Gerhard Preu – författare

Band III der Hausdorff-Edition enthält Hausdorffs Band „Mengenlehre", seine veröffentlichten Arbeiten zur deskriptiven Mengenlehre und Topologie sowie zahlreiche einschlägige Studien aus dem Nachlaß. Sein Buch „Mengenlehre" erlangte besonders dadurch historische Bedeutung, als darin erstmals eine monographische Darstellung des damals aktuellen Standes der deskriptiven Mengenlehre gegeben wurde. Es ist hier von Spezialisten dieses Gebietes sorgfältig kommentiert worden. Auch die veröffentlichten Arbeiten sind mit ausführlichen Kommentaren versehen. Besonders umfassend ist in diesem Band der Edition der Nachlaß Hausdorffs berücksichtigt. Hingewiesen sei insbesondere auf seinen zahlreichen originellen Studien zu Themen der deskriptiven Mengenlehre und auf seine damals sehr originelle Vorlesung über algebraische Topologie vom Sommersemester 1933.

Approach your problems from the right end It isn''t that they can''t see the solution. It is and begin with the answers. Then one day, that they can''t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ''The Hermit Clad in Crane Feathers'' in R. Brown ''The point of a Pin''. van Gulik''s The Chinese Maze Murders. 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 branches. 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 subdisciplines as "experimental mathematics", "CFD", "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.