| 000 | 02871nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-13566-8 | ||
| 003 | DE-He213 | ||
| 005 | 20240508090327.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220907s2022 sz | s |||| 0|eng d | ||
| 020 |
_a9783031135668 _9978-3-031-13566-8 |
||
| 024 | 7 |
_a10.1007/978-3-031-13566-8 _2doi |
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| 050 | 4 | _aQA1-939 | |
| 072 | 7 |
_aPB _2bicssc |
|
| 072 | 7 |
_aMAT000000 _2bisacsh |
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| 072 | 7 |
_aPB _2thema |
|
| 082 | 0 | 4 |
_a510 _223 |
| 100 | 1 |
_aBen-Ari, Mordechai. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aMathematical Surprises _h[electronic resource] / _cby Mordechai Ben-Ari. |
| 250 | _a1st ed. 2022. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2022. |
|
| 300 |
_aXVI, 226 p. 170 illus., 23 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 506 | 0 | _aOpen Access | |
| 520 | _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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aComputer science. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aComputer Science. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031135651 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031135675 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-13566-8 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 912 | _aZDB-2-SOB | ||
| 999 |
_c37765 _d37765 |
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