Jump to ContentJump to Main Navigation

You are looking at 1-8 of 8 items

  • Keywords: Arithmetica x
Clear All Modify Search

View:

From Analytic Geometry to the Fundamental Theorem of Algebra

Victor J. Katz and Karen Hunger Parshall

in Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.003.0010
Subject:
Mathematics, History of Mathematics

This chapter follows up on the mathematical advances made during the sixteenth century, especially in the work of François Viète as he aspired to transform his algebra to realize his aim to “solve ... More


Reading between the lines: John Wallis's Arithmetica infinitorum

Jacqueline A. Stedall

in A Discourse Concerning Algebra: English Algebra to 1685

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198524953
eISBN:
9780191711886
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198524953.003.0006
Subject:
Mathematics, History of Mathematics

At the beginning of his mathematical career, John Wallis embarked on the work that was to be published in 1656 as the Arithmetica infinitorum. The book was his masterpiece and over the following ten ... More


Later Alexandrian Developments

Victor J. Katz and Karen Hunger Parshall

in Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.003.0004
Subject:
Mathematics, History of Mathematics

This chapter traces the development of mathematics in the vibrant research and cultural complex that began to coalesce around the Museum and Library in Alexandria around 300 BCE. This distinguished ... More


Arithmetic, Platonism, and Calculation in Bruno's and Ruotger's Cologne

Henry Mayr‐Harting

in Church and Cosmos in Early Ottonian Germany: The View from Cologne

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199210718
eISBN:
9780191705755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199210718.003.0006
Subject:
History, European Medieval History

This chapter begins with a discussion of Boethius' De Arithmetica, the most important conveyor of ancient arithmetic to the early Middle Ages. It analyses several other Arithmetic manuscripts with ... More


Edition of the Glosses to Boethius' De Arithmetica in Cologne Ms. 186

Henry Mayr‐Harting

in Church and Cosmos in Early Ottonian Germany: The View from Cologne

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199210718
eISBN:
9780191705755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199210718.003.0008
Subject:
History, European Medieval History

This chapter analyses the glosses to Boethius' De Arithmetica in Cologne Ms. 186. All the glosses appear to be written in one hand, except for Est autem (no. 52) and Profundissimam (no. 53), which ... More


Diophantus’s <i>Arithmetica</i>

Joseph Mazur

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

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0010
Subject:
Mathematics, History of Mathematics

This chapter discusses Diophantus's Arithmetica and its contribution to symbolic modern mathematics. Some historians in the past have suggested that algebra began with Diophantus, whose Arithmetica ... More


The Timid Symbol

Joseph Mazur

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

Published in print:
2016
Published Online:
January 2018
ISBN:
9780691173375
eISBN:
9781400850112
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691173375.003.0013
Subject:
Mathematics, History of Mathematics

This chapter discusses the evolution of symbols as used in mathematics. It begins by considering Michael Stifel's Arithmetica Integra, a treatise on arithmetic and algebra that included several ... More


The Method of Series

Niccolò Guicciardini

in Isaac Newton on Mathematical Certainty and Method

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013178
eISBN:
9780262258869
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013178.003.0007
Subject:
History, History of Science, Technology, and Medicine

This chapter explores the method of series developed in Newton’s De Analysi per aequationes numero terminorum infinitas. Newton’s method in the use of infinite series was heavily derived from the ... More


View: