عنوان

The Chinese roots of linear algebra /

(Number (ISBN

0801897556

(Number (ISBN

9780801897559

Title Proper

The Chinese roots of linear algebra /

General Material Designation

[Book]

First Statement of Responsibility

Roger Hart.

Place of Publication, Distribution, etc.

Baltimore, MD :

Name of Publisher, Distributor, etc.

Johns Hopkins University Press,

Date of Publication, Distribution, etc.

2011.

Specific Material Designation and Extent of Item

xiii, 286 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm

Series Title

The history of mathematics

Text of Note

Includes bibliographical references (pages 262-278) and index.

Text of Note

Introduction -- Preliminaries -- The sources: written records of early Chinese Mathematics -- Excess and deficit -- Fangcheng, Chapter 8 of the Nine Chapters -- The Fangcheng procedure in Modern Mathematiecal Terms -- The well problem -- Evidence of early determinantal solutions -- Conclusions.

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Text of Note

Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Artsùthe classic ancient Chinese mathematics textùand the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. --Book Jacket.

Text of Note

The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years.

Algebras, Linear-- History.

Mathematics, Chinese-- History.

Algebras, Linear.

Intellectual life.

Lineare Algebra.

Lineare Algebra.

Mathematics, Chinese.

Mathematik.

China, Intellectual life.

China.

China.

China.

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Number

Edition

Class number

Book number

Hart, Roger, (Roger Preston)

Date of Transaction

20200822131048.0

Electronic name

[Book]

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