Introduction to higher algebra / Maxime Bôcher

By: Bôcher, Maxime, 1867-1918 [autor]Material type: TextTextLanguage: English Publisher: New York : Macmillan, 1929Description: xi, 321 páginas ; 21 x 15 cmContent type: texto Media type: sin mediación Carrier type: volumenSubject(s): ÁlgebraDDC classification: 512.5
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 ilustrations -- 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 λ-Matrices -- The equivalence and classification of pairs of bilinear forms and of collineations -- The equivalence and classification of pairs of quadratic forms
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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 ilustrations -- 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 λ-Matrices -- The equivalence and classification of pairs of bilinear forms and of collineations -- The equivalence and classification of pairs of quadratic forms

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