In this chapter, we discuss the MuPAD language, which underlies MATLAB's Symbolic Math Toolbox. We believe that the most practical uses of MuPAD are to be found in calculus, linear algebra, number theory, combinatorics, and differential equations. We shall show how to use MuPAD directly to deal with issues from some of those topics. We shall comment more fully below on why you might want to do so. For additional basic information on MuPAD (beyond what you will find in this book), we recommend the MuPAD Tutorial, which you can find at the mathworks.com web site. (MathWorks is the software company that produces MATLAB and MuPAD.)
As we mentioned at the end of Chapter 4, all of the commands in the Symbolic Math Toolbox rely on a software package called MuPAD. Most of the time you may not need to know this, but for sophisticated symbolic calculations it helps to work directly in MuPAD, without going through MATLAB as an intermediary. A rather dramatic example of this is described in the authors' book Differential Equations with MATLAB, 3rd ed., Wiley, New York, 2012, where in the topic of series solutions of ordinary differential equations, it is far clumsier to work through MATLAB than it is to invoke MuPAD symbolic commands directly.
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