Linear algebra and geometry - Shafarevich, I. R. d; Remizov, Alexey O. (Berlin ; New York : Springer, 2013)
Linear Equations -- Matrices and Determinants -- Vector Spaces -- Linear Transformations of a Vector Space to Itself -- Jordan Normal Form -- Quadratic and Bilinear Forms -- Euclidean Spaces -- Affine Spaces -- Projective Spaces -- The Exterior Product and Exterior Algebras -- Quadrics -- Hyperbolic Geometry -- Groups, Rings, and Modules -- Elements of Representation Theory.
The original Russian edition was published as "Linejnaya algebra i geometriya" by Fizmatlit, Moscow, 2009.
Includes bibliographical references and index.
Keywords: Algebras, Linear; Geometry