Written by one of America's most influential teachers, this text presents the fundamentals of higher algebra and a thorough foundation in algebraic principles. Beginning with an account of polynomials and their basic properties, it examines determinants and Laplace's development, multiplication theorem, bordered and adjoint determinants, the theory of linear dependence, linear equations, and related topics. A treatment of theorems concerning the rank of a matrix is followed by chapters on linear transformations and the combination of matrices, invariant and bilinear forms. Additional topics include quadratic forms, factors of polynomials, theorems on integral rational invariants, and elementary divisors. 1907 ed. Preface. Index.
Here's a sample of other books in this Dover category
Linear Algebra and Geometry: A Second Course by Irving Kaplansky The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. This volume features examples, exercises, and proofs. 1974 edition.
Abstract Algebra by W. E. Deskins Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
Elements of Abstract Algebra by Allan Clark Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
