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Insight through computing : a MATLAB introduction to computational science and engineering

Author: Charles F Van Loan; K -Y Daisy Fan; Society for Industrial and Applied Mathematics.
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2010.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This introduction to computer-based problem-solving using the MATLAB environment is highly recommended for students wishing to learn the concepts and develop the programming skills that are fundamental to computational science and engineering (CSE). Through a 'teaching by examples' approach, the authors pose strategically chosen problems to help first-time programmers learn these necessary concepts and skills. Each  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 2009030277
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charles F Van Loan; K -Y Daisy Fan; Society for Industrial and Applied Mathematics.
ISBN: 9780898717648 0898717647
OCLC Number: 694085666
Notes: Includes index.
Description: 1 electronic text (xviii, 434 pages : illustrations (some color)) : digital file
Contents: 1. From formula to program --
2. Limits and error --
3. Approximation with fractions --
4. The discrete versus the continuous --
5. Abstraction --
6. Randomness --
7. The second dimension --
8. Reordering --
9. Search --
10. Points, polygons and circles --
11. Text file processing --
12. The matrix : part II --
13. Acoustic file processing --
14. Divide and conquer --
15. Optimization --
Appendix A. Refined graphics --
Appendix B. Mathematical facts --
Appendix C. MATLAB, Java, and C --
Appendix D. Exit interview.
Other Titles: MATLAB introduction to computational science and engineering
Responsibility: Charles F. Van Loan, K.-Y. Daisy Fan.

Abstract:

This introduction to computer-based problem-solving using the MATLAB environment is highly recommended for students wishing to learn the concepts and develop the programming skills that are fundamental to computational science and engineering (CSE). Through a 'teaching by examples' approach, the authors pose strategically chosen problems to help first-time programmers learn these necessary concepts and skills. Each section formulates a problem and then introduces those new MATLAB language features that are necessary to solve it. This approach puts problem-solving and algorithmic thinking first and syntactical details second. Each solution is followed by a 'talking point' that concerns some related, larger issue associated with CSE. Collectively, the worked examples, talking points, and 300+ homework problems build intuition for the process of discretization and an appreciation for dimension, inexactitude, visualization, randomness, and complexity. This sets the stage for further coursework in CSE areas.

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