Lectures related to Cube root | EPFL Graph Search

Attack on RSA using LLL

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

Geometric Constructions: Duplication of the Cube

Explores the historical significance and geometric methods for duplicating the cube.

Diagonalization of Linear Transformations

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Properties of the Integral

Explores the properties of the integral, including summation properties and theorems on continuous functions.

Solving the Quintic: Dominant Balance

Explores dominant balance analysis in solving the quintic polynomial, with a focus on non-dimensionalization and series expansions.

Complex Numbers: Representations and Rotations

Explores the representation and rotation of complex numbers in the complex plane.

Factorisation: Real Coefficients Examples

Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.

Roots of Real Numbers

Explores the properties and applications of roots of real numbers through practical examples.

Complex Eigenvalues Appendix

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Polynomial Roots: Finding Solutions and Division

Explains how to find solutions for polynomial equations and perform polynomial division.

Complex Exponential: De Moivre's Formula

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Complex Numbers: Exponential Formulas

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Complex Numbers: Sequences, Series in C, exp, sin, cos

Covers complex numbers, sequences, series, and exponential, sine, and cosine functions in the complex plane.

Polynomial Equations: Solving Methods

Covers various methods for solving polynomial equations through examples.

Inverse Laplace Transform: Examples

Covers the inverse Laplace transform with examples and methods for solving complex roots.

Newton Method: Convergence Analysis

Explores the Newton method for root finding and its convergence analysis, including the modified Newton method.

Second Degree Trinomial: Roots and Formulas

Covers second degree trinomials, discriminants, Viète's formulas, and root calculations.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Hensel's Lemma Application

Discusses the application of Hensel's lemma in determining nth roots and elements that are nth powers.