Matrices ' Methods and Applications'

Erscheinungsjahr 1990
ISBN: 978-0-19-859680-6
Verlag: OUP Oxford

Buch, Englisch, 466 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 655 g

Reihe: Oxford Applied Mathematics and Computing Science Series

Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any 'tool kit' of applied mathematics. This wide-ranging textbook provides a clearly written and up-to-date account of these methods, suitable for both undergraduates and more advanced students.

The aim is to provide a down-to-earth approach with results illustrated by many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. In addition, the book contains numerous exercises, together with answers, making it ideal for students in any field where matrices are used.

Autoren/Hrsg.

Barnett, Stephen

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)

Inhaltsverzeichnis

How matrices arise; Basic algebra of matrices; Unique solution of linear equations; Determinant and inverse; Rank, non-unique solution of equations, and applications; Eigenvalues and eigenvectors; Quadratic and hermitian forms; Canonical forms; Matrix functions; Generalized inverses; Polynomials, stability, and matrix equations; Polynomial and rational matrices; Patterned matrices; Miscellaneous topics; Bibliography; Index.