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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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