Linear Algebra (Undergraduate Texts in Mathematics)

This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.

• Topology (Undergraduate Texts in Mathematics)
• Functions of Several Variables (Undergraduate Texts in Mathematics)
• The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)
• Gems of Geometry
• Vector Analysis (Undergraduate Texts in Mathematics)
• Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)
• The Four Pillars of Geometry (Undergraduate Texts in Mathematics)
• Geometry (Springer Undergraduate Mathematics Series)
• Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics)
• Differential Forms and Applications (Universitext)