Download 17 Lectures on Fermat Numbers: From Number Theory to by Michal Krizek,Florian Luca,Lawrence Somer,A. Solcova PDF

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

The pioneering paintings of Pierre de Fermat has attracted the eye of mathematicians for over 350 years. This e-book offers an outline of the various houses of Fermat numbers and demonstrates their purposes in parts akin to quantity conception, likelihood idea, geometry, and sign processing. it truly is a terrific creation to the fundamental mathematical rules and algebraic tools hooked up with the Fermat numbers.

Show description

Read Online or Download 17 Lectures on Fermat Numbers: From Number Theory to Geometry (CMS Books in Mathematics) PDF

Similar number theory books

Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications (Chapman & Hall Pure and Applied Mathematics)

First constructed within the early Eighties by way of Lenstra, Lenstra, and Lovász, the LLL set of rules was once initially used to supply a polynomial-time set of rules for factoring polynomials with rational coefficients. It in a short time turned a vital instrument in integer linear programming difficulties and used to be later tailored to be used in cryptanalysis.

The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics)

The speculation of elliptic curves is exceptional through its lengthy historical past and via the variety of the equipment which were utilized in its examine. This publication treats the mathematics procedure in its glossy formula, by utilizing uncomplicated algebraic quantity thought and algebraic geometry. Following a short dialogue of the required algebro-geometric effects, the ebook proceeds with an exposition of the geometry and the formal staff of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and worldwide fields.

Algebraic Operads: An Algorithmic Companion

Algebraic Operads: An Algorithmic spouse offers a scientific therapy of Gröbner bases in different contexts. The ebook builds as much as the idea of Gröbner bases for operads as a result moment writer and Khoroshkin in addition to a number of purposes of the corresponding diamond lemmas in algebra. The authors current quite a few subject matters together with: noncommutative Gröbner bases and their functions to the development of common enveloping algebras; Gröbner bases for shuffle algebras which are used to unravel questions on combinatorics of diversifications; and operadic Gröbner bases, vital for functions to algebraic topology, and homological and homotopical algebra.

Geometry, Analysis and Probability: In Honor of Jean-Michel Bismut (Progress in Mathematics)

This quantity provides unique study articles and prolonged surveys relating to the mathematical curiosity and paintings of Jean-Michel Bismut. His impressive contributions to likelihood idea and worldwide research on manifolds have had a profound influence on numerous branches of arithmetic within the parts of regulate thought, mathematical physics and mathematics geometry.

Additional resources for 17 Lectures on Fermat Numbers: From Number Theory to Geometry (CMS Books in Mathematics)

Sample text

Download PDF sample

Rated 4.11 of 5 – based on 36 votes
 

Author: admin