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Abstract algebra
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Related lectures (31)
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Relative Positions in Space
Covers the precise description of the relative positioning of objects in space.
Polynomials: Definition and Operations
Covers polynomials, their operations, division theorem, and provides illustrative examples.
Rings and Ideals
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Higher Homotopy Groups: Generalization and Structure
Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.
Topology: Separation Criteria and Quotient Spaces
Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.
Mathematical structures: selected topics
Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.
Digital Circuits: Basics
Covers digital signal processing, binary and Boolean logic, and practical examples of digital circuits.
Algebraic Structures: Fields and Vectorial Spaces
Covers prime numbers, vectors, 3D geometry, crystallography, and algebraic structures in materials science.
Cardinality and Group Theory
Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.
Polynomials and Endomorphisms
Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.