Quadratic Forms and Matrices: An Introductory Approach - Softcover

Yefimov, N. V.

9781483256535: Quadratic Forms and Matrices: An Introductory Approach

Softcover

ISBN 10: 1483256537 ISBN 13: 9781483256535

Publisher: Academic Press, 1964

View all copies of this ISBN edition

0 Used

2 New

From US$ 51.27

Quadratic Forms and An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices.The publication first offers information on the general theory of quadratic curves, including reduction to canonical form of the general equation of a quadratic curve, invariants and classification, reduction to canonical form of the equation of a quadratic curve with center at the origin, and transformation of coordinates in the plane. The text then examines the general theory of quadratic surfaces. Topics include transformation of rectangular coordinates in space; general deductions based on the formulas for the transformation of coordinates; reduction to canonical form of the equation of a quadric with center at the origin; and reduction to canonical form of the general equation of a quadric surface.The manuscript ponders on linear transformations and matrices, including reduction of a quadratic form to canonical form; reduction to canonical form of the matrix of a symmetric linear transformation of space; change of the matrix of a linear transformation due to a change of basis; and geometric meaning of the determinant of a linear transformation.The publication is a vital reference for researchers interested in the study of quadratic forms and matrices.

"synopsis" may belong to another edition of this title.