Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB (2nd Edition)

Van Loan, Charles F.

ISBN 10: 0139491570 / ISBN 13: 9780139491573

Published by Pearson, 1999

About this Item

Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc.

Seller Inventory # 00090577677

Bibliographic Details

• Title: Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB (2nd Edition)
• Publisher: Pearson
• Publication Date: 1999
• Language: English
• ISBN 10: 0139491570
• ISBN 13: 9780139491573
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: Good

About this title

Synopsis

Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers 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 theorem--allowing readers 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 book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing. 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. For engineers and mathematicians.

About the Author

Charles F. Van Loan has been at Cornell University since 1975, where he is a Professor of Computer Science and the Joseph C. Ford Professor of Engineering. He is a SIAM Fellow and the author of Matrix Computations (with G. H. Golub; Johns Hopkins, 1996), Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB (Prentice Hall, 1999), Computational Frameworks for the Fast Fourier Transform (SIAM, 1992), Handbook for Matrix Computations (with T. F. Coleman; SIAM, 1988), and Introduction to Computational Science and Mathematics (James and Bartlett, 1996).