Bøger af Werner Schindler

¿Einsatzfertige Lerneinheiten vermitteln fundamentale mathematische Techniken, die weit über die Oberstufe hinaus von Bedeutung sind. Die Lerninhalte eignen sich auch zur gezielten Vorbereitung auf Mathematikwettbewerbe. Schwerpunkte bilden Stochastik und trigonometrische Funktionen. Es wird mit Erwartungswerten gerechnet, in die Spieltheorie eingeführt, und es werden der Sinussatz und Additionstheoreme für Sinus und Cosinus behandelt. Hinzu kommen Exkurse in die Aussagenlogik und die Graphentheorie. Die Schüler*innen führen Beweise in unterschiedlichen Gebieten. Die Aufgaben fördern die mathematische Denkfähigkeit, Phantasie und Kreativität.

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.

This book constitutes the refereed proceedings of the Third International Workshop on Constructive Side-Channel Analysis and Secure Design, COSADE 2012, held in Darmstadt, Germany, May 2012.The 16 revised full papers presented together with two invited talks were carefully reviewed and selected from 49 submissions. The papers are organized in topical sections on practical side-channel analysis; secure design; side-channel attacks on RSA; fault attacks; side-channel attacks on ECC; different methods in side-channel analysis.