Modern computing tools like Maple (symbolic computation) and Matlab (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for the students. This situation has changed now, and the students can be taught real-life problems that they can actually solve using the new powerful software. The reader will improve his knowledge through learning by examples and he will learn how both systems, MATLAB and MAPLE, may be used to solve problems interactively in an elegant way. Readers will learn to solve similar problems by understanding and applying the techniques presented in the book. All programs used in the book are available to the reader in electronic form.
Author(s): Walter Gander, Jiří Hřebíček (auth.)
Publisher: Springer Berlin Heidelberg
Year: 1993
Language: English
Pages: XIII, 268 pp. 97 figs., 7 tabs.
Tags: Numerical Analysis;Algebra;Programming Languages, Compilers, Interpreters;Algorithms;Statistical Physics, Dynamical Systems and Complexity;Systems Theory, Control
Front Matter....Pages i-xiii
The Tractrix and Similar Curves....Pages 1-14
Trajectory of a Spinning Tennis Ball....Pages 15-23
The Illumination Problem....Pages 25-35
Orbits in the Planar Three-Body Problem....Pages 37-57
The Internal Field in Semiconductors....Pages 59-67
Some Least Squares Problems....Pages 69-87
The Generalized Billiard Problem....Pages 89-107
Mirror Curves....Pages 109-120
Smoothing Filters....Pages 121-139
The Radar Problem....Pages 141-151
Conformal Mapping of a Circle....Pages 153-159
The Spinning Top....Pages 161-171
The Calibration Problem....Pages 173-182
Heat Flow Problems....Pages 183-191
Penetration of a Long Rod into a Semi-infinite Target....Pages 193-202
Heat Capacity of System of Bose Particles....Pages 203-210
Compression of a Metal Disk....Pages 211-219
Gauss Quadrature....Pages 221-249
Symbolic Computation of Explicit Runge-Kutta Formulas....Pages 251-266
Back Matter....Pages 267-268
