• Part I Affine geometry: vector spaces; matrices; systems of linear equations; some linear algebra; rank; determinants; affine space - (I) - (II); geometry of affine planes; geometry of affine space; linear maps; linear maps and matrices, affine changes of coordinates; linear operators; transformation groups. Part II Euclidean geometry: bilinear and quadratic forms; diagonalizing quadratic forms; scalar product; vector product; Euclidean space; unitary operators and isometries; isometries of the plane and of three-dimensional space; the complex case.

"Written in a clear and readable style, this text can be recommended to every student, who is interested to see the beautiful connections between Algebra and Geometry and to learn the necessary notions and theorems in order to understand it."-Monatshefte fir mathematik

• Part I Affine geometry: vector spaces; matrices; systems of linear equations; some linear algebra; rank; determinants; affine space - (I) - (II); geometry of affine planes; geometry of affine space; linear maps; linear maps and matrices, affine changes of coordinates; linear operators; transformation groups. Part II Euclidean geometry: bilinear and quadratic forms; diagonalizing quadratic forms; scalar product; vector product; Euclidean space; unitary operators and isometries; isometries of the plane and of three-dimensional space; the complex case.

"Written in a clear and readable style, this text can be recommended to every student, who is interested to see the beautiful connections between Algebra and Geometry and to learn the necessary notions and theorems in order to understand it."-Monatshefte fir mathematik

• Part I Affine geometry: vector spaces; matrices; systems of linear equations; some linear algebra; rank; determinants; affine space - (I) - (II); geometry of affine planes; geometry of affine space; linear maps; linear maps and matrices, affine changes of coordinates; linear operators; transformation groups. Part II Euclidean geometry: bilinear and quadratic forms; diagonalizing quadratic forms; scalar product; vector product; Euclidean space; unitary operators and isometries; isometries of the plane and of three-dimensional space; the complex case.

"Written in a clear and readable style, this text can be recommended to every student, who is interested to see the beautiful connections between Algebra and Geometry and to learn the necessary notions and theorems in order to understand it."-Monatshefte fir mathematik