Lectures related to Strong Induction: Proof Method and Application

Explores worst-case complexity, mathematical induction, and algorithms like binary search and insertion sort.

Explores Newtonian potential in bounded domains, discussing its conditions and properties.

Covers examples of direct and indirect proofs in mathematics.

Explores Lagrange multipliers for finding extrema under constraints and various proof methods.

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

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.

Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.