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Numerical Analysis with Algorithms and Programming (Hardcover)
Loot Price: R3,668
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Numerical Analysis with Algorithms and Programming (Hardcover)
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Numerical Analysis with Algorithms and Programming is the first
comprehensive textbook to provide detailed coverage of numerical
methods, their algorithms, and corresponding computer programs. It
presents many techniques for the efficient numerical solution of
problems in science and engineering. Along with numerous worked-out
examples, end-of-chapter exercises, and Mathematica (R) programs,
the book includes the standard algorithms for numerical
computation: Root finding for nonlinear equations Interpolation and
approximation of functions by simpler computational building
blocks, such as polynomials and splines The solution of systems of
linear equations and triangularization Approximation of functions
and least square approximation Numerical differentiation and
divided differences Numerical quadrature and integration Numerical
solutions of ordinary differential equations (ODEs) and boundary
value problems Numerical solution of partial differential equations
(PDEs) The text develops students' understanding of the
construction of numerical algorithms and the applicability of the
methods. By thoroughly studying the algorithms, students will
discover how various methods provide accuracy, efficiency,
scalability, and stability for large-scale systems.
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