Concept

Euler numbers

Related lectures (14)

Explores the buckling phenomenon in straight beams due to material breakage or buckling stress being exceeded.

Explores complex numbers, including modulus, conjugation, and Euler formula.

Covers Euler and Moivre formulas, addition formulas, properties of exponentials, and generalizing sine and cosine definitions to complex numbers.

Covers the Euler and Moivre formulas for complex numbers analysis.

Explains the Euler method and higher-order Runge-Kutta schemes for solving differential equations.

Covers the binomial formula, Euler number, and infinity, including induction and convergence of sequences.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.

Introduces complex numbers, their representations, formulas, and algebraic equations.

Covers the theory of digital signal processing, including sampling, transformation methods, digitization, and PID controllers.

Explores Newton's laws, kinetic energy, and restitution coefficient in collisions, including conservation laws and attached objects.

Explores Fourier series convergence and coefficient calculations through examples and derivations.

Explores extrema under constraints using Lagrange multipliers for optimization problems.

Covers critical buckling length, palm tree stability, and guyed palm tree stability.