This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
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 ...
Table 2.3 '1 Prt 0 0.7853981635 1 0.7071067810 2 0.7602445972 3 0.7246674808 4 07487198858 5 07325608446 6 0.7434642113 7 0.7361282565 Table 2.4 — Newton's Method ” PH 0 0.7853981635 1 0.7395361337 2 0.7390851781 3 0.7390851332 4 ...
On the occasion of this new edition, the text was enlarged by several new sections.
[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.
It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o
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.