The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition. Unabridged republication of the edition published by Chelsea Publishing Company, New York, 1974.
Linear Algebra by Georgi E. Shilov Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, and more.
Lectures on Linear Algebra by I. M. Gel’fand Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. 1961 edition.
Basic Algebra I: Second Edition by Nathan Jacobson A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
Geometry of Classical Fields by Ernst Binz, Jedrzej Sniatycki, Hans Fischer A canonical quantization approach to classical field theory, this text includes an introduction to differential geometry, the theory of Lie groups, and covariant Hamiltonian formulation of field theory. 1988 edition.
Linear Algebra and Projective Geometry by Reinhold Baer Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Introduction to Higher Algebra by Maxime Bocher Brief yet comprehensive, this well-known text by an influential teacher offers an unsurpassed presentation of the fundamentals of higher algebra—polynomials, determinants, matrices, and elimination theory—that provides students with a thorough foundation in algebraic principles. 1907 edition.
