Mathematical Stories II - Recursion, Divisibility and Proofs: For Gifted Students in Primary School

The authors of this book use field-tested, carefully crafted units of study to teach fundamental mathematical techniques that are relevant beyond the elementary school years. Volume II covers the Gaussian summation formula, a recursion formula, divisibility, prime factors, and divisors, and introduces the modulo calculation. Students learn to perform proofs in various contexts, and the detailed sample solutions are designed for non-mathematicians. The book is a translation of the original German 1st edition and was done with the help of artificial intelligence. Springer Nature is committed to further developing tools for book production and related technologies to support authors.

Format: Paperback / softback
Length: 67 pages
Publication date: 15 April 2023
Publisher: Springer

This essential textbook offers a comprehensive and engaging approach to teaching fundamental mathematical techniques that extend beyond the elementary school years. Written by experienced authors, the book employs field-tested, carefully crafted units of study to impart essential knowledge and skills. In Volume II, the authors delve into the derivation and application of the Gaussian summation formula, as well as introducing a recursion formula. The subsequent chapters focus on tasks related to divisibility, prime factors, and divisors, fostering students' understanding of these foundational concepts. To enhance calculation with remainders, the modulo calculation is introduced and applied, enabling students to perform proofs in various contexts. Similar to Volume I, Graphs, Games, and Proofs, this book employs a variety of tasks to stimulate mathematical thinking skills, imagination, and creativity. The detailed sample solutions are designed to cater to non-mathematicians, making the content accessible and engaging for a wide range of readers.

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 accomplished with the assistance of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was conducted primarily in terms of content, ensuring that the book reads stylistically differently from a conventional translation. Springer Nature is committed to continuously advancing the development of tools for book production and related technologies to support authors.

Weight: 122g
Dimension: 210 x 148 (mm)
ISBN-13: 9783658386108
Edition number: 1st ed. 2023