Vectors and matrices / by Cyrus Colton MacDuffee.

Format:

Book

Author/Creator:

MacDuffee, Cyrus Colton, 1895- author.

Series:

Carus mathematical monographs ; Number 7.

Carus Mathematical Monographs ; Number 7

Language:

English

Subjects (All):

Matrices.

Physical Description:

1 online resource (xi, 192 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Vectors & Matrices

Place of Publication:

Washington : Mathematical Association of America, 1943.

Language Note:

English

Summary:

The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. In 1943 a course in linear algebra did not yet exist as a standard part of the undergraduate curriculum. It would be another twenty years before that would become common. It is, however, easy to identify the defining features of that course in this volume. Start with the idea of solving linear systems; change the point of view to that of transformations on vector spaces; recognize similarity as an essential classifying principle; and catalogue the canonical forms (Jordan normal form) of the transformations. All of this is here but with a decided, old-fashioned, algebraic accent - there is only one figure in the entire text.

Contents:

Systems of linear equations

Vector spaces

Determinants

Matric polynomials

Union and intersection

The rational canonical form

Elementary divisors

Orthogonal transformations

Endomorphisms.

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61444-007-7