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Linear Algebra: A Geometric Approach

Linear Algebra: A Geometric Approach

Paperback

Series: Chapman Hall/CRC Mathematics, Book 7

AlgebraGeometry

ISBN10: 0412406802
ISBN13: 9780412406805
Publisher: CRC Press
Published: May 15 1993
Pages: 380
Weight: 1.17
Height: 0.78 Width: 6.14 Depth: 9.21
Language: English
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.

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Algebra