This well-respected text introduces the theory and application of modern numerical approximation techniques to students taking a one- or two-semester course in numerical analysis. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop students' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. The first book of its kind when crafted more than 30 years ago to serve a diverse undergraduate audience, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many ...
On the occasion of this new edition, the text was enlarged by several new sections.
Stroud, A. H., and D. Secrest. 1966. Gaussian Quadrature Formulas. ... Todd, J. 1961. Computational problems concerning the Hilbert matrix. JR-NBS 65, 19–22. Todd, M. J. 1982. An introduction to piecewise linear homotopy 766 ...
[63] Langville, A. and C. Meyer (2004). Deeper inside PageRank. Internet Mathematics 1(3), 335–380. [64] Langville, A. and C. Meyer (2006). Google's PageRank and Beyond: The Science of Search Engine Rankings. Princeton University Press.
For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language ...
Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, ...
The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an
Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses.
This text is designed for undergraduate students of all branches of engineering. NEW TO THIS EDITION : Includes additional modified illustrative examples and problems in every chapter. Provides answers to all chapter-end exercises.
This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs.