Using field-tested carefully crafted units of study the authors in this essential teach
fundamental mathematical techniques that are relevant well beyond the elementary school years.
In this Volume II the Gaussian summation formula and a recursion formula are derived and
applied. Tasks on divisibility prime factors and divisors follow. For calculating with
remainders the modulo calculation is introduced and applied. Students learn to perform proofs
in a variety of contexts. As in Volume I Graphs Games and Proofs the tasks encourage
mathematical thinking skills 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 II - Rekursion Teilbarkeit 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.
