ENGLISH

Linear Algebra Through Geometry

By John Wermer (auth.) , Thomas Banchoff

Book information

Publisher
Springer-Verlag New York
Year
1992
ISBN
978-1-4612-8752-0, 978-1-4612-4390-8
DOI
10.1007/978-1-4612-4390-8
Language
english
Format
PDF
Filesize
9 MB (9011357 bytes)
Series
Undergraduate Texts in Mathematics
Edition
2
Pages
308\315
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Linear and Multilinear AlgebrasMatrix Theory; Geometry

Description

Linear Algebra Through Geometry 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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