🎉   Please check out our new website over at books-etc.com.

Seller
Your price
£64.88
RRP: £87.00
Save £22.12 (25%)
Dispatched within 3-5 working days.

Matrix Theory

Graduate Studies in Mathematics

By (author) Xingzhi Zhan
Genres: Mathematics, Algebra
Format: Hardback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Aug 2013
Dimensions: w 184mm h 260mm d 25mm
Weight: 626g
ISBN-10: 0821894919
ISBN-13: 9780821894910
Barcode No: 9780821894910
Trade or Institutional customer? Contact us about large order quotes.
Synopsis
Matrix theory is a classical topic of algebra that had originated, in its current form, in the middle of the 19th century. It is remarkable that for more than 150 years it continues to be an active area of research full of new discoveries and new applications. This book presents modern perspectives of matrix theory at the level accessible to graduate students. It differs from other books on the subject in several aspects. First, the book treats certain topics that are not found in the standard textbooks, such as completion of partial matrices, sign patterns, applications of matrices in combinatorics, number theory, algebra, geometry, and polynomials. There is an appendix of unsolved problems with their history and current state. Second, there is some new material within traditional topics such as Hopf's eigenvalue bound for positive matrices with a proof, a proof of Horn's theorem on the converse of Weyl's theorem, a proof of Camion-Hoffman's theorem on the converse of the diagonal dominance theorem, and Audenaert's elegant proof of a norm inequality for commutators. Third, by using powerful tools such as the compound matrix and Grobner bases of an ideal, much more concise and illuminating proofs are given for some previously known results. This makes it easier for the reader to gain basic knowledge in matrix theory and to learn about recent developments.

New & Used

Seller Information Condition Price
-New£64.88
+ FREE UK P & P

What Reviewers Are Saying

Submit your review
Newspapers & Magazines
"There are plenty of exercises to be had, and the author's goal is clearly to guide able and willing graduate students toward research in this area ... I think Zhan will be successful in this enterprise: it's a very nice book indeed."
-- MAA