Banca de QUALIFICAÇÃO: ANA PAULA PEREIRA DO NASCIMENTO SILVA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : ANA PAULA PEREIRA DO NASCIMENTO SILVA
DATE: 29/06/2026
TIME: 09:00
LOCAL: virtual
TITLE:

The Transformation of Algebraic Knowledge in Rafael Bombelli’s L’Algebra: A Historical-Cultural Analysis Grounded in the Theory of Objectification.

KEY WORDS:

Transformation of Knowledge, Subjectivation Processes, Objectivation Theory, L'Algebra, History of Mathematics.

PAGES: 76
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This dissertation investigates the transformation of algebraic knowledge in Rafael Bombelli’s L’Algebra (1572) from a historical-cultural perspective grounded in the Theory of Objectification. Taking as its primary corpus the manuscript B1569 (1557–1560) and the 1572 printed edition, the study examines the modifications introduced by the author and seeks to understand how these changes reflect transformations in mathematical knowledge as well as in Bombelli’s processes of subjectification. The research highlights the role played by Bombelli’s encounter with Diophantus’s Arithmetica, whose influence contributed to the reorganization of algebraic content, the reformulation of solution procedures, and the further development of discussions concerning complex numbers. At the same time, the investigation situates the production of L’Algebra within the intellectual context of the Italian Renaissance, a period marked by intense debates surrounding the solution of cubic equations. By analyzing the historical constitution of the knowledge embodied in L’Algebra, the dissertation argues that mathematical knowledge does not develop in a linear manner or solely through internal mathematical advances. Rather, it emerges from historical-cultural processes shaped by social relations, intellectual disputes, and specific forms of human activity. In this way, the study contributes to a broader understanding of mathematics as a dynamic cultural production that is historically situated and continuously transformed.

COMMITTEE MEMBERS:
Presidente - 1169920 - BERNADETE BARBOSA MOREY
Interno - 1359083 - IRAN ABREU MENDES
Externa à Instituição - JAQUELINE VARGAS PLAÇA - UFGD
Externa à Instituição - VALDENIZE LOPES DO NASCIMENTO - UFERSA