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Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

door Joseph Mazur

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1022267,236 (3)Geen
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.… (meer)
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Secondo me il titolo scelto nella traduzione italiana di questo libro è fuorviante. Sì, qualcosa sulla storia dei simboli matematici si trova, anche se ad esempio Più per meno diviso di Peppe Liberti ne ha di più. Ma quello di cui Mazur vuole parlare è in realtà della filosofia dei simboli matematici, o per meglio dire di come l'uso di simboli scelti in modo opportuno possa illuminare ("enlighten", come da titolo originale) la comprensione dei concetti matematici. Delle tre parti in cui il libro è composto, la più riuscita è la seconda, sull'era moderna: la prima, con la nascita delle cifre e dei sistemi posizionali, mi è parsa confusa mentre la terza sulla fisiologia del cervello relativa alla comprensione dei simboli, è forse un po' fuori posto. Più preoccupanti sono le numerose ripetizioni nel testo, e in qualche caso - come nel caso dell'umbro Livero de l'abbecho - anche contraddizioni. L'impressione che ho avuto è che Mazur abbia scritto il testo a spizzichi e bocconi nel corso di vari anni e non abbia poi provveduto a rileggerlo e asciugarlo, cosa che avrebbe favorito la lettura. La traduzione di Paolo Bartesaghi è scorrevole, anche se mi ha lasciato perplesso vedere all'inizio che il Webster da un dizionario è diventato una persona; ci sono infine parecchi refusi, alcuni dei quali forse già nell'originale, a giudicare dai ringraziamenti di Mazur al suo traduttore in ceco. ( )
  .mau. | Sep 16, 2016 |
The book's first part, on the history of numerals, seemed rather long and turgid, perhaps because the subject has been so thoroughly covered in other books. The more interesting middle part traces the tortuous development of the notations of algebra and calculus by such people as Diophantus, Al-Khwarizmi, Al-Kashi, Chuquet, Rudolff, Stifelius, Cardano, Recorde, Bombelli, Stevin, Viète, Harriot, Oughtred, Descartes, Leibniz, and Newton. That leaves many of today's advanced notations undiscussed, and the book's reflective third part does not take things much further.
  fpagan | Aug 9, 2014 |
Toon 2 van 2
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An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

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