From the reviews of the second edition:
"... The authors of this book have excelled by linking the title to two well-known mathematical packages, Maple and MATLAB. There are good reasons for this. Maple is supremely competent in symbolic mathematics and MATLAB in numerical and engineering calculations. MATLAB users can also gain access to Maple functions through an optional MATLAB symbolic mathematics toolbox, which is a version of Maple recast to suit MATLAB users.
The authors have been involved with mathematical software for many years and are well qualified to serve as guides in this difficult field. They have chosen a particularly wide range of well-defined problems, such as the three body problem, radar and heat flow, to illustrate the methods involved. They explain the theory adequately and give examples of Maple and MATLAB code. ...
Although some of the problems chosen may not be to everybody's taste, teachers of mathematical applications and modelling should have this book. Many people interested in mathematics as a hobby will aslo find it worthwile." Scientific Computing World
"... The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." Mathematics of Computation
The third edition of this book has been enlarged by six new chapters; some of the previous chapters have been substantially revised. The index has been considerably enlarged: there are now three parts, two of them contain all the commands of Maple and Matlab that are used in this book. All chapters have been adapted to the newest versions of Maple (Version 5 Release 4) and Matlab 5.
Author(s): Walter Gander, Jiří Hřebíček (auth.)
Publisher: Springer Berlin Heidelberg
Year: 1997
Language: English
Commentary: Chinese edition published by China Higher Education Press Beijing3rd exp. and rev. ed.,
Pages: XX, 412 pp. 161 figs., 12 tabs.
Tags: Numerical Analysis;Appl.Mathematics/Computational Methods of Engineering;Theoretical, Mathematical and Computational Physics;Calculus of Variations and Optimal Control;Optimization;Programming Languages, Compilers, Interpreters;Sys
Front Matter....Pages i-xvii
The Tractrix and Similar Curves....Pages 1-25
Trajectory of a Spinning Tennis Ball....Pages 27-37
The Illumination Problem....Pages 39-50
Orbits in the Planar Three-Body Problem....Pages 51-71
The Internal Field in Semiconductors....Pages 73-81
Some Least Squares Problems....Pages 83-101
The Generalized Billiard Problem....Pages 103-121
Mirror Curves....Pages 123-134
Smoothing Filters....Pages 135-152
The Radar Problem....Pages 153-163
Conformal Mapping of a Circle....Pages 165-172
The Spinning Top....Pages 173-182
The Calibration Problem....Pages 183-192
Heat Flow Problems....Pages 193-201
Modeling Penetration Phenomena....Pages 203-218
Heat Capacity of System of Bose Particles....Pages 219-225
Free Metal Compression....Pages 227-250
Gauss Quadrature....Pages 251-279
Symbolic Computation of Explicit Runge-Kutta Formulas....Pages 281-296
Transient Response of a Two-Phase Half-Wave Rectifier....Pages 297-308
Circuits in Power Electronics....Pages 309-320
Newton’s and Kepler’s laws....Pages 321-337
Least Squares Fit of Point Clouds....Pages 339-349
Modeling Social Processes....Pages 351-358
Contour Plots of Analytic Functions....Pages 359-372
Non Linear Least Squares: Finding the most accurate location of an aircraft....Pages 373-380
Computing Plane Sundials....Pages 381-396
Back Matter....Pages 397-411