Linear Algebra: A Geometric Approach - Couverture rigide

Livre 10 sur 13: Chapman Hall/CRC Mathematics

Sernesi, E.

 
9780412406706: Linear Algebra: A Geometric Approach

Synopsis

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. The text is divided into two parts: Part I is on linear algebra and affine geometry, finishing with a chapter on transformation groups; Part II is on quadratic forms and their geometry (Euclidean geometry), including a chapter on finite subgroups of O(2). Each of the chapters concludes with exercises and a selection of these have solutions at the end of the book. The chapters also contain many examples, both numerical worked examples (mostly two and three dimensions), as well as examples which take some of the ideas further. Many of the chapters contain "complements" which develop more special topics, and which can be omitted on a first reading. The structure of the book is designed to allow as much flexibility as possible in designing a course, both overall by omitting chapters, and within chapters by omitting the complements or specific examples.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 II is on quadratic forms and their geometry (Euclidean geometry), including a chapter on finite subgroups of 0 (2).

Each of the 23 chapters concludes with a generous helping of exercises, and a selection of these have solutions at the end of the book. The chapters also contain many examples, both numerical worked examples (mostly in 2 and 3 dimensions), as well as examples which take some of the ideas further. Many of the chapters contain "complements" which develop more special topics, and which can be omitted on a first reading. The structure of the book is designed to allow as much flexibility as possible in designing a course, either by omitting whole chapters or by omitting the "complements" or specific examples.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780412406805: Linear Algebra

Edition présentée

ISBN 10 :  0412406802 ISBN 13 :  9780412406805
Editeur : Chapman and Hall/CRC, 1993
Couverture souple