of Rio de Janeiro and Campinas State University are institutions with most publications. It identifies that there are a 14.04% percentage of single authorship, 34.91% of national collaborations and 51.04% of international collaborations, especially with the nations of the United States, France and Spain with the following Brazilian institutions: University of São Paulo, State University of Campinas and Federal University of Rio de Janeiro; and the authors Alves CO, of the Federal University of Campina Grande; and Svaiter BF of the National Institute of Pure and Applied Mathematics. It shows that the articles received 48853 citations of 31692 documents, mainly from articles in the English language, also coming mainly from the United States and China and from the institutions University of São Paulo and the Federal University of Rio de Janeiro. It also shows that they are published especially in: Journal of Mathematical Analysis and Applications and Nonlinear Analysis-Theory, Methods & Applications, especially in the fields of Mathematics and Applied Mathematics. It concludes that the area is rapidly developing, with significant internationalization and suggests new studies and discussions about the area.

Esse estudo é uma pesquisa bibliométrica, cujo objetivo é analisar as características da produção científica, colaboração e impacto da matemática brasileira através dos artigos indexados na base de dados Web of Science no período de 2004 a 2013. São objetivos específicos desse estudo: identificar idiomas, áreas e temas de pesquisa dos documentos publicados; examinar os periódicos científicos quanto ao Qualis, fator de impacto e nacionalidade; investigar o vínculo institucional dos autores, a sua localização geográfica e a produtividade atrelada às instituições e regiões brasileiras; analisar a colaboração entre indivíduos, instituições e nações através da coautoria; e analisar o impacto da produção científica através das citações recebidas. Foram revisados, para tanto, aspectos literários ligados à comunicação científica, à colaboração científica e à própria matemática. É um estudo bibliométrico, descritivo, com abordagem quantitativa, de natureza aplicada e em nível macro, cujos dados foram analisados sob a figura de tabelas, gráficos, grafos e mapas, gerados através do uso dos softwares Excel, BibExcel, SPSS, VOSviewer, Philcarto, UCINET e NETDRAW. Apresenta como resultados a recuperação de 8.625 artigos, com taxa de crescimento anual de 8,04% e com coeficiente de determinação de 0,9631, os quais foram produzidos por 8.929 autores diferentes, resultando em 22.268 autorias no total, predominando os artigos escritos por grupos de 2 ou 3 autores, com media de 2,58 e desvio-padrão de 1,15. Mostra que o idioma predominante nos artigos foi o inglês, com 99,49%; que as áreas preponderantes foram Matemática e Matemática, Aplicada; e que os temas mais frequentes foram sistemas e equações. Identifica 526 periódicos, com destaque para o International Journal of Quantum Chemistry, como o periódico que mais fez publicações, e para o Bulletin of the Brazilian Mathematical Society, único periódico brasileiro encontrado. Constata a presença de 74 países e 1.342 instituições (77,2% delas estrangeiras), onde Brasil, Estados Unidos e França foram os países cujas instituições mais apareceram; São Paulo, "Brasil em Geral" (denominação dada às instituições de âmbito federal) e Minas Gerais foram as regiões do Brasil cujas instituições mais se destacaram; e Universidade de São Paulo, Universidade Federal do Rio de Janeiro e Universidade Estadual de Campinas foram as instituições que mais publicações fizeram. Identifica que há 14,04% de autoria única, 34,91% de colaborações nacionais e 51,04% de colaborações internacionais, principalmente junto às nações Estados Unidos, França e Espanha; às instituições Universidade de São Paulo, Universidade Estadual de Campinas e Universidade Federal do Rio de Janeiro; e aos autores Alves CO, da Universidade Federal de Campina Grande, e Svaiter BF, do Instituto Nacional de Matemática Pura e Aplicada. Expõe que os artigos receberam 48.853 citações de 31.692 documentos, principalmente de artigos, no idioma inglês, advindos principalmente dos Estados Unidos e da China e das instituições Universidade de São Paulo e Universidade Federal do Rio de Janeiro, publicados especialmente nos periódicos Journal of Mathematical Analysis and Applications e Nonlinear Analysis-Theory Methods & Applications, sobretudo nas áreas de Matemática, Aplicada e Matemática. Conclui que a área encontra-se em franco desenvolvimento, com significativa internacionalização. Sugerem-se novos estudos e discussões a respeito da área. / The present study is a bibliometric research, which aims to analyze the characteristics of scientific production and collaboration and their impact on Brazilian mathematics through the articles indexed in the database of Web of Science from 2004 to 2013. The specific goals are: to identify languages, areas and research topics of published documents; to examine the scientific journals about the Qualis, to impact factor and nationality; and to investigate the institutional affiliation of the authors, its geographical location and productivity linking it with Brazilian institutions and regions; to analyze the collaboration between individuals, institutions and nations through co-authorship; and analyze the impact of scientific literature through citations received. In order to make the study, were revised literally aspects linked to scientific communication, scientific collaboration and mathematics itself. It is a bibliometric, descriptive study, with quantitative approach, applied nature and macro level, whose data were analyzed under the figure of tables, charts, graphs and maps generated through the use of Excel, BibExcel, SPSS, VOSviewer, Philcarto, UCINET and NETDRAW. It presents results as the recovery of 8625 articles, with annual growth rate of 8.04 % and coefficient of determination of 0.9631, which were produced by 8929 different authors, resulting in 22268 authorship total, predominantly articles by 2 or 3 groups of authors, with an average of 2.58 and standard deviation of 1.15. It shows that English is the predominant language in the articles, with 99.49%; the predominant areas are Mathematics and Applied Mathematics; and that the most frequent topics are systems and equations. It identifies 526 periodicals, with the International Journal of Quantum Chemistry, as the journal with more publications and the Bulletin of the Brazilian Mathematical Society as the only Brazilian journal found. It is noticed the presence of 74 countries and 1342 institutions (77.2% of them foreign), where Brazil, United States and France are the countries with most institutions. São Paulo, "Brazil in General" (name given to federal institutions) and Minas Gerais are the regions of Brazil whose institutions stand out; and University of São Paulo, Federal University of Rio de Janeiro and Campinas State University are institutions with most publications. It identifies that there are a 14.04% percentage of single authorship, 34.91% of national collaborations and 51.04% of international collaborations, especially with the nations of the United States, France and Spain with the following Brazilian institutions: University of São Paulo, State University of Campinas and Federal University of Rio de Janeiro; and the authors Alves CO, of the Federal University of Campina Grande; and Svaiter BF of the National Institute of Pure and Applied Mathematics. It shows that the articles received 48853 citations of 31692 documents, mainly from articles in the English language, also coming mainly from the United States and China and from the institutions University of São Paulo and the Federal University of Rio de Janeiro. It also shows that they are published especially in: Journal of Mathematical Analysis and Applications and Nonlinear Analysis-Theory, Methods & Applications, especially in the fields of Mathematics and Applied Mathematics. It concludes that the area is rapidly developing, with significant internationalization and suggests new studies and discussions about the area.