| 000 | 02696naaaa2200433uu 4500 | ||
|---|---|---|---|
| 003 | BUT | ||
| 005 | 20230327174008.0 | ||
| 006 | m o d | ||
| 007 | cr|mn|---annan | ||
| 008 | 20220915s2022 stkx |||||o ||||eng|| d | ||
| 020 | _a978-3-031-13566-8 | ||
| 020 | _a9783031135668 | ||
| 040 |
_aoapen _coapen |
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| 041 | 0 | _aeng | |
| 042 | _adc | ||
| 080 | _a004 | ||
| 100 | 1 |
_aBen-Ari, Mordechai _4auth |
|
| 245 | 1 | 0 | _aMathematical Surprises |
| 260 |
_aCham _bSpringer Nature _c2022 |
||
| 300 | _a1 electronic resource (226 p.) | ||
| 506 | 0 |
_aOpen Access _2star _fUnrestricted online access |
|
| 520 | _aThis 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. | ||
| 536 | _aWeizmann Institute of Science | ||
| 540 |
_aCreative Commons _fby/4.0/ _2cc |
||
| 546 | _aEnglish | ||
| 650 | 0 |
_aПрограммирование _91403 |
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| 653 | _aopen access high school mathematics book | ||
| 653 | _aorigami book | ||
| 653 | _aelementary mathematics book | ||
| 653 | _amathematics circle book | ||
| 653 | _aMoti Ben-Ari mathematical surprises | ||
| 653 | _awhat is mathematics book | ||
| 653 | _amathematics independent study | ||
| 653 | _amathematics problems book | ||
| 856 | 4 | 0 |
_awww.oapen.org _uhttps://library.oapen.org/bitstream/id/6589df38-aaa4-4b5e-a117-f9071b934807/978-3-031-13566-8.pdf _70 _zDownload |
| 856 | 4 | 0 |
_awww.oapen.org _uhttps://library.oapen.org/handle/20.500.12657/58389 _70 _zDescription |
| 909 |
_c197 _dKhurliman Arzieva |
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| 942 |
_2udc _cEE |
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| 999 |
_c6204 _d6204 |
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