| 000 | 03101nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-030-46287-1 | ||
| 003 | DE-He213 | ||
| 005 | 20200904104943.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 200901s2020 gw | s |||| 0|eng d | ||
| 020 |
_a9783030462871 _9978-3-030-46287-1 |
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| 024 | 7 |
_a10.1007/978-3-030-46287-1 _2doi |
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| 050 | 4 | _aQA471 | |
| 072 | 7 |
_aPBM _2bicssc |
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| 072 | 7 |
_aMAT012000 _2bisacsh |
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| 072 | 7 |
_aPBM _2thema |
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| 082 | 0 | 4 |
_a516.5 _223 |
| 100 | 1 |
_aBaltus, Christopher. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aCollineations and Conic Sections _h[electronic resource] : _bAn Introduction to Projective Geometry in its History / _cby Christopher Baltus. |
| 250 | _a1st ed. 2020. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2020. |
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| 300 |
_aIX, 187 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aPreface -- 1. Introduction -- 2. Central Collineations -- 3. The Geometry of Euclid's Elements -- 4. Conics in Greek Geometry -- 5. Conic Sections in Early Modern Europe -- 6. Conic Sections in Early Modern Europe -- 7. Central Collineations -- 8. Nineteenth Century -- 9. Foci -- 10. Steiner. 11. Desargues and Involution -- 12. Looking Ahead -- 13. Matrices and Homogeneous Coordinates -- 14. Some Applications of Conics in History -- 15. Vertical Stretch and Isaac Newton's Conics -- 16. Three Appendices -- Bibliography. | |
| 520 | _aThis volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry. | ||
| 650 | 0 | _aProjective geometry. | |
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aHistory. | |
| 650 | 1 | 4 |
_aProjective Geometry. _0https://scigraph.springernature.com/ontologies/product-market-codes/M21050 |
| 650 | 2 | 4 |
_aHistory of Mathematical Sciences. _0https://scigraph.springernature.com/ontologies/product-market-codes/M23009 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030462864 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030462888 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030462895 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-46287-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c461189 _d461189 |
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