Fourier Series Articles

Page 1 of 1 (4 articles)

11/26/2020 • EN

Generalised Fourier Series, Part 3: Comparing Series Expansions

Compares the accuracy and behavior of Fourier, Legendre, and Taylor series expansions when approximating functions with a limited number of terms.

Fourier Series Legendre Polynomials Orthogonal Polynomials Series Expansion Taylor Series

Jake Lishman

11/25/2020 • EN

Generalised Fourier Series, Part 2: Making Series Expansions

Explains the mathematical derivation of generalized Fourier series expansions using orthogonal function bases and inner products.

Fourier Series Functional Analysis linear algebra Orthogonal Basis Series Expansion

Jake Lishman

11/25/2020 • EN

Generalised Fourier Series, Part 1: Linear Algebra Basics

Introduces linear algebra concepts like vector spaces and orthogonality as a foundation for understanding generalized Fourier series expansions.

Fourier Series linear algebra mathematics Orthogonality Vector Spaces

Jake Lishman

11/25/2020 • EN

Generalised Fourier Series

Explores generalized Fourier series expansions using orthogonal function bases, with examples from Legendre polynomials and practical Jupyter notebook code.

Differential Equations Fourier Series Legendre Polynomials mathematics Physics

Jake Lishman

Fourier Series Articles

Generalised Fourier Series, Part 3: Comparing Series Expansions

Generalised Fourier Series, Part 2: Making Series Expansions

Generalised Fourier Series, Part 1: Linear Algebra Basics

Generalised Fourier Series

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