A01=E. Sernesi
Affine Geometry
Affine Plane
Affine Space
Affine Subspaces
Affine Transformations
Author_E. Sernesi
Bilinear Form
Cartesian Equation
Category=PBF
Convex Angle
Elementary Row Operations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Spaces
Euclidean Vector Space
Finite Dimensional
Finite Dimensional Vector Space
Geometric Vectors
Homogeneous Polynomials
Linearly Independent
Non-zero Scalars
Oriented Angle
Orthonormal Basis
Quadratic Form
Real Vector Space
Skew Symmetric Matrix
Symmetric Bilinear Form
Vector Space
Vector Subspace
Product details
- ISBN 9780412406805
- Weight: 710g
- Dimensions: 156 x 234mm
- Publication Date: 15 May 1993
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
