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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


Heavenly Numbers: Astronomy and Authority in Early Imperial China

Christopher Cullen

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198733119
eISBN:
9780191797705
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198733119.001.0001
Subject:
Mathematics, History of Mathematics

This book is a history of the development of mathematical astronomy in China, from the late third century BCE, to the early third century CE—a period often referred to as ‘early imperial China’. It ... More


The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

Catherine Jami

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199601400
eISBN:
9780191729218
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199601400.001.0001
Subject:
Mathematics, History of Mathematics

This book explores how the mathematics the Jesuits brought to China was reconstructed as a branch of imperial learning so that the emperor Kangxi (r. 1662–1722) could consolidate his power over the ... More


Introduction

Catherine Jami

in The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199601400
eISBN:
9780191729218
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199601400.003.0001
Subject:
Mathematics, History of Mathematics

This introductory chapter sets out the purpose of the book, which is to contribute to the study of science in the Qing period, specifically emperor Kangxi's engagement with mathematics. It relies on ... More


The Jesuits and mathematics in China, 1582–1644

Catherine Jami

in The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199601400
eISBN:
9780191729218
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199601400.003.0002
Subject:
Mathematics, History of Mathematics

This chapter outlines the beginnings of Western learning in China during the years 1582 to 1644, the last six decades of the Ming dynasty; it discusses the Jesuits' teaching of mathematics in China ... More


The Great Art

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/9780691173375.003.0011
Subject:
Mathematics, History of Mathematics

This chapter discusses the origins of the art of algebra, beginning with the possibility that it may have come from the Greeks or from the Hindus. However, the Brahmins of northern India had some ... More


China

ANDREA BRÉARD

in Combinatorics: Ancient and Modern

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.003.0003
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

Combinatorial practices in China go back to high antiquity, when divinatory techniques relied on configurations of broken and unbroken lines. The Yijing or I Ching (Book of Change), compiled under ... More


The astronomical empire

Christopher Cullen

in Heavenly Numbers: Astronomy and Authority in Early Imperial China

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198733119
eISBN:
9780191797705
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198733119.003.0002
Subject:
Mathematics, History of Mathematics

This chapter begins by sketching the historical and cultural foundations of the role played by astronomy in the self-presentation of the early imperial Chinese state, principally through its claim to ... More


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