Part: Linear Algebra
Linear algebra is the study of vector spaces, that we have already introduced as a special kind of algebraical structure, and linear maps between those vector spaces. We will introduce the theory step by step, starting with systems of linear equations emphasizing Euclidean spaces and matrices, and moving on to abstract spaces and linear maps.
Table of Contents
 Chapter: Introduction to Matrices and Vectors
 Chapter: Linear Equations and Systems of Linear Equations (SLEs)
 Chapter: Vectors Revised  Vector Spaces
 Chapter: Vectors
 Chapter: Eigenvalues and Eigenvectors
 Chapter: Principal Axis Transformation
 Chapter: Jordan Normal Form
 Chapter: Rotations and Basic Transformations
 Chapter: Determinants
 Chapter: Affine Spaces
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Branches: 1
Parts: 2
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References
Bibliography
 Koecher Max: "Lineare Algebra und analytische Geometrie", SpringerVerlag Berlin Heidelberg New York, 1992, 3rd Volume
 Reinhardt F., Soeder H.: "dtvAtlas zur Mathematik", Deutsche Taschenbuch Verlag, 1994, 10th Edition
 Wille, D; Holz, M: "Repetitorium der Linearen Algebra", Binomi Verlag, 1994