Griffel: Linear ∗algebra∗ & Its Applications – A First Course (cloth): v. 1 (Mathematics and its Applications) - Hardcover

GRIFFEL, DH

Hardcover

ISBN 10: 0853129460 ISBN 13: 9780853129462

Publisher: John Wiley & Sons, 1989

Synopsis

This second volume in a two-volume work describes relevant and modern applications of linear algebra and its fundamental role in physics. It is designed to be read independently as well as in conjunction with Volume 1. It reviews matrix representation and eigenvalue problems as well as change of basis for vectors and mappings, and reviews error correcting codes and proofs. There is discussion of the diagonalization of operators as well as the triangularization of operators with the applications of the triangular form. Attention is paid to inner products and real inner product spaces, with detailed discussion of orthogonal sets, bases, and complements. The author discusses extensively self-adjoint operators (which covers Rayleigh's Principle, positive-definite matrices and Gaussian elimination), least squares approximation, and approximation in inner product spaces. Normal equations are examined while a large section on duality incorporates linear functionals, transformation of covectors, annihilators, and duality and linear equations. Each chapter concludes with a set of proofs and an appendix presents solutions to exercises.

Edition details

• Publisher: John Wiley & Sons
• Publication date: 1989
• ISBN 10: 0853129460
• ISBN 13: 9780853129462
• Binding: Hardcover
• Language: English
• Number of pages: 304