Item description for Gerschgorin and His Circles by Richard S. Varga...
This book studies the original results, and their extensions, of the Russian mathematician, S.A. Gergorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n complex matrix. Since the publication of this paper, there has been many newer results spawned by his paper, and this book will be the first which is devoted solely to this resulting area. As such, it will include the latest research results, such as Brauer ovals of Cassini and Brualdi lemniscates, and their comparisons. This book is dedicated to the late Olga Taussky-Todd and her husband, John Todd. It was Olga who brought to light Gergorin's paper and its significance to the mathematical world. The level of this book requires only a modest background in linear algebra and analysis, and is therefore comprehensible to upper-level and graduate level students in mathematics.
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Est. Packaging Dimensions: Length: 9.4" Width: 6.4" Height: 0.7" Weight: 1 lbs.
Release Date Oct 5, 2004
ISBN 3540211004 ISBN13 9783540211006
Reviews - What do customers think about Gerschgorin and His Circles?
Old man, lay it down before something more regrettable happens. Dec 15, 2006
A friend of mine bought this book who is an expert on vector Matrix Markov type sequences. He had it recommended to him by one of his professor friends. He couldn't make anything of it for trying hard. $79 is too much to pay for a book that the author doesn't even have an idea of the current relevancy of. Both complex analysis and number theory have advanced and the author paid no attention at all. The book has current relevance to complex dynamics in Julia sets and to the theory of Pisot sets through their characteristic matrices and polynomials. If an $10 paperback version were published, some advanced post doctorate student might benefit from it. I think that the editors at Springer should have had better sense than to issue the book in this form. They should have paired the author with someone who was less narrow in his Mathematical point of view. I have discussed this at length by email with the author. As Mathematics professors go, he is more communicative than most, he just hasn't been paying good attention to the mathematics around him for the last 40 years or so?