Base-dependent integer sequences | Ring theory | P-adic numbers | Arithmetic dynamics | Modular arithmetic | Number theory | Mathematical analysis
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base whose square "ends" in the same digits as the number itself. (Wikipedia).
Irrational Numbers - What are they?
Learn what an irrational number is in this free math video tutorial by Mario's Math Tutoring. 0:07 What is an Irrational Number 0:11 What is an Integer 0:35 Example of a Rational Number 7 1:02 Example of How a Repeating Decimal is Rational 1:26 Example 1 is Square Root of 7 Rational? 1:40
From playlist Algebra 1
Ex: Linear Equation Application with One Variable - Number Problem
This video provides and example of how to solve a number problem using a linear equation with one variable. One number is a multiple of the other. The difference is a constant. Find the two numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Whole Number Applications
Double Precision | Lecture 2 | Numerical Methods for Engineers
A description of the IEEE standard for a double precision number in MATLAB. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.co
From playlist Numerical Methods for Engineers
1. Unsigned Binary Numbers - How to Convert From Unsigned Binary Numbers to Whole Numbers
This tutorial shows how to convert from an unsigned binary number to a whole number. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Binary Numbers
Different Types of Numbers on the number line, lesson 1 #shorts
Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of na
From playlist Celebrities Teach Math: The Number System
Ex 2: Number Problem: Find a Number given a Relationship
This video explains how to find a number given the difference of a number and 1/4 of the number is 192. Complete Video Library: http://www.mathispower4u.com Search Videos: http://www.mathispower4u.wordpress.com
From playlist Applications: Solving Linear Equations in One Variable
This video tutorial explains how to perform a binary to octal conversion. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
From playlist Number Systems
Complex Numbers - Multiplication | Don't Memorise
How are two complex numbers multiplied? Watch this video to know more To access all videos related to Complex Numbers, enrol in our full course now: https://bit.ly/ComplexNumbersDM In this video, we will learn: 0:00 addition of complex numbers 0:27 multiplication of complex numbers To
From playlist Complex Numbers
Tutorial - What is an imaginary number
http://www.freemathvideos.com In this video playlist you will learn everything you need to know with complex and imaginary numbers
From playlist Complex Numbers
Group theory 30: Outer automorphisms
This lecture is part of an online course on group theory. We find the automorphism groups of symmetric groups, and in particular show that the symmetric group on 6 points has "extra" (outer) automorphisms.
From playlist Group theory
Galois theory: Frobenius automorphism
This lecture is part of an online graduate course on Galois theory. We show that the Frobenius automorphism of a finite field an sometimes be lifted to characteristic 0. As an example we use the Frobenius automorphisms of Q[i] to prove that -1 i a square mod an odd prime p if and only if
From playlist Galois theory
Visual Group Theory, Lecture 4.6: Automorphisms
Visual Group Theory, Lecture 4.6: Automorphisms An automorphism is an isomorphism from a group to itself. The set of all automorphisms of G forms a group under composition, denoted Aut(G). After a few simple examples, we learn how Aut(Z_n) is isomorphic to U(n), which is the group consist
From playlist Visual Group Theory
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 1
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)
CTNT 2022 - An Introduction to Galois Representations (Lecture 1) - by Alvaro Lozano-Robledo
This video is part of a mini-course on "An Introduction to Galois Representations" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - An Introduction to Galois Representations (by Alvaro Lozano-Robledo)
Lia Groups and Lie Algebras Lesson 6 (redux):The classical groups part IV
Lia Groups and Lie Algebras Lesson 6 (redux):The classical groups part IV
From playlist Lie Groups and Lie Algebras
GT12.1. Automorphisms of Dihedral Groups
Abstract Algebra: We compute Aut(G), Inn(G), and Out(G) when G is a dihedral group D_2n. We also show that Aut(D_2n) always contains a subgroup isomorphic to D_2n and that Aut(D_2n) may be realized as a matrix group with entries n Z/n.
From playlist Abstract Algebra
Creating functions that take us between even and odd numbers
From playlist Geometry
Automorphism groups and modular arithmetic
Jacob explains the concept of the automorphism group of a group, as well as how such groups give rise to useful properties of multiplication in modular arithmetic, including Fermat's Little Theorem.
From playlist Basics: Group Theory