From the reviews of previous editions: ".. An excellent reference on undergraduate mathematical computing." American Mathematical Monthly "... manuals for such systems (Maple and MATLAB) tend to use trivial examples, making it difficult for new users of such systems to quickly apply their power to real problems. The authors have written a good book to address this need. ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." Computing Reviews ".. 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 For this fourth edition four new chapters have been added. Some of the chapters of the previous editions were revised using new possibilities offered by Maple and Matlab. In addition, some important and interesting web pages related to Maple and Matlab have been added in an appendix. Moreover, the editors have created a web page for the book (www.SolvingProblems.inf.ethz.ch), where all Maple and Matlab programs will be available
CONTENT
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. Newtonโs and Keplerโs 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 -- 28. Agriculture Kinematics -- 29. The Catenary Curve -- 30. Least Squares Fit with Piecewise Functions -- 31. Portfolio Problems โ Solved Online -- Appendix A. Shared knowledge of Maple and Matlab -- A.1 Introduction -- A.2 Application Centers -- A.3 Conclusions
SUBJECT
Computer science
Software engineering
Programming languages (Electronic computers)
Numerical analysis
Calculus of variations
Physics
Applied mathematics
Engineering mathematics
Computer Science
Software Engineering/Programming and Operating Systems
Numerical Analysis
Appl.Mathematics/Computational Methods of Engineering
Theoretical
Mathematical and Computational Physics
Calculus of Variations and Optimal Control; Optimization