Model theory | Category theory
In model theory, a discipline within mathematical logic, an abstract elementary class, or AEC for short, is a class of models with a partial order similar to the relation of an elementary substructure of an elementary class in first-order model theory. They were introduced by Saharon Shelah. (Wikipedia).
10 Relations (still with the not-so-exciting-stuff)
This video introduces relations between pairs of elements.
From playlist Abstract algebra
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
Video series introducing abstract algebra. As promised, here's a link to one of my favorite channels: https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
From playlist Abstract algebra
We start off by looking at the basics of sets.
From playlist Abstract algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
#2 Idenitfying Irrational numbers
An example that helps in identifying irrational numbers and understanding the basic concepts of irrational numbers.
From playlist Middle School This Year
Lecture 2. Homomorphisms and ideals
From playlist Abstract Algebra 2
How You Can Learn Graduate Level Abstract Algebra
This is one of the best graduate level abstract algebra books and is probably the most widely used in schools today. This book is well written and is extremely comprehensive, and is a must have for anyone who is serious about learning more abstract algebra. This is the book on amazon: htt
From playlist Cool Math Stuff
Viviane Durand-Guerrier : Démarche expérimentale et apprentissages mathématiques [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Forum mathématiques vivantes
Perfect Numbers and Elementary Methods in Modern Research (Josh Zelinsky) | Ep. 15
Josh Zelinsky is a number theorist and teacher at the Hopkins school in New Haven, CT. We discuss his experience as a former academic teaching high school mathematics and his research to address whether there are any odd perfect numbers, one of the oldest unsolved problems in mathematics.
From playlist Daniel Rubin Show, Full episodes
On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
Analysis Seminar Topic: On the long-term dynamics of nonlinear dispersive evolution equations Speaker: Wilhelm Schlag Affiliation: University of Chicago Visiting Professor, School of Mathematics Date: Febuary 14, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
The Ideas of Quine - Bryan Magee & Quine (1978)
In this program, Willard Van Orman Quine discusses the nature of philosophy and some of his own work in philosophy with host Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. #Philosophy #BryanMagee #Quine
From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)
Mathematics for Elementary Teachers by Forbes and Eicholz #shorts
Mathematics for Elementary Teachers by Forbes and Eicholz #shorts Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book Reviews: https://www.youtube.com/playlist?list=PLO1y6V1SXjjM-1azbCNYq2-A1_7KaioNr If you enjoyed this video please co
From playlist Book Reviews #shorts
Diffeomorphism Groups of Critical Regularity (Lecture 4) by Sang-hyun Kim
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
These are math books that were never reprinted. We take a look at these books in this video. The books cover precalculus, calculus, and abstract algebra. Elementary Functions: An Approach to Precalculus Mathematics: https://amzn.to/3K9yc9N Essentials of Abstract Algebra: https://amzn.to/4
From playlist Book Reviews
Basic Concepts of Elementary Mathematics
In this video I will show you a math book that covers a wide variety of topics. This book is very different from your typical algebra or pre-calc book in that it covers different areas of math. It is primarily written for students who want to become teachers or liberal arts majors. I think
From playlist Book Reviews
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
My Math Book Collection (Top Row of a Bookshelf)
In this video I go over the top row of one of my bookshelves. I was honestly surprised to see how many math books were here. Many of these books I had actually forgotten I had. I will be reviewing more books in the future:) Instead of listing the individual links to each the books here, j
From playlist Book Reviews