Kevin O'Meara, John Clark, Charles Vinsonhaler

Advanced Topics in Linear Algebra

Weaving Matrix Problems Through the Weyr Form

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 432
• Erscheinungstermin: 16. September 2011
• Englisch
• Abmessung: 239mm x 160mm x 30mm
• Gewicht: 658g
• ISBN-13: 9780199793730
• ISBN-10: 0199793735
• Artikelnr.: 33253841

Autorenporträt

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.

Inhaltsangabe

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