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:: Purpose and Summary |
Equal emphasis on theory, symbolic computation and numerical algorithms
Scientific Computing is the study of how to use computers effectively
to solve problems that arise from the mathematical modeling of
phenomena in science and engineering. It is based on mathematics,
numerical and symbolic/algebraic computations and visualization. This
book serves as an introduction to both the theory and practice of
scientific computing, with each chapter presenting the basic
algorithms that serve as the workhorses of many scientific codes: we
explain both the theory behind these algorithms and how they must be
implemented in order to work reliably in finite-precision
arithmetic. The book includes many programs written in Matlab and
Maple - Maple is often used to derive numerical algorithms, wheras
Matlab is used to implement them. The theory is developed in such a
way that students can learn by themselves as they work through the
text. Each chapter contains numerous examples and problems to help
readers understand the material 'hands-on'.
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