Solving Problems in Scientific Computing Using Maple and MATLAB

".. 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)

Contents

• 1. The Tractrix and Similar Curves.
  
• 2. Trajectory of a Spinning Tennis Ball.
  
• 3. The Illumination Problem.
  
• 4. Orbits in the Planar Three-Body Problem.
  
• 5. The Internal Field in Semiconductors.
  
• 6. Some Least Squares Problems.
  
• 7. The Generalized Billiard Problem.
  
• 8. Mirror Curves.
  
• 9. Smoothing Filters.
  
• 10. The Radar Problem.
  
• 11. Conformal Mapping of a Circle.
  
• 12. The Spinning Top.
  
• 13. The Calibration Problem.
  
• 14. Heat Flow Problems.
  
• 15. Modeling Penetration Phenomena.
  
• 16. Heat Capacity of System of Bose Particles.
  
• 17. Free Metal Compression.
  
• 18. Gauss Quadrature.
  
• 19. Symbolic Computation of Explicit Runge-Kutta Formulas.
  
• 20. Transient Response of a Two-Phase Half-Wave Rectifier.
  
• 21. Circuits in Power Electronics.
  
• 22. Newton's and Kepler's Laws.
  
• 23. Least Squares Fit of Point Clouds.
  
• 24. Modeling Social Processes.
  
• 25. Contour Plots of Analytic Functions.
  
• 26. Non-Linear Least Squares: Finding the Most Accurate Location of an Aircraft.
  
• 27. Computing Plane Sundials.