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1.1 Routines available in GSL

The library covers a wide range of topics in numerical computing. Routines are available for the following areas,

Complex Numbers Roots of Polynomials
Special Functions Vectors and Matrices
Permutations Combinations
Sorting BLAS Support
Linear Algebra CBLAS Library
Fast Fourier Transforms Eigensystems
Random Numbers Quadrature
Random Distributions Quasi-Random Sequences
Histograms Statistics
Monte Carlo Integration N-Tuples
Differential Equations Simulated Annealing
Numerical Differentiation Interpolation
Series Acceleration Chebyshev Approximations
Root-Finding Discrete Hankel Transforms
Least-Squares Fitting Minimization
IEEE Floating-Point Physical Constants
Wavelets

The use of these routines is described in this manual. Each chapter provides detailed definitions of the functions, followed by example programs and references to the articles on which the algorithms are based.

Where possible the routines have been based on reliable public-domain packages such as FFTPACK and QUADPACK, which the developers of GSL have reimplemented in C with modern coding conventions.