EAN: 9783030761936

UNDERGRADUATE TOPICS IN COMPUTER SCIENCE PRIN...

New insight in many scientific and engineering fields is unthinkable without the use of
numerical simulations running efficiently on modern computers. The faster we get new results 
the bigger and accurate are the problems that we can solve. It is the combination of
mathematical ideas plus efficient programming that drives the progress in many disciplines.
Future champions in the area thus will have to be qualified in their application domain  they
will need a profound understanding of some mathematical ideas  and they need the skills to
deliver fast code. The present textbook targets students which have programming skills already
and do not shy away from mathematics  though they might be educated in computer science or an
application domain. It introduces the basic concepts and ideas behind applied mathematics and
parallel programming that we need to write numerical simulations for today's multicore
workstations. Our intention is not to dive into one particular application domain or to
introduce a new programming language - we lay the generic foundations for future courses and
projects in the area. The text is written in an accessible style which is easy to digest for
students without years and years of mathematics education. It values clarity and intuition over
formalism  and uses a simple N-body simulation setup to illustrate basic ideas that are of
relevance in various different subdomains of scientific computing. Its primary goal is to make
theoretical and paradigmatic ideas accessible to undergraduate students and to bring the
fascination of the field across.

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