9. The Growth of Algebraic Thought in Sixteenth-Century Europe

2014 ◽  
pp. 214-246
Keyword(s):  
Sixteenth Century ◽  
Algebraic Thought

The Growth of Algebraic Thought in Sixteenth-Century Europe

2014 ◽  
Author(s):  
Victor J. Katz ◽  
Karen Hunger Parshall
Keyword(s):  
Sixteenth Century ◽  
Fifteenth Century ◽  
Thirteenth Century ◽  
The Body ◽  
The Third ◽  
Body Of Knowledge ◽  
Algebraic Thought

This chapter traces the growth of algebraic thought in Europe during the sixteenth century. Equations of the third and fourth degrees sparked quite a few algebraic fireworks in the first half of the century. Their solutions marked the first major European advances beyond the algebra contained in Fibonacci's thirteenth-century Liber abbaci. By the end of the century, algebraic thought—through work on the solutions of the cubics and quartics but, more especially, through work aimed at better contextualizing and at unifying those earlier sixteenth-century advances—had grown significantly beyond the body of knowledge codified in Luca Pacioli's fifteenth-century compendium, the Summa de arithmetica, geometria, proportioni, e proportionalita. Algebra during this period was evolving in interesting ways.

Maxims of Foreign Policy

Itinerario ◽  
2000 ◽  
Vol 24 (2) ◽  
pp. 62-79
Author(s):  
W.J. Boot
Keyword(s):  
Foreign Policy ◽  
Sixteenth Century ◽  
Foreign Relations ◽  
East Asian ◽  
Modern Period ◽  
Cultural Sphere ◽  
Japanese Identity

In the pre-modern period, Japanese identity was articulated in contrast with China. It was, however, articulated in reference to criteria that were commonly accepted in the whole East-Asian cultural sphere; criteria, therefore, that were Chinese in origin.One of the fields in which Japan's conception of a Japanese identity was enacted was that of foreign relations, i.e. of Japan's relations with China, the various kingdoms in Korea, and from the second half of the sixteenth century onwards, with the Portuguese, Spaniards, Dutchmen, and the Kingdom of the Ryūkū.

Leone de' Sommi and Jewish Theatre in Renaissance Mantua

2009 ◽  
Vol 29 (2) ◽  
pp. 5-19
Author(s):  
Donald Beecher
Keyword(s):  
Sixteenth Century ◽  
The Political ◽  
Complex Relationship ◽  
Social Negotiations ◽  
Renaissance Artist ◽  
The Way

This is a study of a Renaissance artist and his patrons, but with an added complication, insofar as Leone de' Sommi, the gifted academician and playwright in the employ of the dukes of Mantua in the second half of the sixteenth century, was Jewish and a lifelong promoter and protector of his community. The article deals with the complex relationship between the court and the Jewish "università" concerning the drama and the way in which dramatic performances also became part of the political, judicial and social negotiations between the two parties, as well as a study of Leone's role as playwright and negotiator during a period that was arguably one of the best of times for the Jews of Mantua.

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