Abstract Algebra Courses and Certifications

Abstract Algebra: Group Theory with the Math Sorcerer

478 ratings at Udemy

Master abstract algebra fundamentals through group theory, from basic operations to advanced concepts like homomorphisms and quotient groups. Develop mathematical maturity through proven theorems and practical problem-solving.

• Udemy
• 10 hours 1 minute
• On-Demand
• Paid Course

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 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

Kimberly Brehm

Abstract Algebra

1 review

Comprehensive introduction to abstract algebra, covering symmetries, groups, isomorphisms, and more. Follows Gallian's text with accompanying slide decks for in-depth understanding.

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

Abstract Algebra - Polynomial Rings

Explora el álgebra abstracta con enfoque en anillos polinomiales, algoritmo de división, polinomios irreducibles y criterio de Eisenstein.

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

Abstract Algebra Integral Domains

Explore advanced concepts in integral domains, including fractions, primes, factorization, and various domain types. Gain deep insights into abstract algebra principles and their applications.

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

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

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

Insights into Mathematics

An Introduction to Abstract Algebra - Abstract Algebra Math Foundations

Explore fundamental algebraic structures like groups, rings, fields, and vector spaces through intuitive examples, providing a bird's-eye view of abstract algebra's foundational concepts.

• YouTube
• 26 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

The Number Theory You Need to Learn Abstract Algebra

Explore essential number theory concepts like division algorithm, Euclidean algorithm, and congruence modulo n, laying the foundation for abstract algebra studies.

• YouTube
• 44 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