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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


Mathematical Mysteries in Byzantium: The Transmission of Fermat’S Last Theorem

Judith Herrin

in Margins and Metropolis: Authority across the Byzantine Empire

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691153018
eISBN:
9781400845224
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153018.003.0015
Subject:
History, World Medieval History

This chapter examines how the mathematical mysteries of Diophantus were preserved, embellished, developed, and enjoyed in Byzantium by many generations of amateur mathematicians like Pierre de ... 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


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