Group Theory: Basics

Related lectures (29)

Page 3 of 3

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

Covers absolute value, subtraction in integers, and comparisons between integers.

Explains the importance of parentheses in simplifying mathematical operations and notations.