Proof theory is a branch of mathematical logics where the phenomenon of mathematical proof becomes an object of algebra or arithmetic.
The proof is usually presented as the structure of data, such as plain lists or trees, up to the hypothetic extremely complicated structures or machines which are constructed according to the axioms and rules of the logical systems.
It deals with such problems as triangulation, construction of a convex hull, the defining of the belonging of one object to another one, the search of their intersection etc.
It operates with such geometric objects as a point, a segment, a polygon and a circle. Calculus theorems: Calculus is a branch of mathematics that deals with the research of functions and their generalization by the methods of the differential and integral calculus.
Boolean functions, theorems and technical application: Model theory is a branch of mathematical logics that deals with study of relations between the formal languages and their interpretations, or models.
A model is a structure that gives meaning to the formal language sentences, and if it satisfies also a particular theory it is called a model of the theory. Set theory is the branch of mathematics that deals with the general behavior of sets.Stereometry is a branch of geometry that deals with the solid figures in space.When the main figures in space there are a point, a line and a plane, in the stereometry there appears a new kind of the relationship of lines, that is the skew lines.In this case, you’ll be able to use your background knowledge acquired while writing one paper for your next projects.Try to search for something that will allow you not to fall out of the general research work and to have a basis for your current task.The computational geometry is used in the image recognition, computer graphics, engineering design etc. Calculus has the resources for solving such problems for which only algebra is insufficient and has application in various spheres pf science.The history of calculus springs from the Ancient Greece, but many of the important ideas were developed in the 17th century, and the most prominent step in the development of calculus was made in the studies of Isaac Newton and Gottfried Leibniz who nowadays are considered to be the founders of calculus. Vectors may be added together and scaled by numbers (“scaled” vectors are called scalars).To give a broad perspective of some mathematics research paper topics the custom essay writers of 1.Homology Theories Homologies are one of the basic notions of the algebraic topology.A mathematics research paper is an extremely intricate task that requires immense concentration, planning and naturally clear basic knowledge of mathematics, but what is essential for a higher level research is the successful choice of a topic, matching your personal interests and level of competence.You may be given a list of possible topics or to be allowed to choose yourself, but nevertheless consider your interest in the research field and if it is possible, try to choose a topic relevant to your previous and future research papers and tasks.