Bertholf and Walls provided a characterization for the class of groups quasi-injective finite. Furthermore, Juriaans, Bastos Azevedo and give a rating for the injective type groups, which are a distinct class of the former despite being quite close.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Bertholf e Walls forneceram uma caracterização para a classe de grupos quasi-injetivos finitos...
In this dissertation, we study the multiplicity of solutions for the following class of semilinear elliptic problems involving the critical Sobolev exponent, ---u = - juj2---2 u + f (x; u) ; x 2 e u = 0; x 2 @ ; where N - 3, - RN is a smooth and bounded domain, - is a positive real parameter and 2- = 2N= (N - 2) is the critical Sobolev exponent. In obtaining our result, we use variational methods, such as, mini...
Hesse said in one of his articles that a hypersurface in the projective space Pn that has null hessian polynomial is a cone. Later, Gordam and Noether prove that the statement of Hesse is valid only for n 3, presenting counter-examples for n 4. Initially we tried to solve the problem in a direct and elementary form, been well succeeding only in the case of P1, so we set out to study the dual of variety and pola...
In this work we study cubic surfaces in P3. More specically, we take care to count the number of lines on these surfaces. In chapter one we proved that the number of lines on a non-singular cubic surface in P3 is 27. In chapter two, as the motivation for chapter three, we focused in the classifcation of singularities of plane curves. For the singular case, discussed in chapter three, we used two algorithm to co...
This investigative study appears as a dissertation linked to the graduate program in social work at the federal university of Paraíba. Analyzes the national Program of Student Assistance (PNAES) from the perspective of social workers from the federal university of Campina Grande (UFCG) and the federal university of Paraíba (UFPB). And for both, contemplates three specific goals, which are: contextualize the uni...
The growing presence of persons with disabilities on the job market is a very recent phenomenon. It took centuries for disabled men and women to be recognized as productive workers. Women with disabilities suffer discrimination doubly, both for being women and also for being disabled. This study aims to analyze if the current legislation in Brazil referring to women´s labor rights and social-labor insertion nor...
This research work deals with the application of differential and integral calculus theories involved in the management businesses, particularly in the financial and economic areas. Several works were used as bibliographical research sources, including those focusing on Calculus, Mathematics Applied to Economics and Financial Mathematics. A detailed study of calculus and financial and economic theory was carrie...
Since ancient times, for about 4000 years, many people have already solved polynomial equations in their daily lives through problems and practices constructions. In this paper, we study some algebraic and geometric methods used for solving polynomial equations. We start talking about factoring and division of polynomials, device Briot-Ruffini, relationships Girard, theorem of the complex roots and the theorem ...
This dissertation is focused on the Euler's theorem for polyhedra homeomorphic to the sphere. Present statements made by Cauchy, Poincaré and Legendre. As a consequence we show that there are only ve regular convex polyhedra, called polyhedra Plato.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Esta dissertação tem como tema central o Teorema de Euler para poliedros homeomorfos à esfera....
In this work we treat the study the isoperimetric inequality, with primary focus in its demonstration, using geometry. It is divided in two parts. The preliminary chapter, which portrays some de nitions and propositions of the plane geometry regarding polygons, curves and relationships between area and perimeter, as well as a study on maximum, minimum, average and the principle of nite induction, that serve as ...