An investigation into the algebraic structure of our numbers.
An investigation into the algebraic structure of our numbers.

with 1 - American Mathematical Society
with 1 - American Mathematical Society

Lectures on Sieve Methods - School of Mathematics, TIFR
Lectures on Sieve Methods - School of Mathematics, TIFR

34(2)
34(2)

Basic Number Theory
Basic Number Theory

Large gaps between consecutive prime numbers
Large gaps between consecutive prime numbers

Study Guide Advanced Algebra Semester Final 12/16/2009 Direct
Study Guide Advanced Algebra Semester Final 12/16/2009 Direct

The ordered distribution of Natural Numbers on the Square Root Spiral
The ordered distribution of Natural Numbers on the Square Root Spiral

background on constructible angles
background on constructible angles

Full text
Full text

... i=1 is called a Kentucky sequence if every ai (i ≥ 1) is the smallest positive integer that does not have a Kentucky legal decomposition using the elements {a1 , . . . , ai−1 }. From the definition of a Kentucky legal decomposition, the reader can see that the first five terms of the sequence must b ...
infinite loop
infinite loop

Modular curves, Arakelov theory, algorithmic applications
Modular curves, Arakelov theory, algorithmic applications

Math 445 Homework 5 Solutions Due Wednesday, October 6 21. If
Math 445 Homework 5 Solutions Due Wednesday, October 6 21. If

FACTORING IN QUADRATIC FIELDS 1. Introduction √
FACTORING IN QUADRATIC FIELDS 1. Introduction √

Circular Arrays
Circular Arrays

Introduction to Number Theory 2
Introduction to Number Theory 2

E-lesson
E-lesson

Ce document est le fruit d`un long travail approuvé par le jury de
Ce document est le fruit d`un long travail approuvé par le jury de

Fraction IX Least Common Multiple Least Common Denominator
Fraction IX Least Common Multiple Least Common Denominator

Here
Here

47 ←Numerator←Denominator
47 ←Numerator←Denominator

Computability on the Real Numbers
Computability on the Real Numbers

Text (PDF format)
Text (PDF format)

Sample pages 2 PDF
Sample pages 2 PDF

The Fundamentals: Algorithms, the Integers, and Matrices
The Fundamentals: Algorithms, the Integers, and Matrices

Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.