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James Hamblin
Algebraic Structures: Groups, Rings, and Fields

This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and ...

23:42
Algebraic Structures: Groups, Rings, and Fields

229,950 views

8 years ago

Socratica
Ring Definition (expanded) - Abstract Algebra

A ring is a commutative group under addition that has a second operation: multiplication. These generalize a wide variety of ...

6:51
Ring Definition (expanded) - Abstract Algebra

331,919 views

6 years ago

3Blue1Brown
Group theory, abstraction, and the 196,883-dimensional monster

An introduction to group theory (Minor error corrections below) Help fund future projects: https://www.patreon.com/3blue1brown ...

21:58
Group theory, abstraction, and the 196,883-dimensional monster

3,504,368 views

5 years ago

Socratica
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 ...

11:15
Group Definition (expanded) - Abstract Algebra

968,811 views

8 years ago

Socratica
Field Definition (expanded) - Abstract Algebra

The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex ...

8:06
Field Definition (expanded) - Abstract Algebra

403,809 views

7 years ago

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Eyesomorphic
The Mathematician's Weapon | An Intro to Category Theory, Abstraction and Algebra

A gentle introduction to the study of category theory and abstract algebra, done from the ground-up by exploring the mathematical ...

22:06
The Mathematician's Weapon | An Intro to Category Theory, Abstraction and Algebra

425,339 views

2 years ago

Math Visualized
Galois Theory Explained Simply

To learn more about various areas of Group Theory: https://en.wikipedia.org/wiki/Group_theory Galois Theory article in ...

14:45
Galois Theory Explained Simply

541,197 views

5 years ago

Cofiber
An Introduction to Group Theory

In this video, we cover the basics of group theory. We start with examples like the dihedral group and the symmetric group.

29:41
An Introduction to Group Theory

17,937 views

10 months ago

Insights into Mathematics
Algebraic number theory and rings I  | Math History | NJ Wildberger

In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic.

48:27
Algebraic number theory and rings I | Math History | NJ Wildberger

61,134 views

11 years ago

TED-Ed
Group theory 101: How to play a Rubik’s Cube like a piano - Michael Staff

View full lesson: http://ed.ted.com/lessons/group-theory-101-how-to-play-a-rubik-s-cube-like-a-piano-michael-staff Mathematics ...

4:37
Group theory 101: How to play a Rubik’s Cube like a piano - Michael Staff

1,663,307 views

10 years ago

Socratica
Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra

Normal subgroups are a powerful tool for creating factor groups (also called quotient groups). In this video we introduce the ...

11:24
Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra

444,963 views

7 years ago

Patrick Jones
Abstract Algebra 13.3:  Ideals and Factor Rings

Similar to how normal subgroups are used to create factor groups, ideals are subrings that allow us to form factor rings.

13:20
Abstract Algebra 13.3: Ideals and Factor Rings

14,550 views

7 years ago

Science Please
An Introduction To Group Theory

I hope you enjoyed this brief introduction to group theory and abstract algebra. If you'd like to learn more about undergraduate ...

10:53
An Introduction To Group Theory

183,249 views

8 years ago

3Blue1Brown
Euler's formula with introductory group theory

Intuition for e^(πi) = -1, using the main ideas from group theory Help fund future projects: https://www.patreon.com/3blue1brown ...

24:28
Euler's formula with introductory group theory

2,645,617 views

8 years ago

Nemean
What is Group Theory? — Group Theory Ep. 1

This is the most information-dense introduction to group theory you'll see on this website. If you're a computer scientist like me and ...

31:13
What is Group Theory? — Group Theory Ep. 1

1,168,711 views

3 years ago

Elucyda
Groups, Fields and Vector Spaces (Abstract Algebra Definitions)

Link to Quantum Playlist: https://www.youtube.com/playlist?list=PLl0eQOWl7mnWPTQF7lgLWZmb5obvOowVw #vectorspace ...

28:10
Groups, Fields and Vector Spaces (Abstract Algebra Definitions)

25,960 views

3 years ago

The Learning Studio
Abstract Algebra Explained | Groups, Rings & Fields in Cryptography, Coding & Error Correction

Welcome to The Learning Studio! 🎓 In this twenty-second episode of our Mathematics Series, we dive into Abstract Algebra — the ...

3:05
Abstract Algebra Explained | Groups, Rings & Fields in Cryptography, Coding & Error Correction

123 views

2 months ago

Vektorfeld
Algebra, Group, Ring, Rng, Field, Monoid, Vector space | Abstract algebra systematized

I'd like to add some good literature to this video, but I couldn't decide what to choose. So if you have good textbooks in mind, ...

9:55
Algebra, Group, Ring, Rng, Field, Monoid, Vector space | Abstract algebra systematized

2,549 views

4 months ago