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Linear Algebra Through Geometry (Paperback, 2nd ed. 1992. Softcover reprint of the original 2nd ed. 1992)
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Linear Algebra Through Geometry (Paperback, 2nd ed. 1992. Softcover reprint of the original 2nd ed. 1992)
Series: Undergraduate Texts in Mathematics
Expected to ship within 10 - 15 working days
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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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