As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
From playlist College Algebra
The Lie-algebra of Quaternion algebras and their Lie-subalgebras
In this video we discuss the Lie-algebras of general quaternion algebras over general fields, especially as the Lie-algebra is naturally given for 2x2 representations. The video follows a longer video I previously did on quaternions, but this time I focus on the Lie-algebra operation. I st
From playlist Algebra
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Units in a Ring (Abstract Algebra)
The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar
From playlist Abstract Algebra
Transcendental numbers powered by Cantor's infinities
In today's video the Mathologer sets out to give an introduction to the notoriously hard topic of transcendental numbers that is both in depth and accessible to anybody with a bit of common sense. Find out how Georg Cantor's infinities can be used in a very simple and off the beaten track
From playlist Recent videos
Cantor's Infinity Paradox | Set Theory
Sign up to brilliant.org to receive a 20% discount with this link! https://brilliant.org/upandatom/ Cantor sets and the nature of infinity in set theory. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every two weeks! *SUBSCRIBE TO UP AND ATO
From playlist Math
Group actions on 1-manifolds: A list of very concrete open questions – Andrés Navas – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.8 Group actions on 1-manifolds: A list of very concrete open questions Andrés Navas Abstract: Over the last four decades, group actions on manifolds have deserved much attention by people coming from different fields
From playlist Dynamical Systems and ODE
Measure Theory 2.4 : Sets of Measure Zero
In this video, I introduce the Cantor Set, and prove that it and countable sets (including the rationals) have measure zero. Email : fematikaqna@gmail.com Subreddit : reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Simple addition mistakes are my favourite! Replace ...55555 + ...5555 with ...99999 + 1 or ...5555 + ...44445 or something, I'm sure you can figure it out. edit 2: Yes, you'll have to slightly change the algebra to prove that math breaks when you replace the numbers above. I have full con
From playlist Recreational Math Videos
A road to the infinities: Some topics in set theory by Sujata Ghosh
PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.
From playlist Summer School for Women in Mathematics and Statistics 2019
Some Small Ideas in Math: A Set of Measure Zero Versus a Set of First Category (Meager Sets)
There are a ton of different ways to define what it means for a set to be "small". Here, we will focusing on the difference between a set of measure zero versus a set of first category by using examples to demonstrate that they are different sizing methods. Depending on the context of the
From playlist The New CHALKboard
Quiz: Composition of Functions (Graph & Table)
Link: https://www.geogebra.org/m/QgN7nwCh
From playlist Algebra 1: Dynamic Interactives!
Ahlfors-Bers 2014 "Roots of Polynomials and Parameter Spaces"
Sarah Koch (University of Michigan): In his last paper, "Entropy in Dimension One," W. Thurston completely characterized which algebraic integers arise as exp(entropy(f)), where f is a postcritically finite real map of a closed interval. On page 1 of this paper, there is a spectacular ima
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
Zero to Infinity | Full Documentary | NOVA | PBS
Discover how the concepts of zero and infinity revolutionized mathematics. Official Website: https://to.pbs.org/3tkPFTx | #novapbs Zero and infinity. These seemingly opposite, obvious, and indispensable concepts are relatively recent human inventions. Discover the surprising story of h
From playlist Full episodes I NOVA
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Real Analysis Ep 17: The Cantor Set
Episode 17 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the Cantor set. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.fairfie
From playlist Math 3371 (Real analysis) Fall 2020