INTRODUCTION TO HIGHER ALGEBRA by Maxime Bocher Late Professor of Mathematics, Harvard University. The book offers the basic material on fundamental topics of higher algebra, such as polynomials, determinants, matrices, and elimination theory, and the student is provided with a thorough foundation in algebraic principles. Beginning with an account of polynomials and their basic properties, the text then takes up such matters as bordered and adjoint determinants, the theory of linear dependence, linear equations, and the like. The treatment of some theorems concerning the rank of a matrix is given, followed by chapters on linear transformations and the combination of matrices in variants and bi-linear forms.
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