The Fibonacci Sequence

This presentation, centered on Fibonacci number theory and its applications. aims at instilling in beginners' minds the best and perhaps the only enduring motive to read mathematics, which is the aesthetic motive, by showing to them an anthology of mathematical ideas acknowledged to be attractive, convincing by their logic, stirring by their beauty. We will bring to light the fact that the Fibonacci numbers are an inexhaustible well of ideas, a gold mine from which professors can borrow to stimulate the interest of their students towards mathematics and its applications. To introduce these astonishing numbers, one only has to count the spirals on pineapples, cones, sunflowers, ordaisies. A crowd of mathematical concepts follows, threads of the fabric of modern mathematics and incentives for research. The level of difficulty follows a low-peak normal curve from very easy to very hard.