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Reciprocals, Powers of 10, and Euler's Totient Function II - Data Structures Math Foundations

Offered By: Insights into Mathematics via YouTube

Tags

Number Theory Courses Group Theory Courses Algebraic Properties Courses

Course Description

Overview

Explore the concept of unit groups U(n) for natural numbers and their connection to Euler's totient function in this 26-minute mathematics lecture. Delve into the algebraic properties of multiplication modulo n, even for composite numbers. Discover how to determine the length of repeated cycles in fractions like 1/n for large values of n. Learn important number theory and group theory facts related to unit groups, including Lagrange's theorem. Gain insights into the foundations of mathematics while improving your understanding of algebraic structures and their applications.

Syllabus

Introduction
Multiplication table
Examples
Facts
Fundamental fact


Taught by

Insights into Mathematics

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