Series expansion

Related lectures (31)

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Covers the Taylor development theorem, convexity, and computation rules with Taylor.

Explores Taylor expansions of first order in optimization on manifolds.

Covers exercises related to Laplace's method and complex analysis.

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Explores the connection between Riemannian and Euclidean gradients and Hessians at critical points.

Introduces definite integrals, Taylor expansions, partitions, and area calculations under curves.

Covers the concept of developing limited functions and includes physical examples.

Covers fixed-point methods and high-order techniques for solving nonlinear equations.

Explores optimizing energy use in buildings through solar panels and solving nonlinear equations efficiently.

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.