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Project.toml

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name = "ApproxFun"
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uuid = "28f2ccd6-bb30-5033-b560-165f7b14dc2f"
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version = "0.11.9"
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version = "0.11.10"
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[deps]
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AbstractFFTs = "621f4979-c628-5d54-868e-fcf4e3e8185c"
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ApproxFunOrthogonalPolynomials = "0.2.3, 0.3"
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ApproxFunSingularities = "0.1.3"
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Calculus = "0.5"
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DomainSets = "0.1"
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DomainSets = "0.1, 0.2"
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DualNumbers = "0.6.2"
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FFTW = "0.3, 1"
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FastTransforms = "0.6, 0.8"
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RecipesBase = "0.7"
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RecipesBase = "0.7, 0.8, 1.0"
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Reexport = "0.2"
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julia = "1"
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docs/src/index.md

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A basic approach of computational mathematics that ApproxFun exploits is expansion
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in a basis
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$$
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f(x) \approx \sum_{k=1}^n c_k \psi_k(x)
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$$
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$f(x) \approx \sum_{k=1}^n c_k \psi_k(x)$
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Some traditional examples of bases $\psi_1(x),\psi_2(x),\ldots$ are
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1. Taylor series: $1,z,z^2,\ldots$
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2. Fourier series (for periodic functions on `0..2π`): $1,\sin x, \cos x, \sin 2 x, \ldots$

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