Using Cubase vst/32 with DSP Factory

   Albert

Perplexed about the Audience for This Book

I am perplexed as to whom the book is directed. Who is the audience for this book? It is not clear to me. Personally, if I wanted a book that is addressing mathematicians, I am not sure that an intuitive hyperreals approach is appropriate. I personally have nothing against using non-standard analysis to introduce the calculus as it follows the path that Newton, Euler and other early mathematicians followed before Cauchy introduced the approach using limits but for aspiring mathematicians, you have to be careful about intuition. It can lead a budding mathematician astray (see James Pierpont's two volume work on the Theory of Functions of Real Variables). Hence, it should be a rigorous approach, If the book is meant for those whose interests are in applications, the pace is too fast and there is a lot of "hand-waving" (inter alia, change of variables in integration coming out of nowhere). In that case, there should a lot more examples of building Riemann sums wrt physics problems. In today's world, people applying the calculus need not worry about finding appropriate ways of integrating functions, the easiest approach would be to use a computer algebra system like maxima and if unsure of the result, differentiate the function obtained to ascertain that it is correct.
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