Lectures related to Quotients of Groups by Relations of Equivalence

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Number Theory: Operations and Equivalence

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.

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Group Theory Basics

Introduces the basics of group theory, including operations, properties, and Lie groups.

Group Theory: Basics

Covers the basics of group theory, including definitions, examples, and isometries.

Modular Arithmetic: Foundations and Applications

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Group Theory: Definition and Examples

Covers the definition of a group, properties of symmetries, and group operations.