Linear Algebra Through Geometry

Linear Algebra Through Geometry
ISBN-10
1461243904
ISBN-13
9781461243908
Category
Mathematics
Pages
316
Language
English
Published
2012-12-06
Publisher
Springer Science & Business Media
Authors
Thomas Banchoff, John Wermer

Description

This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.

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