380 Pages
by
Chapman & Hall
384 Pages
by
Routledge
Also available as eBook on:
This is an undergraduate textbook suitable for linear algebra courses. This is the only textbook that develops the linear algebra hand-in-hand with the geometry of linear (or affine) spaces in such a way that the understanding of each reinforces the other. The text is divided into two parts: Part I is on linear algebra and affine geometry, finishing with a chapter on transformation groups; Part... Read more
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.
Biography
E. Sernesi
"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
