Interpolation and Polynomial Approximation Maclaurin and Taylor Series Lagrange Polynomial Interpolation and Approximation Newton Interpolation Polynomial Hermite Polynomial Interpolation Cubic Splines B-Splines B�zier Curves Chebyshev Approximation Polynomial Pade Approximation Rational Approximation Aitken's and Neville's Interpolation Legendre Polynomials The Tangent Parabola Catenary