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Numerical Methods: Design, Analysis, and Computer

Implementation of Algorithms

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Numerical Methods: Design, Analysis, and Computer

Implementation of Algorithms

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Hardcover: 464 pages Publisher: Princeton University Press; 3.2.2012 edition (April 1, 2012) Language:

English ISBN-10: 0691151229 ISBN-13: 978-0691151229 Product Dimensions: 7.2 x 1.2 x 10 inches

Shipping Weight: 2.5 pounds (View shipping rates and policies)

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Book Description

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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