Guide to numerical analysis
著者
書誌事項
Guide to numerical analysis
Macmillan Education, 1989
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内容説明・目次
内容説明
This guide presents an introduction to the many basic problems of scientific computing and the wide variety of methods used for their solutions. It is suitable for students on first year maths or computation degree courses. It provides the reader with the basic principles of numerical analysis and tries to avoid using complicated techniques in analysis and algebraic manipulation except where they are essential to a rigorous approach. By presenting BASIC programs to solve selected examples the book also provides a useful grounding for more practical work using computers.
目次
- Number representations and errors
- iterative solution of equations - convergence of sequences - Newton's method
- series approximation of functions - convergence of series
- interpolation and approximate evaluation of functions - Lagrange interpolation, CORDIC algorithms
- numerical calculus
- differential equations - Runge-Kutta methods
- linear equations - Gauss elimination.
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