Download EBOOK The Chinese Roots of Linear Algebra PDF for free
 
Category: Science & Geography
The author of the book: Roger Hart
Format files: PDF, EPUB, TXT, DOCX
The size of the: 182 KB
Language: English
ISBN13: 9780801897559
Edition: JOHNS HOPKINS UNIVERSITY PRESS
Date of issue: 7 January 2011

Description of the book "The Chinese Roots of Linear Algebra":
A monumental accomplishment in the history of nonWestern mathematics, 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. Accomplished historian and Chineselanguage scholar Roger Hart examines Nine Chapters of Mathematical Artsthe classic ancient Chinese mathematics textand 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 PDF 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 determinantalstyle solutions. Mathematicians and ePub historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.
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Roger Hart
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