Sam Perlis - Theory of Matrices

Beschrijving boek

This Dover edition, first published in 1991, is an unabridged and unaltered republication of the 1958 third printing of the work first published by the Addison-Wesley Publishing Company, Inc., in 1952. 

Matrix theory is one of the most important and useful branches of mathematics with applications in such diverse fields as education, psychology, chemistry, physics, engineering, statistics and economics. Moreover, the theory has numerous functions within mathematics itself.

This volume offers an exceptionally useful text for mathematics majors taking a first course in the theory of matrices. The main theme of the book is the establishment of the well-known canonical forms. Rank, non-singularity and inverses are introduced in connection with the development of canonical matrices under the relation of equivalence, and without the intervention of determinants. Congruence and Hermitian congruence are also treated in detail.

To make the book as accessible as possible, Professor Perlis has exercised exceptional care in writing proofs, discussions and examples to illustrate definitions and theorems. There is also a generous supply of exercises including adequate amounts of numerical work, but bearing heavily on simple theoretical questions. In addition, numerous supplementary problems are treated in appendixes located at the ends of various chapters. In this way they are available near the point at which they become relevant but are not intrusions upon the orderly development of the main theorems.