Linear Algebra: A Geometric Approach (Chapman & Hall Mathematics Series (Closed)) - Hardcover

Sernesi, E.

Hardcover

ISBN 10: 0412406705 ISBN 13: 9780412406706

Publisher: Chapman and Hall, 1992

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.

About this title

Review

"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

Edition details

• Publisher: Chapman and Hall
• Publication date: 1992
• Language: English
• ISBN 10: 0412406705
• ISBN 13: 9780412406706
• Binding: Hardcover
• Number of pages: 320