Linear Algebra : A Geometric Approach

ISBN-13: 9780412406805 / Angielski / Miękka / 1993 / 384 str.

Edoardo Sernesi; E. Sernesi; Sernesi Sernesi

Opis

An undergraduate textbook suitable for linear algebra courses. This text 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.

Recenzje

"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

Spis treści

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.

O autorze

E. Sernesi