Approach your problem from the right It isn't that they can't see end
and begin with the answers. the solution. Then one day, perhaps you will
find It is that they can't see the the final question. problem. G.K.
Chesterton. The Scandal The Hermit Clad in Crane Feathers in of Father
Brown The Point of R. van Gulik's The Chinese Maze Murders. a Pin.
Growing specialization and diversification have brought a host of
monographs and textbooks on increasingly specialized topics. However,
the "tree" of knowledge of mathematics and related fields does not grow
only by putting forth new brancheq. It also happens, quite often in
fact, that branches which were thought to be completely disparate are
suddenly seen to be related. Further, the kind and level of
sophistication of mathematics applied in various sciences has changed
drastically in recent years: measure theory is used (non-trivially) in
regional and theoretical economics, algebraic geometry interacts with
physics; the Minkowsky lemma, coding theory and the structure of water
meet one another in packing and covering theory; quantum fields, crystal
defects and mathematical programming profit from homotopy theory; Lie
algebras are relevant to filtering; and prediction and electrical
engineering can use Stein spaces. And in addition to this there are such
new emerging subdisci- fI plines as "experimental mathematics", "CFD,
"completely integrable systems", "chaos, synergetics and large-scale
order", which are almost impossible to fit into the existing
classification schemes.
