# Snippets of Pure Applicable Mathematics   or Snippets of Purified Applied Mathematics (SPAM)

• "If Nature can solve its Equations, so can We" (D.Brian Spalding)
Maybe it's time now for a new discipline in mathematical thinking, which is kind of distinct from Pure Mathematics as welll as Applied Mathematics. I find that Pure Mathematics has become too abstract, too general and too void of applicability. But I also find that "real" Applied Mathematics has become too much of a hand waving argument. I'm affraid that Applied has simply thrown away the child with the bath-water. This leads me to the prediction that its success will be declining in the future.
The new discipline preferrably shall be called 'Pure Applicable Mathematics'. ('Purified Applied Mathematics' would also be an good calling sequence.) Snippets of Pure Applicable Mathematics (called SPAM ;-) are characterized by the following properties:
• All mathematical entities shall have their origin in the Real World. We are definitely not interested in entities which will turn out to be just a brain wave of some mathematical genious, and which cannot possibly have a counterpart in the physical reality around us. Thus Mathematics should be applicable. Read my lips: applicable. Applicable is not the same as Applied.
• On the other hand, Snippets of Pure Applicable Mathematics shall exhibit a sufficient level of abstraction. Nobody could have foreseen the enormous practical consequences of a formula like
eix = cos(x) + i.sin(x)
Remember that complex numbers were just a curiosity at that time. They were not Applied. But they have been Applicable ever since they were invented or discovered.
• Let's not give up our rights of being born First, for a mess of pottage! Example. Mr. Lodewijk has said that pressure drops in a helically coiled evaporator can be calculated within 50 percent accuracy. Now it's up to you to prove it. Because otherwise we must do costly experiments. Don't!
• Absolute rigour is a phantom. How bout the computerized proof of the Jordan Curve Theorem? How about the Andrew Wiles' courtroom style proof of Fermat's Last Theorem? Who is going to check and debug all this?
• Attention shall be paid to issues, which were touched by some researchers, but have been worked out insufficiently: because of their supposedly low impact in an Industrial environment. It is emphasized that such issues were discarded only because of the rat-race for cheap "results", which is declared here to be irreconcilable with the spirit of Pure Applicable Mathematics.
• Especially with "demanding applications", details which are interesting from a pure theoretical point of view (at first sight) tend to be drowned. Have we forgotten that theoretical results very often have the potential to become important in practice? Do not overlook any such "insignificant" details, because any chain is as weak as its weakest part. And the hand of God is in tiny details, Not in Generality ;-)
Having said all this, let's stop talking. Just DoIt !