Articoli correlati a The Chinese Roots of Linear Algebra

The Chinese Roots of Linear Algebra - Rilegato

Hart, Roger

 
9780801897559: The Chinese Roots of Linear Algebra
Rilegato
ISBN 10: 0801897556 ISBN 13: 9780801897559
Casa editrice: Johns Hopkins Univ Pr, 2011

Sinossi

A monumental accomplishment in the history of non-Western 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 Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and 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.

Mathematicians and 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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Informazioni sull'autore

Roger Hart is an assistant professor in the Department of History at the University of Texas, Austin.

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Editore
Johns Hopkins Univ Pr
Data di pubblicazione
2011
Lingua
Inglese
ISBN 10 
0801897556
ISBN 13 
9780801897559
Rilegatura
Copertina rigida
Numero di pagine
286
Contatto del produttore
non disponibile
Persona responsabile
non disponibile