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.