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Introduction to higher algebra,

Author: Maxime Bôcher; E P R Duval
Publisher: New York, Macmillan, 1922, [©1907]
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Bôcher, Maxime, 1867-1918.
Introduction to higher algebra.
New York, Macmillan, 1922, [©1907]
(OCoLC)624471313
Document Type: Book
All Authors / Contributors: Maxime Bôcher; E P R Duval
OCLC Number: 1012187
Description: xi, 321 pages 22 cm
Contents: Polynomials and their most fundamental properties --
A few properties of determinants --
The theory of linear dependence --
Linear equations --
Some theorems concerning the rank of a matrix --
Linear transformations and the combination of matrices --
Invariants. First principles and illustrations --
Bilinear forms --
Geometric introduction to the study of quadratic forms --
Quadratic forms --
Real quadratic forms --
The system of a quadratic form and one or more linear forms --
Pairs of quadratic forms --
Some properties of polynomials in general --
Factors and common factors of polynomials in one variable and of binary forms --
Factors of polynomials in two or more variables --
General theorems on integral rational invariants --
Symmetric polynomials --
Polynomials symmetric in pairs of variables --
Elementary divisors and the equivalence of matrices --
The equivalence and classification of pairs of bilinear forms and of collineations --
The equivalence and classification of pairs of quadratic forms.
Responsibility: by Maxime Bôcher. Prepared for publication with the cooperation of E.P.R. Duval.

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