A Simple Introduction to Numerical Analysis: Volume 2: Interpolation and Approximation

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CRC Press, Jan 1, 1989 - Mathematics - 172 pages
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Approximation techniques are widely used in mathematics and applied physics, as exact solutions are frequently impossible to obtain. A Simple Introduction to Numerical Analysis, Volume 2: Interpolation and Approximation extends the first volume to consider problems in interpolation and approximation. Topics covered include the construction of interpolating functions, the determination of polynomial and rational function approximations, numerical quadrature, and the solution of boundary value problems in ordinary differential equations. As with the previous volume, the text is integrated with a software package that allows the reader to work through numerous examples. It is also possible to use the software to consider problems that are beyond the scope of the text. The authors' expertise in combining text and software has resulted in a very readable work.
 

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Contents

Interpolation
9
The Approximation of Functions 17
47
Least Squares Approximation
100
Integration
114
Boundary Value Problems
144
Appendix A Mathematical Background
163
Index
171
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Page 174 - This series of computer illustrated texts covers mathematics, science and engineering courses at advanced secondary school, college and university levels. A computer illustrated text is a textbook with integrated software. In a CIT the normal flow of explanation using conventional printed text is reinforced by computer software which can illustrate concepts both literally through graphics and figuratively by example. Computer graphics are very good at conveying a general qualitative understanding...

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