Lectures related to Polynomials with Real Coefficients

Explores Julia Sets, polynomial roots, Newton's method, and critical points in complex functions.

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Applications of Residue Theorem in Complex Analysis

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Interlacing Polynomials

Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.

Attack on RSA using LLL

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.