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Scientific Computing - Vol. I - Linear and Nonlinear Equations (Hardcover, 1st ed. 2017)
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Scientific Computing - Vol. I - Linear and Nonlinear Equations (Hardcover, 1st ed. 2017)
Series: Texts in Computational Science and Engineering, 18
Expected to ship within 12 - 17 working days
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This is the first of three volumes providing a comprehensive
presentation of the fundamentals of scientific computing. This
volume discusses basic principles of computation, and fundamental
numerical algorithms that will serve as basic tools for the
subsequent two volumes. This book and its companions show how to
determine the quality of computational results, and how to measure
the relative efficiency of competing methods. Readers learn how to
determine the maximum attainable accuracy of algorithms, and how to
select the best method for computing problems. This book also
discusses programming in several languages, including C++, Fortran
and MATLAB. There are 80 examples, 324 exercises, 77 algorithms, 35
interactive JavaScript programs, 391 references to software
programs and 4 case studies. Topics are introduced with goals,
literature references and links to public software. There are
descriptions of the current algorithms in LAPACK, GSLIB and MATLAB.
This book could be used for an introductory course in numerical
methods, for either upper level undergraduates or first year
graduate students. Parts of the text could be used for specialized
courses, such as principles of computer languages or numerical
linear algebra.
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