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This book offers an insider's view of how industrial problems are
translated into mathematics and how solving the mathematics leads
to convincing industrial solutions as well. In 6 technical
chapters, a wide range of industrial problems is modeled,
simulated, and optimized; 4 others describe the modeling,
computing, optimization, and data analysis concepts shaping the
work of the Fraunhofer ITWM. Each technical chapter illustrates how
the relevant mathematics has been adapted or extended for the
specific application and details the underlying practical problem
and resulting software. The final chapter shows how the use of
mathematical modeling in the classroom can change the image of this
subject, making it exciting and fun.
Zeigt, wie industrielle Problemstellungen mathematisch modelliert
und berechnet werden koennen Gibt einen Einblick in die Arbeit des
Fraunhofer-Instituts (ITWM) Zeigt wie mathematische Modellierung
eingesetzt werden kann
I believe that there exist two different worlds of Mathematics: the
world of Mathematics in Industry and the world of Mathematics at
Universities. Based on a similar activity of the human mind, which
we generally call doing mathematics, they have different aims,
different hierarchies of values and, therefore, different
structures. And there are only few contacts between them:
Mathematics at Universities in general follows its interior rules
not caring for the needs expressed by the exterior world;
Mathematics in Industry very often does not find enough time to
watch the developments in the second world and is exclusively
driven by industrial problems. The coupling of the two worlds,
however, is necessary for both of them: industry needs ideas from
academic mathematics as a source of innovation, to improve
simulations, optimisations, quality control, etc. University
mathematics needs industry as a source of exiting problems, of jobs
for their graduates, of prestige and last but not least of
additional funding. There are some attempts to make closer contact
with each other: large high tech companies have their antennas
checking new ideas for applicability - and there are attempts at
universities called Mathematics for Industry trying to find
mathematical solutions for industrial problems. However, these
attempts are quite limited: small- and medium-sized companies, for
example, have no chance to keep contact - and what academics call a
solution for a problem is often far from what industry is looking
for."
Das Buch bietet erstmalig Einsichten in historische und aktuelle
Berufsverlaufe von Frauen und Mannern in der Mathematik. Ziel des
Buches ist zu zeigen, dass es sich lohnt, Mathematik zu studieren.
Das Buch fasst die Ergebnisse einer von der Volkswagenstiftung
geforderten interdisziplinaren Studie zusammen, an der
Wissenschaftler der Mathematik, der Psychologie und der
Mathematikgeschichte beteiligt waren.
Das Buch ist wichtig fur Abiturienten, Berufsberatungsstellen,
Bildungspolitik, Mathematikhistoriker und Berufspsychologen."
Mathematik in Physik und Technik ist ein Lehrbuch fA1/4r Studenten
der Physik und der Ingenieurwissenschaften, die an sich schon mit
den Grundlagen der Mathematik vertraut sind, allerdings noch
Schwierigkeiten haben, dieses mathematische Wissen auf konkrete
Fragestellungen der Physik zu A1/4bertragen. Die vorliegende
Aufgabensammlung frischt daher nicht nur latent Vorhandenes auf,
sondern versucht, mathematische Methoden in Anlehnung an die Physik
anschaulich darzustellen und einzuA1/4ben. Welche Rolle spielen
Dimensionen, was darf vernachlAssigt werden, wie kommt man zu
sinnvollen mathematischen Modellen physikalischer VorgAnge? Eine
wahre Fundgrube fA1/4r jeden, der nicht nur Wissen sammeln, sondern
auch tatsAchlich lernen will, es umzusetzen.
This volume presents the proceedings of the thira German-Italian
Symposium on the Applications of Mathematics in Industry and
Technology sponsored mainly by the research foundations of Germany
and Italy, DFG and CNR. We had not published the proceedings of the
second symposium held in Germany, but are now convinced that a
publication would be appreciated by many scientists. The aim we had
in mind organizing this symposium and communicating its scientific
content was essentially the same as in the previous symposia - we
were led by the same scientific and cultural (maybe even political)
ideas. The scientific idea is simple: Mathematics becomes a more
and more important tool in technology, business and organisatio-
but mathematics does not play a corresponding role. The reason is
that neither the public opinion nor the mathematicians them- selves
are really aware of this fact. To show the richness and efficiency
of this "industrial raw material" mathematics - at least in some
domains - was one subject of the conference. In planning the
structure a decision had to be made: If one wishes to present a
huge variety of applications of mathematics in very different
fields, the participants may loose the track, cannot find any
connection with their own field of research in too many lectures;
the symposium des integrates like a puzzle into many pieces, which
are not easy to be put together again.
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