Uploaded February 2021 | Updated September 2026, 3 weeks ago
Mathematica Essentials - the first PRO COURSE from Socratica
Buy here: socratica.com/courses/mathematica-essentials
EPISODE 1 is here: socratica.link/Mathematica1
Mathematica Essentials is a comprehensive first course in Mathematica. You might think "Mathematica" is a program just for mathematics, but it can be used in ANY computational field: financial analysis, machine learning, data visualization, bioinformatics, speech recognition, and much, much more.
In addition to showing how Mathematica can be used in many different fields, we will also cover the essential mathematical applications: solving equations, numerical methods, calculus, differential equations, linear algebra, modular arithmetic, and much more. Along the way, we'll see the essential features of the Wolfram Language, the language that lies at the heart of Mathematica, Wolfram | One, and other products from Wolfram.
๐๐ผ๐๐ ๐๐๐๐? snu.socratica.com/mathematica-essentials
Visit the "Mathematica Essentials" course page at: socratica.com/courses/mathematica-essentials
Theme: Cody Martin Brittle Bones DDTOEVO3MIFAGC3P
#Mathematica #Math #WolframLanguage
Mathematica Essentials - the first PRO COURSE from Socratica
Buy here: socratica.com/courses/mathematica-essentials
EPISODE 1 is here: socratica.link/Mathematica1
Mathematica Essentials is a comprehensive first course in Mathematica. You might think "Mathematica" is a program just for mathematics, but it can be used in ANY computational field: financial analysis, machine learning, data visualization, bioinformatics, speech recognition, and much, much more.
In addition to showing how Mathematica can be used in many different fields, we will also cover the essential mathematical applications: solving equations, numerical methods, calculus, differential equations, linear algebra, modular arithmetic, and much more. Along the way, we'll see the essential features of the Wolfram Language, the language that lies at the heart of Mathematica, Wolfram | One, and other products from Wolfram.
๐๐ผ๐๐ ๐๐๐๐? snu.socratica.com/mathematica-essentials
Visit the "Mathematica Essentials" course page at: socratica.com/courses/mathematica-essentials
Theme: Cody Martin Brittle Bones DDTOEVO3MIFAGC3P
#Mathematica #Math #WolframLanguage










![Ideals in Ring Theory (Abstract Algebra)
An ideal of a ring is the similar to a normal subgroup of a group. Using an ideal, you can partition a ring into cosets, and these cosets form a new ring - a factor ring. (Also called a quotient ring.)
After reviewing normal subgroups, we will show you *why* the definition of an ideal is the simplest one that allows you to create factor rings.
As an example, we will look at an ideal of the ring Z[x], the ring of polynomials with integer coefficients.
โฆโฆโฆโฆโฆโฆโฆโฆโฆโฆ
This video was made possible by our VIP Patrons on Patreon!
Thank you for supporting our work this year. Because of you, we are able to continue making the highest quality math videos, free for the world.
Our amazingly generous Patrons include Tracy Karin Prell, Carlos Araujo, Markie Waid, Martin Stephens, David Borger, Burhan Saifaddin, MdeG, Michael, Umar Khan, John Krawiec, Patrick Cool, Tim Tapio, Deeptanshu Malik, Kevin B, Terrill Frantz, Charles Southerland, Andre Gibbs, and Ahmed Sakr.
โบ Join our Patreon : https://www.patreon.com/socratica
โบ Make a one-time PayPal donation: https://www.paypal.me/socratica
โบ We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
โฆโฆโฆโฆโฆโฆโฆโฆโฆโฆ
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNote...
โฆโฆโฆโฆโฆโฆโฆโฆโฆโฆ
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
โฆโฆโฆโฆโฆโฆโฆโฆโฆโฆ
Teachingโ โAssistant:โ โโ โLilianaโ โdeโ โCastro
Writtenโ โ&โ โDirectedโ โbyโ โMichaelโ โHarrison
Producedโ โbyโ โKimberlyโ โHatchโ โHarrison
#AbstractAlgebra #Math #Maths
โฆโฆโฆโฆโฆโฆโฆโฆโฆโฆ Ideals in Ring Theory (Abstract Algebra)](https://i.ytimg.com/vi/F0wA0xLZSQ8/mqdefault.jpg)