Mathematical Surprises
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 mathematica...
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| Formaat: | Online |
| Taal: | Engels |
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Springer Nature
2022
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| Online toegang: | ONIX_20220915_9783031135668_35 |
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| _version_ | 1869519544776654848 |
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| author | Ben-Ari, Mordechai |
| author_browse | Ben-Ari, Mordechai |
| author_facet | Ben-Ari, Mordechai |
| author_sort | Ben-Ari, Mordechai |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-92235 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-922352024-07-17T06:26:05Z Mathematical Surprises Ben-Ari, Mordechai open access high school mathematics book origami book elementary mathematics book mathematics circle book Moti Ben-Ari mathematical surprises what is mathematics book mathematics independent study mathematics problems book Textbook thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::U Computing and Information Technology::UY Computer science 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. 2022-09-22T04:02:50Z 2022-09-22T04:02:50Z 2022-09-15T20:14:13Z 2022 book ONIX_20220915_9783031135668_35 https://library.oapen.org/handle/20.500.12657/58389 9783031135668 https://directory.doabooks.org/handle/20.500.12854/92235 eng open access image/jpeg image/jpeg n/a n/a https://library.oapen.org/bitstream/20.500.12657/58389/1/978-3-031-13566-8.pdf https://library.oapen.org/bitstream/20.500.12657/58389/1/978-3-031-13566-8.pdf Springer Nature Springer International Publishing 10.1007/978-3-031-13566-8 10.1007/978-3-031-13566-8 9fa3421d-f917-4153-b9ab-fc337c396b5a Weizmann Institute of Science 1a72f9ce-e695-4dd5-89a4-af670d7983ee 9783031135668 Springer International Publishing 226 Cham [...] open access |
| spellingShingle | open access high school mathematics book origami book elementary mathematics book mathematics circle book Moti Ben-Ari mathematical surprises what is mathematics book mathematics independent study mathematics problems book Textbook thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::U Computing and Information Technology::UY Computer science Ben-Ari, Mordechai Mathematical Surprises |
| title | Mathematical Surprises |
| title_full | Mathematical Surprises |
| title_fullStr | Mathematical Surprises |
| title_full_unstemmed | Mathematical Surprises |
| title_short | Mathematical Surprises |
| title_sort | mathematical surprises |
| topic | open access high school mathematics book origami book elementary mathematics book mathematics circle book Moti Ben-Ari mathematical surprises what is mathematics book mathematics independent study mathematics problems book Textbook thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | open access high school mathematics book origami book elementary mathematics book mathematics circle book Moti Ben-Ari mathematical surprises what is mathematics book mathematics independent study mathematics problems book Textbook thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20220915_9783031135668_35 |
| work_keys_str_mv | AT benarimordechai mathematicalsurprises |