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Mathematics
Group Theory
Isomorphisms

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Isomorphisms Courses and Certifications

Explore structure-preserving mappings in abstract algebra, group theory, and linear algebra to understand mathematical equivalence. Access rigorous mathematical content through YouTube lectures from leading institutions and Swayam courses, covering applications from vector spaces to lambda calculus.

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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
A Weihrauch Degree Perspective on the Difficulty of Finding Isomorphisms

Explore the computational complexity of finding isomorphisms between structures through Weihrauch degrees, examining categoricity and uniformity in computable model theory.
- YouTube
- 49 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Isomorphism Problems as Equivalence Relations

Explore how isomorphism problems in algebra connect to computability theory, examining classification of algebraic structures and their computational complexities.
- YouTube
- 56 minutes
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- Free Video
Hausdorff Center for Mathematics
Exploring Structural Aspects of Punctual Degrees

Explore punctual degrees in computable structure theory, examining primitive recursive presentations and isomorphisms without unbounded search in mathematical structures.
- YouTube
- 53 minutes
- On-Demand
- Free Video
Insights into Mathematics
Commutative Groups: Isomorphisms, Homomorphisms, Cosets and Quotient Groups - Lecture 3

Explore commutative groups, isomorphisms, homomorphisms, cosets, and quotient groups. Learn the fundamental structure theorem and its applications in understanding group theory concepts.
- YouTube
- 32 minutes
- On-Demand
- Free Video
NPTEL-NOC IITM
Monomorphisms, Epimorphisms, and Isomorphisms

Explore monomorphisms, epimorphisms, and isomorphisms in category theory, understanding their definitions, properties, and relationships within mathematical structures.
- YouTube
- 34 minutes
- On-Demand
- Free Video
Fields Institute
Roe-Type Algebras and Their Isomorphisms

Explore Roe-type algebras and their isomorphisms in this advanced mathematics talk by Alessandro Vignati, delving into operator algebras and their connections with logic.
- YouTube
- 54 minutes
- On-Demand
- Free Video
Wrath of Math
Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

Explore isomorphic vector spaces and their properties, including examples and proofs. Learn how all n-dimensional spaces relate to R^n and understand key concepts in linear algebra.
- YouTube
- 17 minutes
- On-Demand
- Free Video
ACM SIGPLAN
Taylor Expansion and Game Semantics - Exploring Isomorphisms in Lambda Calculus

Explore the isomorphism between Taylor expansion of λ-terms and pointer concurrent games interpretation, extending previous results on resource terms and game semantics.
- YouTube
- 18 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Capturing Mathematical Equality - Constructivism and Canonical Isomorphisms

Explore the impact of rejecting constructivism in mathematics, examining the confusion between theorems and definitions and the overuse of "canonical isomorphism" in number theory.
- YouTube
- 35 minutes
- On-Demand
- Free Video
Institute for Advanced Study
A Complexity Lower Bound on Algebra Isomorphisms

Explore complexity lower bounds for algebra isomorphisms in quantum systems, focusing on unitary circuits and geometric constraints on two-dimensional qubit grids.
- YouTube
- 2 hours 10 minutes
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Group Theory

Master fundamental concepts of abstract algebra through binary operations, group structures, theorems, and practical problem-solving in permutations, homomorphisms, and finite abelian groups.
- Swayam
- 12 weeks
- On-Demand
- Free Online Course
Linear Algebra - Full College Course

Learn Linear Algebra in this 20-hour college course. This course is taught by Dr. Jim Hefferon, a professor of mathematics at St Michael's College.
- freeCodeCamp
- 12 hours
- On-Demand
- Free Video
Michael Penn
Abstract Algebra - The Basics of Rings

Explore fundamental ring theory concepts including types, properties, homomorphisms, ideals, and polynomial rings through comprehensive examples and proofs.
- YouTube
- 4 hours 36 minutes
- On-Demand
- Free Video
Wrath of Math
Abstract Algebra

Master group theory fundamentals through binary operations, subgroups, homomorphisms, and quotient groups with rigorous proofs and practical examples.
- YouTube
- 6 hours 12 minutes
- On-Demand
- Free Video
Insights into Mathematics
Linear Algebra With Polynomials - Wild Linear Algebra A

Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.
- YouTube
- 46 minutes
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- Free Video

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