Algebraic structures | Binary operations | Non-associative algebra
In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with a single binary operation that must be closed by definition. No other properties are imposed. (Wikipedia).
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
Quiz: Composition of Functions (Graph & Table)
Link: https://www.geogebra.org/m/QgN7nwCh
From playlist Algebra 1: Dynamic Interactives!
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
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
Definition of a matrix | Lecture 1 | Matrix Algebra for Engineers
What is a matrix? Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
Link: https://www.geogebra.org/m/gV9GRCRN
From playlist Algebra 1: Dynamic Interactives!
CTNT 2020 - A virtual tour of Magma
This video is part of a series of videos on "Computations in Number Theory Research" that are offered as a mini-course during CTNT 2020. In this video, we take a virtual tour of Magma, the computational algebra system, paying special attention to its number theory capabilities. Please clic
From playlist CTNT 2020 - Computations in Number Theory Research
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
An Introduction to Algebraic Substructures - The Submagma
Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Paper's Playlist: https://www.youtube.com/watch?v=nvYqkhZFzyY&lis
From playlist Bachelor's Paper
CTNT 2020 - Computations in Number Theory (by Alvaro Lozano-Robledo) - Lecture 3
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 - Computations in Number Theory Research
From Magmas to Fields: a trippy excursion through algebra - SoME2 3b1b
A gentle introduction to the most basic definitions in Algebra (and how to make them stick forever). If you always struggled to remember what a field is this video is for you. You will learn about: 0:00 This videos aim 1:20 Sets 1:52 Magmas 3:15 Semigroups 4:39 Monoids 5:22 Groups 6:04 Co
From playlist Summer of Math Exposition 2 videos
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
Computational Number Theory - Lecture 1/4 by Harris Daniels [CTNT 2018]
Full playlist: https://www.youtube.com/playlist?list=PLJUSzeW191QxlmJmz1glCXN0AF-VhXi-G Mini-course D: “Computational Number Theory” by Harris Daniels (Amherst College). Both Magma and Sage/CoCalc are extremely useful computer algebra packages for doing research in number theory. The
From playlist Number Theory
What is a group? -- Abstract Linear Algebra 3
⭐Highly Suggested Linear Algebra books⭐ Linear Algebra, an introduction to abstract mathematics: https://amzn.to/3rkp4Wc Linear Algebra Done Right: https://amzn.to/3rkp4Wc The Manga Guide to Linear Algebra: https://amzn.to/3HnS59o A First Course in Linear Algebra: http://linear.ups.edu/ Li
From playlist Abstract Linear Algebra
Kiran S. Kedlaya: Frobenius structures on hypergeometric equations: computational methods
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Current implementations of the computation of L-functions associated to hypergeometric motives in Magma and Sage rely on a p-adic trace formula
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
CTNT 2020 - Computations in Number Theory (by Alvaro Lozano-Robledo) - Lecture 4
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 - Computations in Number Theory Research
CTNT 2018 - "Computational Number Theory" (Lecture 1) by Harris Daniels
This is lecture 1 of a mini-course on "Computational Number Theory", taught by Harris Daniels (Amherst College), during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Computational Number Theory" by Harris Daniels
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
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
Donald Cartwright: Construction of lattices defining fake projective planes - lecture 6
Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 28, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Algebraic and Complex Geometry