  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.
