portada Explorations and False Trails: The Innovative Techniques That Brought about Modern Algebra (en Inglés)

Explorations and False Trails: The Innovative Techniques That Brought about Modern Algebra (en Inglés)

Formato

Libro Físico

Autor

Jens Høyrup

Editorial

Springer

Idioma

Inglés

N° páginas

132

Encuadernación

Tapa Blanda

ISBN13

9783031481574

Categorías

Filosofía de las matemáticas
Historia de las matemáticas
Historia de la ciencia

Explorations and False Trails: The Innovative Techniques That Brought about Modern Algebra (en Inglés)

Jens Høyrup (Autor) · Springer · Tapa Blanda

Libro Nuevo Importado

Envío: 20 a 27 días háb.

$ 108.30$ 59.56

-45%

Costos de importación incluídos en el precio ✅

Libro Nuevo

Quedan más de 100 unidades

$ 59.56

Llega entre el 28 Sep y el 12 Oct a Quito, Pichincha. Seleccionar ubicación

Agregar a lista de deseos

Reseña del libro "Explorations and False Trails: The Innovative Techniques That Brought about Modern Algebra (en Inglés)"

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.