Asymptotic expansion

Formal sciences
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Related lectures (32)

Gamma Function and Stirling's Approximation: Mathematical Methods

Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.

Developing Cosine Composition

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

Introduction to Definite Integrals

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

Taylor's approximation: Analysis & Applications

Covers Taylor's approximation theorem, differentiability, error control, and function expansions.

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Functions of Class Cn: Theorem 2

Focuses on Theorem 2 for functions of class Cn and their Taylor expansion around a.

Energy Efficiency in Buildings

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

Nonlinear Equations: Fixed-Point Methods, High-Order

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

Linear Recurrence Relations

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

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Stirling's Formula and Functional Equation for Zeta

Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.

Foam Inducing Nonlinear Damping

Explores foam inducing nonlinear damping in oscillators, emphasizing the exacerbation of nonlinear effects by foam.

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