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. Not designed as an introductory text. 1961 edition.
Rational Quadratic Forms by J. W. S. Cassels Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.
Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form by I. M. Glazman, Ju. I. Ljubic, G. P. Barker, G. Kuerti A sequence of 2,400 propositions and problems features only hints.Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 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.
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.
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.
