1 edition of **The Chinese roots of linear algebra** found in the catalog.

The Chinese roots of linear algebra

Roger Hart

- 283 Want to read
- 12 Currently reading

Published
**2011**
by Johns Hopkins University Press in Baltimore, MD
.

Written in English

- Chinese Mathematics,
- Linear Algebras,
- History,
- Intellectual life

**Edition Notes**

Statement | Roger Hart |

Classifications | |
---|---|

LC Classifications | QA27.C5 H37 2011 |

The Physical Object | |

Pagination | xiii, 286 p. : |

Number of Pages | 286 |

ID Numbers | |

Open Library | OL24895651M |

ISBN 10 | 0801897556 |

ISBN 10 | 9780801897559 |

LC Control Number | 2010924546 |

OCLC/WorldCa | 665137775 |

$\begingroup$ Another method to show the "only if " direction is to use the fact that the trace of $\zeta_n$ is equal to zero if n is not square free, while by definition, the trace of $\zeta_n$ in this case is exactly the same as the sum of all the primitive n-th roots of unity, so we have a linearly dependent relation over $\mathbb{Q}$ for. Abstract. The Chinese Roots of Linear Algebra by Roger Hart chronicles the linear problems of ancient China in the Nine Chapters of the Mathematical Art, and supplies new insights about their t: 5 pageAuthor: Joseph F. Grcar.

Algebra is used for are to solve systems of linear format, to find least-square best fit lines to predict future outcomes or find trends, and the use of the Fourier series expansion as a means to solving partial differential Size: 90KB. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Roger Hart.

troduction to abstract linear algebra for undergraduates, possibly even ﬁrst year students, specializing in mathematics. Linear algebra is one of the most applicable areas of mathematics. It is used by the pure mathematician and by the mathematically trained scien-tists of all disciplines. This book is directed more at the former audienceFile Size: 1MB. Advance Abstract Algebra. This note explains the following topics: Linear Transformations, Algebra Of Linear Transformations, Characteristic Roots, Characteristic Vectors, Matrix Of Transformation, Canonical Form, Nilpotent Transformation, Simple Modules, Simi-simple Modules, Free Modules, Noetherian And Artinian Modules, Noetherian And Artinian Rings, Smith Normal Form, Finitely .

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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, by: 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.

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.

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, years.

Roger Hart‘s The Chinese Roots of Linear Algebra (Johns Hopkins University Press, ) is the first book-length study of linear algebra in imperial China, and is based on an astounding combination of erudition and expertise in both Chinese history and the practice and history of linear algebra.

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, years. A book I have recently completed, Chinese Roots of Linear Algebra, shows that the methods taught today in modern linear algebra can be found in mathematical texts in early imperial China.

More specifically, in modern linear algebra there are two fundamentally different methods for solving systems of n linear equations in n unknowns: Gaussian elimination and determinants. The Chinese Roots of Linear Algebra 作者: Roger Hart 出版社: Johns Hopkins University Press 出版年: 页数: 定价: USD 装帧: Hardcover ISBN: History of Chinese Linear Algebra Written by Charles Luettgen Citadel Linear Algebra Professor Mei Chen, Instructor.

Abbreviated history of Chinese Linear Algebra with references to Modern Western Linear Algebra Techniques of Gaussian Elimination and Solution by Size: KB. Every time I’ve taught the course (undergraduate), I’ve been saddled with someone else’s choice of text.

And they’ve generally been isomorphic (the same) and not particularly inspiring. So I’m going with speculation here - in terms of what I think.

Hart, Roger. The Chinese roots of linear algebra (review) Article (PDF Available) January As recent studies on late Ming and early Qing book history have shown, : Andrea Bréard.

The Chinese Roots of Linear Algebra will be essential reading for those interested in the history of Chinese mathematics." — John N. Crossley, Emeritus Professor, Monash University "A pivotal work in the history of non-Western mathematics that will revolutionize people's understanding of the origins of techniques previously viewed as Western inventions.".

The Chinese Roots of Linear Algebra. By ROGER HART. Baltimore: JOHNS HOPKINS UNIVERSITY PRESS, Pp. xiii + $ This book is about f[]ngcheng [TEXT NOT REPRODUCIBLE IN ASCII] litt a procedure in ancient Chinese mathematics for solving parallel equations with multiple unknowns.

The Chinese Roots of Linear Algebra by Roger Hart Article (PDF Available) in Journal of the American Oriental Society (4) January with Reads How we measure 'reads'. The Chinese Roots of Linear Algebra eBook: Hart, Roger: : Kindle Store.

Skip to main Try Prime Hello. Sign in Account & Lists Account & Lists Returns & Orders Try Prime Cart. Kindle Store. Go Search Hello Select your Author: Roger Hart. Book Reviews; Research by USC Faculty; Research by USC Students; K Education are here.

Home / Events. The Chinese Roots of Linear Algebra. Roger Hart from the University of Texas at Austin will speak on Chinese roots of linear algebra at Princeton. When: Ma pm to pm. USC US-China Institute. Watt Way, ASC G vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.

Another standard is book’s audience: sophomores or juniors, usually with a background of at least one semester of calculus. Despite this personal bias, The Chinese Roots of Linear Algebra is a very useful and thought provoking book.

I highly recommended it for personal reading and library acquisition. See also the MAA Review by Charles Ashbacher. Title: Review of The Chinese Roots of Linear Algebra by Roger Hart.

Authors: Joseph F. Grcar (Submitted on 12 Apr ) Abstract: The Chinese Roots of Linear Algebra by Roger Hart chronicles the linear problems of ancient China in the Nine Chapters of the Mathematical Art, and supplies new insights about their by: 1.

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. Rating: (not yet rated) 0 with reviews - Be the first. Access Google Sites with a free Google account (for personal use) or G Suite account (for business use).Roots of Linear Algebra: An Historical Exploration of Linear Systems Christine Andrews-Larson To cite this article: Christine Andrews-Larson () Roots of Linear Algebra: An Historical is evidence that the Chinese were using an equivalent procedure to solve sys-tems of linear equations as early as BC [13,24].

The second surprise wasFile Size: KB.tion to the study of early Chinese thought. Michael Hunter Princeton University The Chinese Roots of Linear Algebra.

By Roger Hart. Baltimore: Johns Hopkins University Press, Pp. xiii + $ This book is about fāngchéng 方程, a procedure in ancient Chinese mathematics for solving parallel equations with multiple unknowns.