Practical numerical analysis
著者
書誌事項
Practical numerical analysis
Wiley, c1995
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
The author here provides a thorough and comprehensive introduction to the major topics of numerical analysis, ie. the solution of linear and non-linear equations, eigenvalue problems, approximation theory, quadrature, the numerical solution of ordinary and partial differential equations and optimization. The object of each chapter is to give a sound graded intoduction to the topic, followed by an up-to-date coverage of the more advanced areas. The emphasis is on the practical application of the work but the main theoretical basis of each topic is included. Each chapter includes a wealth of exercises with selected hints and answers. These provide a practice in the relevant techniques and consolidate the reader's understanding. The clear exposition and writing style ensure that the book should be valuable not only to undergraduates pursuing numerical analysis, but also to practitioners who have specific numerical problems to solve.
目次
- Introduction to Numerical Processes and Non-Linear Equations
- Differences, Interpolation and Differentiation
- Solution of Algebraic Equations
- Algebraic Eigenvalue Problem
- Approximation Theory
- Quadrature
- Ordinary Differential Equations
- Integral Equations
- Partial Differential Equations
- Optimization Methods
- Appendices
- References
- Indexes.
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