01064nam0-2200385---450 99000566466020331620190403124951.0000566466USA01000566466(ALEPH)000566466USA0100056646620050322d1983----|||y0itaa50------baitait0 00|||<<L' >> attesa della finestoria della gnosiGiovanni Filoramo[Bari]Laterzastampa 1983XXIII, 322 p.22 cm.Collezione storica2001Collezione storicaGnosticismoFBARI273.1FILORAMO,Giovanni136210ITSA20111219990005664660203316Dipar.to di Filosofia - SalernoDFCC 273.1 FIL375 FILCC 273.1 FIL375 FILBKFIL20121027USA01152520121027USA011615Attesa della fine99361UNISASA001300003531nam 22005655 450 991087805570332120241205221029.09783031481581(electronic bk.)978303148157410.1007/978-3-031-48158-1(MiAaPQ)EBC31572223(Au-PeEL)EBL31572223(CKB)33566327300041(DE-He213)978-3-031-48158-1(EXLCZ)993356632730004120240729h20242024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierExplorations and false trails the innovative techniques that brought about modern algebra /Jens HøyrupCham :Springer,2024.1 online resource (x, 143 pages) illustrationsSpringerBriefs in history of science and technology,2211-4572Print version: Høyrup, Jens Explorations and False Trails Cham : Springer,c2024 9783031481574 Includes bibliographical references and index.Preface -- 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. .This 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.SpringerBriefs in history of science and technology.2211-4572AlgebraHistoryScienceHistoryMathematicsHistoryHistory of ScienceHistory of Mathematical SciencesAlgebraHistory.ScienceHistory.Mathematics.History.History of Science.History of Mathematical Sciences.509Høyrup Jens390350MiAaPQMiAaPQMiAaPQ9910878055703321Explorations and False Trails4201766UNINA