Advanced Topics in Linear Algebra - Weaving Matrix Problems Through the Weyr Form

Informationen zum Autor Kevin O'Meara has taught and researched broadly within algebra, based mostly at the University of Canterbury, New Zealand, but with many visits to the University of Connecticut, USA. Linear algebra has been a recurring theme in much of his work, often in novel settings. 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. Klappentext This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts. Zusammenfassung This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts. Inhaltsverzeichnis Preface Chapter 1. Background Linear Algebra Chapter 2. The Weyr Form Chapter 3. Centralizers Chapter 4. The Module Setting Chapter 5. Gerstenhaber's Theorem Chapter 6. Approximate Simultaneous Diagonalization Chapter 7. Algebraic Varieties Bibliography

Product details

• Authors: John Clark, John (Associate Professor Clark, Kevin C./ Clark Meara, O&apos, Kevin O'Meara, Kevin C O'Meara, Kevin C. O'Meara, Kevin C./ Clark O'Meara, O'Meara Kevin, Charles Vinsonhaler, Charles I Vinsonhaler, Charles I. Vinsonhaler, Vinsonhaler Charles
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 16.09.2011
• EAN: 9780199793730
• ISBN: 978-0-19-979373-0
• No. of pages: 400
• Dimensions: 165 mm x 248 mm x 32 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, USA, MATHEMATICS / Geometry / General, MATHEMATICS / Algebra / General, geometry, United States of America, USA