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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


Refuting Origins

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/9780691173375.003.0008
Subject:
Mathematics, History of Mathematics

This chapter discusses the debate among experts over the origins of the Hindu-Arabic numerals. One such expert was the French mathematician and historian Michel Chasles, who argued that by the fifth ... More


Sans Symbols

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/9780691173375.003.0009
Subject:
Mathematics, History of Mathematics

This chapter discusses the importance of symbols to the development of mathematics. It begins by analyzing the oldest surviving copy of Euclid's Elements, MS D'Orville 301, which shows how to prove ... 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 Ancient Approach

Glen Van Brummelen

in Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175997
eISBN:
9781400844807
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175997.003.0003
Subject:
Mathematics, History of Mathematics

This chapter discusses the ancient approach to trigonometry, beginning with Hipparchus of Rhodes, the founder of trigonometry. It reconstructs when and where Hipparchus must have lived by taking into ... More


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