MATE-1103 Teoría de Números

The theory of numbers has determined and keeps on determining, to a large extent, the history of mathematics. The study requires the development and execution of rigorous reasoning. The problems tabled, many of them disconcerting by its apparent simplicity, have been a source of inspiration for mathematics creation at all levels. Topics: During the first three months, these topics addressed will include divisibility, primes, linear equations, congruence, quadratic residues, multiplicative functions, diofantinas nonlinear equations, continued fractions, approximation of irrational, distribution of primes. If time allows, the last month will be devoted to topics selected by the instructor.




Caicedo Ferrer Xavier