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## 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

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