LEADER 03306nam 22006615 450 001 996490344603316 005 20231214145416.0 010 $a3-031-13566-0 024 7 $a10.1007/978-3-031-13566-8 035 $a(CKB)5580000000382677 035 $a(DE-He213)978-3-031-13566-8 035 $a(MiAaPQ)EBC7081892 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/92235 035 $a(PPN)264961447 035 $a(Au-PeEL)EBL7081892 035 $a(OCoLC)1344379378 035 $a(EXLCZ)995580000000382677 100 $a20240605d2022 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Surprises /$fby Mordechai Ben-Ari 205 $a1st ed. 2022. 210 $aCham$cSpringer Nature$d2022 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (XVI, 226 p. 170 illus., 23 illus. in color.) 311 $a3-031-13565-2 330 $aThis 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. 606 $aMathematics 606 $aComputer science 606 $aMathematics 606 $aComputer Science 606 $aMatemātica$2thub 608 $aLlibres electrōnics$2thub 610 $aopen access high school mathematics book 610 $aorigami book 610 $aelementary mathematics book 610 $amathematics circle book 610 $aMoti Ben-Ari mathematical surprises 610 $awhat is mathematics book 610 $amathematics independent study 610 $amathematics problems book 615 0$aMathematics. 615 0$aComputer science. 615 14$aMathematics. 615 24$aComputer Science. 615 7$aMatemātica 676 $a510 700 $aBen-Ari$b Mordechai$4aut$4http://id.loc.gov/vocabulary/relators/aut$05385 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996490344603316 996 $aMathematical Surprises$92995566 997 $aUNISA