Growing specialization and diversification have brought a hor’st 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 branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are sudden­ ly seen to be related. Further, the kind and level of sophistication of mathematics
applied invarious 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 subdisciplines as completely integrable systems , chaos, synergetics and large-scale order , which are almost impossible to fit
into the existing classification schemes. They draw upon widely different sections of mathematics. This programme, Mathematics and Its Applications, is devoted to such (new) interrelations as exempli gratia: – a central
concept which plays an important role in several different mathematical andjor scientific specialized areas; – new applications of the results and ideas from one area of scien­ tific endeavor into another; – influences which
the results, problems and concepts of one field of enquiry have and have had on the development of another.