Introduction to Higher Algebra.
New York: The Macmillan Company., 1952.Tabla de Contenido
Preliminares.
Contents.
Introduction to Higher Algebra.
Chapter I: Polynomials and their most fundamental properties.
Chapter II: A few properties of Determinants.
Chapter III: The Theory of Linear Dependence.
Chapter IV: Linear Equations.
Chapter V: Some theorems concerning the rank of a Matrix.
Chapter VI: Linear Transformations and the Combination of Matrices.
Chapter VII: Invariants, First Principles and Illustrations.
Chapter VIII: Bilinear Forms. - Chapter IX: Geometric Introduction to the study of Quadratic Forms.
Chapter X: Quadratic Forms.
Chapter XI: Real Quadratic Forms.
Chapter XII: The System of a Quadratic Form and one or more Linear Forms. - Chapter XIII: Pairs of Quadratic Forms.
Chapter XIV: Some properties of Polynomials in General.
Chapter XV: Factors and Common Factors of Polynomials in one variable and of Binary Forms.
Chapter XVI: Factors of Polynomials in two or more variables.
Chapter XVII: General Theorems on Integral Rational Invariants.
Chapter XVIII: Symmetric Polynomials.
Chapter XIX: Polynomials Symmetric in pairs of variables.
Chapter XX: Elementary divisors and the Equivalence of Matrices.
Chapter XXI: The Equivalence and Classification of pairs of Bilinear Forms and of Collineations.
Chapter XXII: The Equivalence and Classification of pairs of Quadratic Forms.
Index.