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Numerical Methods - Design, Analysis, and Computer Implementation of Algorithms (Hardcover, New)
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Numerical Methods - Design, Analysis, and Computer Implementation of Algorithms (Hardcover, New)
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Numerical Methods provides a clear and concise exploration of
standard numerical analysis topics, as well as nontraditional ones,
including mathematical modeling, Monte Carlo methods, Markov
chains, and fractals. Filled with appealing examples that will
motivate students, the textbook considers modern application areas,
such as information retrieval and animation, and classical topics
from physics and engineering. Exercises use MATLAB and promote
understanding of computational results. The book gives instructors
the flexibility to emphasize different aspects--design, analysis,
or computer implementation--of numerical algorithms, depending on
the background and interests of students. Designed for
upper-division undergraduates in mathematics or computer science
classes, the textbook assumes that students have prior knowledge of
linear algebra and calculus, although these topics are reviewed in
the text. Short discussions of the history of numerical methods are
interspersed throughout the chapters. The book also includes
polynomial interpolation at Chebyshev points, use of the MATLAB
package Chebfun, and a section on the fast Fourier transform.
Supplementary materials are available online. * Clear and concise
exposition of standard numerical analysis topics * Explores
nontraditional topics, such as mathematical modeling and Monte
Carlo methods * Covers modern applications, including information
retrieval and animation, and classical applications from physics
and engineering * Promotes understanding of computational results
through MATLAB exercises * Provides flexibility so instructors can
emphasize mathematical or applied/computational aspects of
numerical methods or a combination * Includes recent results on
polynomial interpolation at Chebyshev points and use of the MATLAB
package Chebfun * Short discussions of the history of numerical
methods interspersed throughout * Supplementary materials available
online
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