arXiv subjects
Publications and source records attributed to Jonathan Taborda.
There are two problems Analytical Geometry with facing anyone who studies this discipline: define the nature of the locus represented by the general equation 2do degree in two or three variables: That curve represents the plane? What surface is in space? These two problems are posed and solved by applying the study of matrices and spectral theory
The purpose of this note consists of discrete rational reconstruction which took place during the years 1609-1630 and 1630-1666, ie, the year of the publication of their Astronomia Nova and the year of death of the great German astronomer Johannes Kepler, and the subsequent range from desperate to knowledge of these laws of planetary motion, by the English scientist Sir Isaac Newton.
The following notes are intended to make a small digression on the topics mentioned in the title of the same, since these were not addressed in the past tribute by the Institute of Physics of the UdeA. We believe more than platitude try to justify the importance and effectiveness in the development of mathematics and physics during the eighteenth century and present such issues, therefore a brief description of the methods and problems attacked by Euler and his contemporaries using the heuristics. Note in advance that they constitute a strong impoverished attempt to honor the memory of who is considered the Shakespeare of Mathematics: Universal, rich in detail and inexhaustible.
The aim of this short note is to realize that the main reason for non-mechanistic explanation of Newton's gravitational attraction, is explicitly encapsulated in his famous General Scholium of the second Edition of Principia Mathematica (1713).