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Lecture
Lagrange Interpolation: Case 2
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Interpolation de Lagrange
Covers Lagrange interpolation, focusing on constructing polynomials that pass through given points.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Approximation of Data
Covers the least squares method for approximating data and handling errors.
Numerical Integration: Lagrange Interpolation, Simpson Rules
Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.
Lagrange Interpolation: Numerical Integration Techniques
Covers Lagrange interpolation and its application in numerical integration techniques, focusing on both non-composite and composite methods of quadrature.
Finite Dimensional Spaces
Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Numerical Integration: Lagrange Interpolation Methods
Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.
Interpolation de Lagrange: General Case
Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.
Attack on RSA using LLL
Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.