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Circles Disturbed: The Interplay of Mathematics and Narrative

Apostolos Doxiadis and Barry Mazur (eds)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.001.0001
Subject:
Mathematics, History of Mathematics

This book brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. “Circles disturbed” reflect the last words of ... More


Moving the Alps: uncovering the mathematics of John Pell

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/9780198524953.003.0005
Subject:
Mathematics, History of Mathematics

John Pell (1611-1685) has long been considered the most enigmatic of the 17th-century mathematicians. He was well read in both Classical and contemporary mathematics, and there is no doubt that he ... More


Why Spin Glasses?

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0001
Subject:
Sociology, Science, Technology and Environment

Spin glasses are disordered magnetic materials, and it is hard to find a less promising candidate to serve as a focal point of complexity studies, much less as the object of thousands of ... More


From Voyagers to Martyrs: Toward a Storied History of Mathematics

Amir Alexander

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0001
Subject:
Mathematics, History of Mathematics

This chapter traces the history of mathematics, from the late sixteenth century to the present, through the lens of mathematical stories. The period is divided into three main epochs and a possible ... More


Narrative and the Rationality of Mathematical Practice

David Corfield

Apostolos Doxiadis and Barry Mazur (eds)

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0009
Subject:
Mathematics, History of Mathematics

This chapter examines the rationality of mathematical practice in relation to narrative. It begins with a discussion of Alasdair MacIntyre's account of rational enquiry, Three Rival Versions of Moral ... More


Mathematics and Narrative: An Aristotelian Perspective

G. E. R. Lloyd

Apostolos Doxiadis and Barry Mazur (eds)

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0011
Subject:
Mathematics, History of Mathematics

This chapter explores the relationship between mathematics and narrative from an Aristotelian perspective. Aristotle's philosophy of mathematics is radically different from that of Plato. For ... More


Algebraic Thought in Ancient and Medieval China

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/9780691149059.003.0005
Subject:
Mathematics, History of Mathematics

This chapter takes a look at the scope of mathematics in Ancient and Medieval China. Although the Chinese engaged in numerical calculation as early as the middle of the second millennium BCE, the ... More


Algebraic Thought in Medieval India

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/9780691149059.003.0006
Subject:
Mathematics, History of Mathematics

This chapter explores medieval Indian algebraic thought in the works of Āryabhạ‎ta, author of the astronomical treatise Āryabhạ‎tīya (ca. 500 CE), and Brahmagupta, who wrote the ... 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


The Early Tradition on Pythagoras and Its Development

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0002
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter reviews references to Pythagoras by the authors of the pre-Platonic period. It shows that in the course of the fourth century, studies in mathematics, particularly geometry and ... More


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