Abstract Algebra Courses and Certifications

Freya Holmér

Math for Game Devs - Abstract Algebra, Procedural Animation & Splines

Explore advanced math concepts for game development, including abstract algebra, procedural animation, and splines. Learn about complex numbers, quaternions, and geometric algebra for enhanced game design and animation techniques.

• YouTube
• 3 hours 47 minutes
• On-Demand
• Free Video

Insights into Mathematics

An Informal Introduction to Abstract Algebra

Informal introduction to abstract algebra, covering fields, rings, and vector spaces. Explores key concepts and examples, from basic number systems to advanced constructions, providing essential background for algebraic topology.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - Cyclic Groups

Explore cyclic groups in abstract algebra, covering subgroups, general results, and classification theorems through comprehensive mathematical analysis.

• YouTube
• 57 minutes
• On-Demand
• Free Video

ICTP Mathematics

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• On-Demand
• Free Video

Insights into Mathematics

Relations Between Multisets - Abstract Algebra Math Foundations - Lecture 225

Explore integral linear spans and relations between msets, drawing parallels to linear algebra's rank-nullity theorem. Learn to obtain relations using the Hermite normal form algorithm.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Insights into Mathematics

Lattice Relations and Hermite Normal Form - Abstract Algebra Math Foundations 224

Explore lattices and integral linear spans of vexels, including the Hermite normal form algorithm for understanding lattice structure and relations between elements in a spanning set.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - Ideals of Quotients of PIDs

Explore the proof that ideals in quotients of principal ideal domains are principal, delving into the intricacies of abstract algebra and ring theory.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - A PID That Is Not a Euclidean Domain

Explore a principal ideal domain that's not Euclidean, using Dedekind-Hasse Norm and universal side divisor concepts to demonstrate this intriguing algebraic property.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - If D is a UFD then D[x] is a UFD

Explore the proof that polynomial rings over unique factorization domains are also UFDs, covering key concepts like Gauss' lemma and polynomial factorization in integral domains.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - Every PID is a UFD

Explore the connection between principal ideal domains and unique factorization domains, introducing key concepts like ascending chain condition and Noetherian rings.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - The Field of Fractions of an Integral Domain

Explore the concept of field fractions in integral domains, with examples and proofs demonstrating the construction of the smallest containing field.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - More Ring Theory Examples

Explore advanced ring theory concepts, including ideals and homomorphisms in matrix and polynomial rings, with in-depth examples and proofs.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Michael Penn

Abstract Algebra - Properties and Examples of Ring Homomorphisms

Explore ring homomorphisms' properties and examples, including proofs and comparisons of isomorphic groups versus rings in abstract algebra.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Insights into Mathematics

Bases and Dimension for Integral Linear Spaces - Abstract Algebra Math Foundations

Explore spanning sets, bases, and dimensions in integral linear spaces. Learn convenient notations for vexels and discover a multiset-oriented approach to mathematical structures.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Abstract Algebra

2 reviews

Explore fundamental concepts of abstract algebra, including sets, relations, operations, groups, and advanced topics like homomorphisms, cosets, and group actions.

• YouTube
• 10 hours
• On-Demand
• Free Video