An Introduction to Scientific, Symbolic, and Graphical Computation
A down-to-earth introduction to mathematical computation, this book examines a broad array of techniques in the area from scientific to symbolic to graphical. Although targeted to students in the pure and applied sciences, mathematics, and designed to be accessible to undergraduates at all levels, having a minimum of prerequisites (essentially single-variable calculus). It also contains a variety of thought-provoking exercises and the material covered in the book is supported by Internet accessible courseware.
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algorithm applications approach approximation arbitrary arc length B-spline basis functions behaviour blending functions Chapter circle coefficients computer graphics consider constraints convergence convolution curve segments defined definite integral denote depicts derivative discrete discussion endpoints equation error evaluation example Exercise Figure floating-point floating-point numbers formula Fourier series Fourier transform frequency domain Gaussian implementation intersection interval a,b iteration Lagrange interpolation Lagrange polynomial line segment linear interpolation low-pass filter Maple code mathematical matrix moving-average filter multiplication notation number of samples objects operations parameterisation parametric functions parametric representation piecewise polynomial pixel plot polynomial curve polynomial interpolation polynomial of degree problems quadratic quadrature raster real numbers reconstruction rectangles rendering represent result Riemann sums root sample points sampling rate sequence set of samples signal Simpson's rule sinc function solution space curve specific subinterval symbolic computation Taylor series techniques theorem trajectory trapezoid rule values vector write zero