Download E-books Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms PDF

By Anne Greenbaum

Numerical Methods presents a transparent and concise exploration of ordinary numerical research issues, in addition to nontraditional ones, together with mathematical modeling, Monte Carlo equipment, Markov chains, and fractals. jam-packed with attractive examples that might inspire scholars, the textbook considers smooth software parts, comparable to info retrieval and animation, and classical themes from physics and engineering. routines use MATLAB and advertise figuring out of computational effects.

The booklet offers teachers the pliability to stress diversified aspects--design, research, or computing device implementation--of numerical algorithms, reckoning on the history and pursuits of scholars. Designed for upper-division undergraduates in arithmetic or laptop technology periods, the textbook assumes that scholars have past wisdom of linear algebra and calculus, even though those subject matters are reviewed within the textual content. brief discussions of the heritage of numerical equipment are interspersed through the chapters. The booklet additionally comprises polynomial interpolation at Chebyshev issues, use of the MATLAB package deal Chebfun, and a piece at the speedy Fourier remodel. Supplementary fabrics can be found online.

  • Clear and concise exposition of normal numerical research issues
  • Explores nontraditional subject matters, corresponding to mathematical modeling and Monte Carlo tools
  • Covers glossy purposes, together with details retrieval and animation, and classical purposes from physics and engineering
  • Promotes knowing of computational effects via MATLAB routines
  • Provides flexibility so teachers can emphasize mathematical or applied/computational elements of numerical equipment or a mix
  • Includes fresh effects on polynomial interpolation at Chebyshev issues and use of the MATLAB package deal Chebfun
  • Short discussions of the background of numerical tools interspersed all through
  • Supplementary fabrics to be had online

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