With the help of tried and tested, carefully elaborated learning units,
the authors convey fundamental mathematical techniques in this
essential, which are important far beyond primary school. In the present
volume I, path problems and word puzzles are modeled and solved using
undirected and directed graphs. Simple math games are systematically
analyzed and the optimal strategies are determined. Students learn to
gradually reduce difficult problems to simpler ones and to provide
evidence in different contexts. The tasks encourage mathematical
thinking, imagination and creativity. The detailed sample solutions are
designed for non-mathematicians.
This book is a translation of the original German 1st edition
Mathematische Geschichten I - Graphen, Spiele und Beweise by Susanne
Schindler-Tschirner and Werner Schindler, published by Springer
Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019. The
translation was done with the help of artificial intelligence (machine
translation by the service DeepL.com). A subsequent human revision was
done primarily in terms of content, so that the book will read
stylistically differently from a conventional translation. Springer
Nature works continuously to further the development of tools for the
production of books and on the related technologies to support the
authors.