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Introduction to Higher Algebra by Maxime Bocher ISBN: 0486495701 Dover Publications Price: $55.00 click here to see this book 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. Table of Contents for Introduction to Higher Algebra Partial contents: Polynomials and Their Most Fundamental Properties The Theory of Linear Dependence Linear Equations Invariants--First Principles and Illustrations Geometric Introduction to the Study of Quadratic Forms Quadratic Forms Some Properties of Polynomials in General Symmetric Polynomials The Equivalence and Classification of Pairs of Bilinear Forms and of Collineations

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