In mathematics, an initial algebra is an initial object in the category of F-algebras for a given endofunctor F. This initiality provides a general framework for induction and recursion. (Wikipedia).
A First Undergraduate Course in Abstract Algebra
This is an older book on Abstract Algebra. It is called A First Undergraduate Course in Abstract Algebra and it was written by Hillman and Alexanderson. Here is one version https://amzn.to/3ISQLNH Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (the
From playlist Book Reviews
We start off by looking at the basics of sets.
From playlist Abstract algebra
Algebra for beginners || Basics of Algebra
In this course you will learn about algebra which is ideal for absolute beginners. #Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like
From playlist 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
Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring
https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring
From playlist Intermediate Algebra (Full Length Videos)
16 You have made it to the first exciting video Operations
To be honest, the topics have been very dry up to now. Here is the first bit of excitement. Operations. Understanding operations is a fundamental priority in abstract algebra.
From playlist Abstract algebra
19. Differntial Algebraic Equations 3
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan Students continued to learn to solve differential algebraic equations, including the dynamic of DAEs and simulation. License: Creative Commo
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Semantics of Higher Inductive Types - Michael Shulman
Semantics of Higher Inductive Types Michael Shulman University of California, San Diego; Member, School of Mathematics February 27, 2013
From playlist Mathematics
Intermediate Algebra-Exponential Functions and Equations
Intermediate Algebra-Exponential Functions and Equations
From playlist Intermediate Algebra
Alexey Bufetov (Bonn) -- Cutoff profile of ASEP on a segment
The mixing behavior of the Asymmetric Simple Exclusion Process (=ASEP) on a segment will be discussed. We will show that its cutoff profile is given by the Tracy-Widom distribution function, which extends earlier results of Labbe-Lacoin and Benjamini-Berger-Hoffman-Mossel. We will also dis
From playlist Columbia Probability Seminar
Orbit of a set in abstract algebra
In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p
From playlist Abstract algebra
Analyticity of power series solutions of algebraic ODEs
From playlist Spring 2018
Roberto La Scala, Università di Bari
Roberto La Scala, Università di Bari Ciphers and difference equations
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Alexey Bufetov: "Interacting particle systems and random walks on Hecke algebras"
Asymptotic Algebraic Combinatorics 2020 "Interacting particle systems and random walks on Hecke algebras" Alexey Bufetov - University of Bonn Abstract: Multi-species versions of several interacting particle systems, including ASEP, q-TAZRP, and k-exclusion processes, can be interpreted a
From playlist Asymptotic Algebraic Combinatorics 2020
From playlist Spring 2018
Cluster algebras and dilogarithm identities (Lecture - 01) by Tomoki Nakanishi
PROGRAM SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS: Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE: Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebraic phenome
From playlist School on Cluster Algebras 2018
Mod-01 Lec-01 Introduction and Overview
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Structural Identifiability of Rational ODE Models in Biological Systems: a real-world application of differential algebra
From playlist Spring 2019 Kolchin Seminar
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