عنوان

The Chinese roots of linear algebra /

شابک

0801897556

شابک

9780801897559

عنوان اصلي

The Chinese roots of linear algebra /

نام عام مواد

[Book]

نام نخستين پديدآور

Roger Hart.

محل نشرو پخش و غیره

Baltimore, MD :

نام ناشر، پخش کننده و غيره

Johns Hopkins University Press,

تاریخ نشرو بخش و غیره

2011.

نام خاص و کميت اثر

xiii, 286 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

The history of mathematics

متن يادداشت

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

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

متن يادداشت

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.

موضوع مستند نشده

Algebras, Linear-- History.

موضوع مستند نشده

Mathematics, Chinese-- History.

موضوع مستند نشده

Algebras, Linear.

موضوع مستند نشده

Intellectual life.

موضوع مستند نشده

Lineare Algebra.

موضوع مستند نشده

Lineare Algebra.

موضوع مستند نشده

Mathematics, Chinese.

موضوع مستند نشده

Mathematik.

موضوع مستند نشده

China, Intellectual life.

موضوع مستند نشده

China.

موضوع مستند نشده

China.

موضوع مستند نشده

China.

بدون عنوان

0

بدون عنوان

7

بدون عنوان

7

بدون عنوان

7

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Hart, Roger, (Roger Preston)

تاريخ عمليات

20200822131048.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y