Numerical analysis : mathematics of scientific computing
著者
書誌事項
Numerical analysis : mathematics of scientific computing
（The Sally series, . Pure and applied undergraduate texts ; 2）
American Mathematical Society, c2002
3rd ed
大学図書館所蔵 件 / 全18件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Originally published: 3rd ed. Pacific Grove, CA : Brooks/Cole, c2002"--LC CIP data
Bibliography: p. 745-769
Includes index
内容説明・目次
内容説明
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.
目次
Preface
Numerical analysis: What is it?
1. Mathematical preliminaries
2. Computer arithmetic
3. Solution of nonlinear equations
4. Solving systems of linear equations
5. Selected topics in numerical linear algebra
6. Approximating functions
7. Numerical differentiation and integration
8. Numerical solution of ordinary differential equations
9. Numerical solution of partial differential equations
10. Linear programming and related topics
11. Optimization
Appendix A. An Overview of mathematical software
Bibliography
Index
「Nielsen BookData」 より
