| 000 | 03568nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-48158-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112656.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240729s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031481581 _9978-3-031-48158-1 |
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| 024 | 7 |
_a10.1007/978-3-031-48158-1 _2doi |
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| 050 | 4 | _aQ124.6-127.2 | |
| 072 | 7 |
_aPDX _2bicssc |
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| 072 | 7 |
_aSCI034000 _2bisacsh |
|
| 072 | 7 |
_aPDX _2thema |
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| 100 | 1 |
_aHøyrup, Jens. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _973952 |
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| 245 | 1 | 0 |
_aExplorations and False Trails _h[electronic resource] : _bThe Innovative Techniques That Brought About Modern Algebra / _cby Jens Høyrup. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aX, 143 p. 15 illus. _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 |
||
| 490 | 1 |
_aSpringerBriefs in History of Science and Technology, _x2211-4572 |
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| 505 | 0 | _aPreface -- Introduction -- Chapter 1. Geometric proofs -- Chapter 2. Powers of the unknown -- Chapter 3. Abbreviations, glyphs, symbols and symbolic calculation -- Chapter 4. Embedding and parenthesis function -- Chapter 5. Several unknowns -- Chapter 6. The transition to incipient modern algebra -- Bibliography -- Index. . | |
| 520 | _aThis book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna—with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift. | ||
| 650 | 0 |
_aScience _xHistory. _965232 |
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| 650 | 0 |
_aMathematics. _965523 |
|
| 650 | 0 | _aHistory. | |
| 650 | 1 | 4 |
_aHistory of Science. _966101 |
| 650 | 2 | 4 |
_aHistory of Mathematical Sciences. _966197 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031481574 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031481598 |
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_aSpringerBriefs in History of Science and Technology, _x2211-4572 _980976 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-48158-1 |
| 912 | _aZDB-2-HTY | ||
| 912 | _aZDB-2-SXH | ||
| 999 |
_c62006 _d62006 |
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