Lectures related to Quadratic irrational number

Delves into powers and roots, emphasizing irrational equations and the disjunction of cases.

Explores transcendence degree in algebraic fields and classical analytic functions.

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Explores the precision of finite element models and higher order asymptotic estimates.

Covers the concepts of contraposition and contradiction in proofs.

Covers solving equations and inequalities with irrational parameters using step-by-step examples.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

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

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

Delves into mixing time changes in nilflows, emphasizing the delicate nature of mixing and its dependence on singularities.

Explores quadratic forms, symmetric bilinear forms, and their properties.

Covers the formulation of quadratic functions and optimality conditions for finding the global optimum.

Covers absolute value, density of rationals, and real line topology.

Covers the programming of a script to calculate the solutions of quadratic equations.

Explores quadrangular finite elements, node numbering, and application examples.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

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