Buy Mathematical Surprises By Ben-Ari, Mordechai [Paperback]

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Mathematical Surprises by Ben-Ari, Mordechai [Paperback]

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Item	204976493745
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Condition	Brand New
EAN	9783031135651
UPC	9783031135651
ISBN	9783031135651
Format	Paperback, 226 pages, 1st ed. 2022 Edition
Author	Ben-Ari, Mordechai
Book Title	Mathematical Surprises by Ben-Ari, Mordechai [Pape
Item Height	1.93 cm
Item Length	23.5 cm
Item Weight	0.38 kg
Item Width	15.5 cm
Language	Eng
Publisher	Springer International Publishing AG

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 />