The world of the abbaco

abbacus mathematics analyzed and situated historically between Fibonacci and Stifel

Jens Høyrup (Autor)

Buch | Softcover

XVII, 456 Seiten

2023
Springer International Publishing (Verlag)
978-3-031-25163-4 (ISBN)

Artikel merken

lt;p>The abbacus was a thorough and complete system of arithmetical calculations, which saw its dawn in the Indian and Arabic tradition of the Middle Ages, but which was developed in its fully fledged aspects especially in Italy, between Genoa, Milan, Venice and the region of Umbria. In this monograph, Høyrup explores how the abbacus tradition has developed in Europe, with a focus on Italy and Germany between the 14th and the 17th Century. With the analysis of texts from Fibonacci, Pacioli, and Stifel to name but a few, this book offers a critical historical analysis of the development and diffusion of a tradition of calculus that has deeply influenced the way in which mathematics has developed in the West. The primary purpose of the book is to present a fairly detailed portrait of the abbacus tradition as it developed historically; as will be argued, Fibonacci was much less important for the emergence of this tradition than mostly assumed - but since his importance is broadly taken for granted, that argument needs to be made, for which reason Fibonacci's Liber Abbaci is also described and analyzed in some depth. A secondary purpose is to show how the adoption of abbacus mathematics in German lands gave rise to the creation of a different tradition. The end of the book investigates the interplay of abbacus algebra with other intellectual currents which turned the whole mathematical undertaking upside-down in the 17th Century.

lt;p>Jens Høyrup (*1943): educated as a physicist at Copenhagen University. From 1973 he taught first in the domain of social, then human sciences, at Roskilde University, Denmark, until he retired in 2005. Much of his research has dealt with the conceptual, cultural and social history of pre-Modern mathematics - lately also, as in the final chapters of the present book, of Early Modern mathematics.

lt;p>Preface.- Contents.- Introduction- The home of abbacus mathematics: the abbacus school.- An example: Jacopo da Firenze's Tractatus algorismi, the short version.- Fibonacci and the Fibonacci story- The real story in select detail.- Abbacus goes into print and abroad318.- A double conclusion.- Sigla.- Bibliography- Name, subject and source index.

Erscheinungsdatum	01.02.2024
Reihe/Serie	Frontiers in the History of Science
Zusatzinfo	Illustrationen
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Naturwissenschaften
Schlagworte	Abacus Tradition • Benedetto da Firenze • Fibonacci • Florence Encyclopedias • History of Mathematics in Europe • Liber abbaci • Mathematics between the 14th and 17th Century • Pacioli • Rechenmeister Tradition • Rudolf • Stifel • Summa de arithmetica • Zilsel Thesis
ISBN-10	3-031-25163-6 / 3031251636
ISBN-13	978-3-031-25163-4 / 9783031251634
Zustand	Neuware