Advanced Topics in Linear Algebra: Weaving Matrix Problems through the Weyr Form
Language: English
Published by Oxford University Press, 2011
- Hardcover
- New
Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections
AbeBooks seller since March 25, 2015
Condition: New
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In English.
Seller Inventory # ria9780199793730_new
- Title
- Advanced Topics in Linear Algebra: Weaving Matrix Problems through the Weyr Form
- Author
- O'Meara, Kevin; Clark, John; Vinsonhaler, Charles
- Publisher
- Oxford University Press
- Publication year
- 2011
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0199793735
- ISBN 13
- 9780199793730
- Item weight
- 890 grams
In this book, the authors develop the Weyr form from scratch, and include an algorithm for computing it. The Weyr form is also derived ring-theoretically in an entirely different way to the classical derivation of the Jordan form. A fascinating duality exists between the two forms that allows one to flip back and forth and exploit the combined powers of each. The book weaves together ideas from various mathematical disciplines, demonstrating dramatically the variety and unity of mathematics. Though the book's main focus is linear algebra, it also draws upon ideas from commutative and noncommutative ring theory, module theory, field theory, topology, and algebraic geometry.
Advanced Topics in Linear Algebra offers self-contained accounts of the non-trivial results used from outside linear algebra, and lots of worked examples, thereby making it accessible to graduate students. Indeed, the scope of the book makes it an appealing graduate text, either as a reference or for an appropriately designed one or two semester course. A number of the authors' previously unpublished results appear as well.
"Synopsis" may belong to another edition of this title.
About the Author
John Clark is Associate Professor in the Department of Mathematics and Statistics at University of Otago, New Zealand. His research interests are in the theory of rings and modules.
Chuck Vinsonhaler has over 100 publications, most in algebra, a few in actuarial science and mathematics education. He coauthored a small book on problem solving with Tom DeFranco. He has held a number of visiting positions, including the University of Canterbury, NZ, where he was an Erskine Fellow.
"About the title" may belong to another edition of this title.
Ria Christie Collections
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AbeBooks seller since March 25, 2015
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