Linear Algebra: A Geometric Approach

by E. Sernesi

Overview

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, finis

Product Details

ISBN-13:	9781351435284
Publisher:	CRC Press
Publication date:	01/22/2019
Series:	Chapman Hall/CRC Mathematics Series
Sold by:	Barnes & Noble
Format:	eBook
Pages:	384
File size:	16 MB
Note:	This product may take a few minutes to download.

About the Author

E. Sernesi

Table of Contents

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.

Editorial Reviews

Written for undergraduates, this text is distinguished from the many others on the subject in that it develops linear algebra hand- in-hand with the geometry of linear spaces in such a way that the understanding of each reinforces the other. Translated from the Italian. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"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

From the Publisher