Introduction to Scientific Computing A Matrix-Vector Approach Using MATLAB

ISBN-10: 0139491570

ISBN-13: 9780139491573

Edition: 2nd 2000 (Revised)

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Description: For one-semester courses in Numerical Methods in computer science and engineering programs, and Numerical Analysis courses in mathematics programs. Unique in content and approach, this text covers all the topics that are usually covered in an introduction to scientific computingbut folds in graphics and matrix-vector manipulation in a way that gets students to appreciate the connection between continuous mathematics and computing.Matlab 5 is used throughout to encourage experimentation, and each chapter focuses on a different important theoremallowing students to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a hard problem that involves ill-conditioning, high dimension, etc.; 2) at least one theorem with both a rigorous proof and a proof by MATLAB experiment to bolster intuition; 3) at least one recursive algorithm; and 4) at least one connection to a real-world application. The text is brief and clear enough for introductory numerical analysis students to get their feet wet, yet comprehensive enough in its treatment of problems and applications for higher-level students to develop a deeper grasp of numerical tools.

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Book details

List price: $108.20
Edition: 2nd
Copyright year: 2000
Publisher: Prentice Hall PTR
Publication date: 7/7/1999
Binding: Paperback
Pages: 367
Size: 7.75" wide x 9.50" long x 0.75" tall
Weight: 1.342
Language: English

Power Tools of the Trade
Polynomial Interpolation
Piecewise Polynomial Interpolation
Numerical Integration
Matrix Computations
Linear Systems
The QR and Cholesky Factorizations
Nonlinear Equations and Optimization
The Initial Value Problem
Bibliography
Index
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