Mathematical Surprises (Paperback, 1st ed. 2022)

This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami, construction with straightedge and compass (and other instruments), the five- and six-color theorems, a taste of Ramsey theory and little-known theorems proved by induction. Among the most surprising theorems are the Mohr-Mascheroni theorem that a compass alone can perform all the classical constructions with straightedge and compass, and Steiner's theorem that a straightedge alone is sufficient provided that a single circle is given. The highlight of the book is a detailed presentation of Gauss's purely algebraic proof that a regular heptadecagon (a regular polygon with seventeen sides) can be constructed with straightedge and compass. Although the mathematics used in the book is elementary (Euclidean and analytic geometry, algebra, trigonometry), students in secondary schools and colleges, teachers, and other interested readers will relish the opportunity to confront the challenge of understanding these surprising theorems. Supplementary material to the book can be found at https://github.com/motib/suprises.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	September 2022
First published:	2022
Authors:	Mordechai Ben-Ari
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	226
Edition:	1st ed. 2022
ISBN-13:	978-3-03-113565-1
Categories:	Books > Science & Mathematics > Mathematics > General Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General
LSN:	3-03-113565-2
Barcode:	9783031135651

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