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Linear Algebra Through Geometry

Posted on 2010-03-27




Name:Linear Algebra Through Geometry
ASIN/ISBN:0387907874
Language:English
File size:1.6 Mb
Publish Date: 1983
ISBN: 0387907874, 3540907874
Pages: 257 pages
File Size: 1,6 MB
Other Info: Springer-Verlag; Djvu
   Linear Algebra Through Geometry

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Thomas Banchoff, John Wermer, ""

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. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry.

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