Lectures related to Proofs by Induction: Principles and Examples

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Introduces recursively defined functions and demonstrates how to compute values and prove properties using mathematical induction.

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

Explores the Supremum Theorem, its properties, proofs, and exercises.

Covers the rigorous proof of differential equations, emphasizing accuracy and precision.

Covers proofs by mathematical induction and the number of subsets of a finite set.

Covers the concepts of mathematical and strong induction through an example.