By Michal Krizek, Florian Luca, Lawrence Somer, A. Solcova

French mathematician Pierre de Fermat turned leading for his pioneering paintings within the region of quantity conception. His paintings with numbers has been attracting the eye of beginner mathematicians for over 350 years. This ebook used to be written in honor of the four-hundredth anniversary of his start and is predicated on a chain of lectures given via the authors. the aim of this booklet is to supply readers with an summary of the numerous houses of Fermat numbers and to illustrate their a variety of appearances and functions in components reminiscent of quantity conception, likelihood idea, geometry, and sign processing. This booklet introduces a common mathematical viewers to simple mathematical principles and algebraic equipment attached with the Fermat numbers and may supply valuable analyzing for the beginner alike.

Michal Krizek is a senior researcher on the Mathematical Institute of the Academy of Sciences of the Czech Republic and affiliate Professor within the division of arithmetic and Physics at Charles college in Prague. Florian Luca is a researcher on the Mathematical Institute of the UNAM in Morelia, Mexico. Lawrence Somer is a Professor of arithmetic on the Catholic collage of the US in Washington, D. C.